1 求图中阴影部分面积
22 ，b= . (1)811,若则aba,,，,
(2)根据上述规律，第n个等式是 .
4((1)如图，是用四张相同的长方形纸片拼成的图形，请利用图中空白部分的面积的不同
表
关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf
示方法写出一个关于a,b的恒等式。
b
a
(2)请你设计一个图形，并标出相应长度字幕，是岂能同样证明这个等式成立。
5.用火柴棒做如下实验
第一个 第二个 第三个
如果搭出第20个三角形需________根火柴棒
如果搭出第30个三角形需________根火柴棒
„„„„„„„
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
如果搭出第n个三角形需________根火柴棒
6. 如图，6个正方形无缝拼接成一个大长方形，中间最小的一个正方形的面积为1，求这个大长方形的面积。
12341，，，，7、第一式:;
23454，，，，第二式:;
34569，，，，第三式:;
456716，，，，第四式:;
用含字母的式子表示第个式子是____________________(为正整数)。 nnn
8、图a是一个长为2 m、宽为2 n的长方形, 沿图中虚线用剪刀均分成四块小长方形, 然后按图b的形状拼成一个正方形.
n m
n m m m
n
m n n 图a m n
图b
(1)、你认为图b中的阴影部分的正方形的边长等于多少?
(2)、请用两种不同的方法求图b中阴影部分的面积.
方法1:
方法2:
(3)、观察图b你能写出下列三个 代数式之间的等量关系吗?
22，，，，m，n, m,n, mn .代数式:
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
(4)、根据(3)
题
快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题
中的等量关系，解决如下问题:
2若，则= . a，b,7,ab,5(a,b)
9.在边长为a的正方形纸片中剪去一个边长为b的小正方形，把余下的部分沿虚线剪开，拼成一个矩形，分别计算这两个图形阴影部分的面积，可以验证的乘法公式是 (用字母表示)
a
a
a a
设直角三角形的直角边分别是a,b,斜边为c,将这样的四个完全相同的直角三角形拼成正方形,
222abc，,验证等式成立
10、用黑白两种颜色的正六边形地面砖按如下规律拼接若干图案?在第四个图案中有白色地砖_____块;?在第n个图案中有白色地砖_____块。
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
1111.计算: ; (1,)，(1,),2223
111 ; (1,)，(1,)，(1,),222234
1111= ; (1,)，(1,)，？，(1,)，(1,).222223910
1111 . (1,)，(1,)，？，(1,)，(1,),222223(n,1)n
12(已知:如图，用四块底为b、高为a、斜边为c的直角三角形拼成一个正方形， (1)用两种方法求图形中央的小正方形的面积;
(2)三角形的三条边a、b、c之间有怎样的关系,
13、如图，用正方体石墩垒石梯，下图分别表示垒到一、二、三阶梯时的情况。那么照这样垒下去，
一级， 二级， 三级
? 填出下表中未填的两空，观察规律。
阶梯级数 一级 二级 三级 四级
石墩块数 3 9
? 到第n级阶梯时，共用正方体石墩 块(用n的代数式表示)。
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
14(已知(如图)用四块大小一样,两直角边的长分别为a、b，斜边的长为c的直角三角形拼成一个正方形ABCD，求图形中央的小正方形EFGH的面积，有
baED(1)= (用a、b表示); AS正方形EFGH
acH(2)= (用c表示); cS正方形EFGHb
(3) 由(1)、(2)，可以得到a、b、c的关系为: cbFc15。观察下列等式: a
9-1,8 BCbGa16-4,12
29题图25-9,16
36-16,20 „„
这些等式反映自然数间的某种规律，设
n(n?1)表示自然数，用关于n的等式表示这
个规律为
b16、从边长为的大正方形纸板中挖去一个边长为的小正方形纸板后，将其裁成四个相同a
的等腰梯形(如图甲)，然后拼成一个平行四边形(如图乙)(那么通过计算两个图形阴影部分的面积，可以验证成立的公式为 ( )
222(A) ()2abaabb，,，，b
222aab(B) ()2abaabb,,,，甲 乙
22(C) ababab,,，,()()
22(D) (a，2b)(a，b),a，3ab，2b
17、已知:如图，用5根火柴搭一个梯形，然后在梯形的右边再接一个梯形上去，如此不断地拼接下去，
梯形个数 „„ 1 2 3 4 5 6 所需火柴„„ 5 9
的根数
n当梯形的个数为时，这个图形的一共用了 根火柴。
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
18、某市电信局为了鼓励市民多用电话，制定如下收费制度:固定电话每月交月租费a元，通话费则采用累计时收费，如果每月通话时间累计不超过100分钟，那么每分钟收0.22元，如果每月通话时间累计超过100分钟，那么超过部分每分钟收0.10元，某固定电话用户10月份通话时间累计x分钟，
(1)求该用户10月份的电话费((用含a、x的代数式表示)
(2)求当a=24,x=120时，该用户所需要交的电话费是多少。
219、一个含的一次二项式与乘积后的多项式中不含一次项，请写出一个这样的x，x，1x
一次二项式
20、寻找规律填空
21，3，1,2，
22，4，1,3，
23，5，1,4，
„„„„
请用含字母的代数式描述上述规律: (为正整数) nn
21、如图，正方形ABCD与正方形BEFG，点C在边BG上，已知正方形ABCD的边长为a，正
方形BEFG的边长为b，用表示下列面积。
G(1)?CDE的面积; F(2)?CDG的面积;
CD(3)?CGE的面积;
(4)?DEG的面积;
AE B
b32、如图:边长为a，的两个正方形，边保持平行，如果从大正方形中剪去小正方形，剩下的图形可以分割成4个大小相等的梯形。请你计算出两个阴影部分的面积，同时说明可以验证哪一个乘法公式的几何意义。
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
33.观察下列式子:
22 ;; 2，4，1,9,36，8，1,49,7
2( 14，16，1,225,15
你得出了什么结论,请用n(n是正整数)来表示，并说明这个结论
的成立。
34、已知一块“十字型”纸板如图，请画出一个面积和这块纸板面积
相等的长方形，并指出此长方形的长和宽。
35.仔细观察下列四个等式: 22 3=2+2+3,
22 4=3+3+4,
22 5=4+4+5,
22 6=5+5+6,
(1)请你写出第5个等式;
(2)并应用这5个等式的规律,归纳总结出一个表示公式;
(3)将这个规律公式认真整理后你会发现什么?
36.如图所示,边长为a的大正方形中有一个边长为b的小正方形.
a
a
b b
b 甲 乙
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
(1)请用字母a和b表示出图中阴影部分的面积;
(2)将阴影部分还能拼成一个长方形,如图乙这个长方形的长和宽分别是多少? 表示出阴影部分的面积;
(3)比较(1)和(2)的结果,可以验证平方差公式吗?请给予解答.
37.
28、我国宋代数学家杨辉在他的著作《详解九章算法》中提出以下表，此表揭示了
n (a，b(n)为非负整数)展开式的各项系数的规律，例如:
1
1 1
1 2 1
1 3 3 1
？？
0ab1, (，)，它只有一项，系数为1;
1abab, (，)，，它只有两项，系数分别为1,1;
222aba2abb1,2,1;, (，)，，，它有三项，系数分别为
32233aba3ab3abb1,3,3, (，)，，，，它有四项，系数分别为,1;
？？
4 根据以上规律，(，)展开式共有_______项，系数分别为_______，ab
4 (a，)=______________________________________________. b
38
29、 如图，点M是AB的中点，点P在MB上.分别以AP、PB为边，作正方形APCD和
正方形PBEF，设AB,4ab，MP,，正方形APCD与正方形PBEF的面积之差为S.
(1)用，的代数式表示abS;CD1 (2)当,abS4、,时，的值是多少,2
EF
APBM
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
39
30、阅读材料并解决问题:我们已经知道，完全平方公式可以用平面几何图形
的面积来表示，实际上还有一些代数恒等式也可以用这种形式表示，例如: 22 (2a+b)(a+b)=2a，3abb(1)，就可以用图或(2)等图形的面积表示.
b2abbab
2ababbbab ab22aaabaaab
222aab2 aaaa2ab2bbabb
aabaa bbaa
图(3)图(1)图(2)
(1)(3)请写出图所表示的代数恒等式;
22(2)(ab)(a3b)a4ab3b试画出一个几何图形，使它的面积能表示:，，，，;,
(3)ab.请仿照上述方法写出另一个含有、的代数恒等式，并画出与之对应的几何图形
b40、如图:一个花坛由两个半圆和一个长方形所组成，长为，宽为。 a
(1)用代数式表示该花坛的面积;
a,100b,40,,3.140.01(2)当米，米时，求这个花坛的面积。(，精确到平方米)
b
a
1.你能说明为什么对于任意自然数n,代数式n(n+7)-(n-3)(n-2)的值都能被6整除吗? 4
b42、如图:边长为a，的两个正方形的中心重合，边保持平行，如果从大正方形中剪去小
ba正方形，剩下的图形可以分割成4个大小相等的等腰梯形。请你用，表示出梯形的高和
22a面积，并由此说明的几何意义。 ababab,,，,()()
b
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
52243(如果，那么的值为 ( ) xyxymyx,,,,0,0m8
5513(A)0 (B) (C) (D) ,,88844(窗户的形状如右图，其上部是半圆形，下部是边长相同的四个小正方形，已知下部小正方形的边长为a cm
(1)求窗户的面积
(2)求窗框的总长
(3)当a = 42时，窗户的面积和窗框的总长分别是多少,(取3.14，结果精确到0.1) ,
5(如下图，A、B、C是三种不同型号的卡片，其中A型是边长为a的正方形，B型是边4
长为b、宽为a的长方形，C型是边长为b的正方形。
(1)试选用这些纸片(每种纸片至少用一次)拼成一个矩形，使拼出的矩形面积为22aabb，，32，并标出此矩形的长和宽
(2)你能利用第(1)小题拼出的矩形面积说明某个多项式乘法的计算规律吗,
C b b B
a A
a a b
cmcmcmxcm46、一个长方体的长是3，宽也是3，高是6，如果把长方体的长增加，且
xcm0,x,3,宽减少，高不变。
问:(1)求原来长方体的体积。(2分)
x(2)用含的代数式表示变化后的长方体体积，且化简。 (2分) (3)变化后的体积是变大还是变小了，为什么,(4分)
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
2247、观察下列算式: ， 31881,,,，
22， 531682,,,，
22， 752483,,,，
22，„„ 973284,,,，
(1)仿照以上的等式，请另外再写出一个等式___________________________;
(2)试用代数式来表述你发现这些算式的规律;
(3)说明你发现的规律的正确性(
48.观察下列等式:
9-1,8 16-4,12 25-9,16
36-16,20 „„
这些等式反映自然数间的某种规律，设
n(n?1)表示自然数，用关于n的等式表示这
个规律为
49(原长方形绿地一块，现进行如下的改造:将长减少2米，宽增加2。改造后得到一块正方形绿地，设正方形绿地一边长为a米。
(1)试用含a代数式表示出原长方形绿地的面积;
(2)改造后正方形面积与原长方形绿地的面积比是增加还是减少了,•增减了多少,
(3)若改造后正方形绿地面积是原长方形绿地的面积的2倍，则改造后正方形绿地面积为多少,
0、先阅读下列解题过程，然后完成后面的题目。 5
4x，4分解因式:
244222222 以，，，，，，解:x，4,x，4x，4,4x,x，2,4x,x，2x，2x,2x，2
4x，4上解法中，在的中间加上一项，使得三项组成一个完全平方式，为了使这个式子的
4x，4值保持与的值相等，必须减去同样的一项。按照这个思路，试把多项式4224分解因式。 x，xy，y
解:
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
51、下面(?)是著名的杨辉三角，观察等式(?)，寻找规律，并对(?)、(?)的划线
部分填空:
(?) (?)
1
1 1 1 ，，a，b,a，b
222 1 2 1 ，，a，b,a，2ab，b
33223 1 3 3 1 ，，a，b,a，3ab，3ab，b
4432234 1 4 6 4 1 ，，a，b,a，4ab，6ab，4ab，b
„„„„„„„„„„„„„„„„„„„„„
6„„„„„„„„„„„„ ，，a，b,
2252、若，则这个单项式= (写出所有的情况). ，，4x，1，单项式,整式
2253、若，求的值 ，，，，x,2007x,2008,2009，，，，x,2007，x,2008
22，总能成立，求ABC的值 54、若对任意的，，x2x,3x，1,A(x,1)，B(x,1)，C
55、 图中若由100个边长分别为100,99,98,…,2,1的正方形重叠而成的, 那么,按这种方式重叠而成的阴影部分面积是多少,
…
99
100
22m，n2m2n2m2nmnmn(1)aa，aa,a56、已知:，，求，(2)(3)的，，，，a，a,12a,a,3
值
2222257、计算填空: ， ，，，，1，1，2，2,,
22222， ，，，，2，2，3，3,,
22222， ，，，，3，3，4，4,,
22222，„„ ，，，，4，4，5，5,,
(1)仿照以上的等式，请另外再写出一个等式___________________________; attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
(2)试用代数式来表述你发现这些算式的规律___________________________;
(3)说明你发现的规律的正确性(
58、阅读理解材料:大数学家高斯在上学读
书
关于书的成语关于读书的排比句社区图书漂流公约怎么写关于读书的小报汉书pdf
时曾经研究过这样一个问题:
1 1+2+3+„+100=,经过研究，这个问题的一般性结论是 ，，1，2，3，？，n,nn，12其中n是正整数，现在我们来研究一个类似的问题: ，，1，2，2，3，？，nn，1,?观察下列三个特殊的等式
1 ，，1，2,1，2，3,0，1，23，
1，，2，3,2，3，4,1，2，33，
1 ，，3，4,3，4，5,2，3，43
1将这三个等式的两边相加，可以得到 1，2，2，3，3，4,，3，4，5,203
读完这段材料，请你思考后回答:
1，2，2，3，？，100，101, (1)
(2)，，1，2，2，3，？，nn，1,
2222(3) 1，2，3，？，n,
59、某市电信局为了鼓励市民多用电话，制定如下收费制度:固定电话每月交月租费a元，通话费则采用累计时收费，如果每月通话时间累计不超过100分钟，那么每分钟收0.22元，如果每月通话时间累计超过100分钟，那么超过部分每分钟收0.10元，某固定电话用户10月份通话时间累计x分钟，求该用户10月份的电话费((用含a、x的代数表示)
22x,3x,1ax，b60、若与关于x的二项式的积不含二次项，则a : b= (
bb61、如图 在边长为的正方形中剪区一个边长是的 a
b
小正方形，把剩下的图形拼成一个梯形。观察图形的 a变化，依据这两个图形间阴影部分的面积关系，便可
a得出一个你非常熟悉的整式乘法公式，请写出这个乘
法公式并说明理由。
bb
aaattempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
42mn2mn2m，na，a,8a,7aa，62知:，，求的值(
11111111111,,,,,,63察下列各式:，，，„，根据观察,,1,,,,,,,,,,57257，1323，35235，,,,,,,
1111计算:((n为正整数) ，，，，？133557(21)(21)，，，,，nn
64(阅读理解
232008232008为了求的值，可令S,， 1，2，2，2，？，21,2，2，2，？，2
23420092009则2S, ，因此2S-S,， 2，2，2，2，？，22,1
2320082009所以,1，2，2，2，？，22,1
2320091，5，5，5，？，5仿照以上推理过程，计算的值(
65、如图，用长度相等的小木棒达成的三角形网格，根据图示填写下列表格。
一层二层三层
四层
层数 1 2 3 4 „ n
所含小三角形的个数
所需小木棒的根数
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
66、某居民小区有一块长方形形状的园地，长(x+a)米，宽(y-a)米，园地中有一条长为a米的水平道路和一条倾斜的道路，道路的两边平行，且入口处长为a米(如图)，其他地方都种花草，求:
(1)计算种花草的园地面积S
(2)如果园地的长和宽的比为5:3，用x、y表示种花4草的园地面积S
a
ayy,,aa
x，a
2451xkxxA，,,，,67、已知:;(A为多项式) 则，A =____________________ ，，
2x，x，168、一个含的一次二项式与乘积后的多项式中不含一次项，请写出一个这样的x
一次二项式 (只要写出一个符合条件的多项式)。 69、如图，大正方形是由4个形状完全相同的直角三角形和一个小正方形拼成的( D(1)在图1中，已知AE=3，AF=4，求小正方形EFGH的面积;
b(2)在图2中，已知AE =，AF =，求大正方形EFGH的面积. aEH3
A
4C
GF
B 图1
图2 attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
70、文明用具厂第一季度用去电费m元，用去的水费比电费的2倍少40元。第二季度的电费比第一季度节约了20%，水费多支出了5%。求?该厂第二季度的水费和电费各为多少, ?该厂第二季度水电费的支出比第一季度节约了多少元,
71、如图，用长度相等的若干根小木棒搭成梯形，根据图示填写下列表格(
一层 二层 三层 四层
„
层数 一层 二层 三层 四层 „ n层 所含三角形„ 2223,2,1 8,3,1 15,4,1 的个数
3(1，2),23(1，2，3),2，，31，2，3，4,2所需小木棒„ 数的根数 =7 =16 =28
四层所含三角形的个数 ;所需小木棒数的根数 n层所含三角形的个数 ;所需小木棒数的根数
长 宽 高 小纸盒 a b c 72(做两个长方形有盖纸盒， 大纸盒 1.5a 2b 2c 尺寸如右表:(单位:cm)
b(1)大纸盒与小纸盒分别用料多少平方厘米,(结果用含，，的代数式表示) ac
b(2)大纸盒比小纸盒多用料多少平方厘米,(结果用含，，的代数式表示) ac
73(有若干张如图所示的正方形和长方形卡片，如果要拼一个长为，宽为的(2)ab，()ab，长方形，则需要A类卡片 张，B类卡片 张，C类卡片
张，请你在答题卷中的大长方形中画出一种拼法(
aaABCba+b
abb 2a+b
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
74(在正常情况下，某出租车司机每天驾车行驶小时，且平均速度为千米/小时( vt
已知他在A日比正常情况少行驶2小时，平均速度比正常情况慢5千米/小时，他在B日比正常情况多行驶2小时，平均速度比正常情况快5千米/小时，
(1)求A日出租车司机比正常情况少行驶多少千米,(用含，的代数式表示) vt
(2)已知A日出租车司机比正常情况少行驶120千米，求B日出租车司机比正常情况多行驶多少千米,
2275(观察下列算式: ， 4,1,3，5
22， 6,3,3，9
22， 8,5,3，13
„„
(1)仿照以上的等式，请另外再写出一个等式___________________________;
(2)试用代数式来表述你发现这些算式的规律;_________________________
(3)证明(2)中的代数式
22b76.若代数式2x,3x，6可化成的形式，求，，的值 aca(x,1)，b(x,1)，c
77. 设直角三角形的直角边分别是a, b,斜边为c, 将这样的四个完全相同的直角三角形
222abc，,拼成正方形,验证等式成立
a c
b
78、某地电话拨号入网有两种收费方式，用户可任选其一，A)计时制:0.05元/分，
B)包月制50元/月，两种收费方式都收通讯费0.02元/分，如果某用户某月上网时间为
x小时，请列出两种收费方式的代数式，并求当x在什么范围的计时制优惠,
10010179、利用因式分解计算所得的结果为……………( ) ，，，，,2，,2
100100,2,1,22 A. B. C. D.
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
80、根据下列图形，回答问题
图1 图2 图3
(1)上面的一组图可以看成由一个正方形发散而形成的，我们发现图2的最外层有4
个正方形，图3中最外层有8个正方形„„若依此规律，图5的最外层有_______
个正方形。
(2)根据(1)中的条件，第n张图的最外层有______________个正方形。 81.如图正方形ABCD与正方形EFCG，已知正方形ABCD的边长为a ， 正方形EFCG的边长为b ，用面积的方法说明平方差公式:
22可以采用如下方法: a,b,(a，b)(a,b)
延长FE与AD交于点H，则
正方形ABCD面积,正方形EFCG面积=长方形ABFH面积+长方形HEGD面积 DAH
2a 因为正方形ABCD面积=
正方形EFCG面积=________;
ba长方形ABFH面积=________; EG长方形HEGD面积=________;
22a,b,所以_____________________;
BCF
22a,b,即________________.
5b82. 某化肥厂今年一月份生产化肥吨，二月份比一月份增产20%，三月份比二月份增产a
吨，四月份又比三月份增产20%，求:(1)二月份和三月份的产量各是多少,(2)四月份比一月份增产化肥多少吨,
22a，2CAB,a，a，1a,5a，283(已知,，,，,.
A，B(1)求;
C,Aa,2CA(2)求，当时，比较与的大小，写出简单的过程(
52222210,xxyyx，，,，,求x-y84(已知的值. ，，
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
212341，，，，,,85(计算填空: ，，，，
2234，，，，,,51 ，，，，
2345，，，，,,61 ，，，，
……
猜测四个连续正整数的积加上1一定是 .
请用学习过的因式分解证明以上结论.
86. 已知:如图，用5根火柴搭一个梯形，然后在梯形的右边再接一个梯形上去，如此不断地拼接下去，当梯形的个数为时，这个图形的一共用了 根火柴。 n
87.人在运动时的心跳速率和人的年龄有关，如果用a表示一个人的年龄，用b表示正常下这个人在运动时所能承受的每分钟心跳的最高次数，则b=0.8(220-a) (1)一个14岁的少年在运动时的所能承受的每分钟心跳的最高次数是多少, (2)一个45岁的人在运动时10秒钟内心跳的次数为22，他有危险吗,
88、某市电信局为了鼓励市民多用电话，制定如下收费制度:固定电话每月交月租费a元，通话费则采用累计时收费，如果每月通话时间累计不超过100分钟，那么每分钟收0.22元，如果每月通话时间累计超过100分钟，那么超过部分每分钟收0.10元，某固定电话用户10月份通话时间累计x分钟，求该用户10月份的电话费((用含a、x的代数表示)
89(小明设计了一个电脑程序，在电脑执行该程序时，第一步将输入的两个数分别进行加、减、乘、“平方和”的运算，得到四个数;第二步将所得到的四个数相乘;第三步将所得到的数取相反数后输出。
(1)如果输入的两个数分别为x、y，请将输出的结果用含x、y的多项式表示;
2(2)如果输入的两个数分别为、3，那么输出的结果是多少, 3
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
90(寻找规律，填空
22(a-b)( ) = a-b
22(a-b)( a+ab+b)=
3223(a-b)( a+ab+ab+b)=
4322355(a-b)( a+ab+ab+ab+ )= a-b
„„„„„„„„„„„„„„„„
nn-1n-222n-2n-1n (a-b)(a+ab+ab+„„ab+ab+b)=
22[a-(-2)][a+a(-2)+(-2)]=
22ba,92. 若代数式可化为，则的值是 ( xxb,，6()1xa,,
93. 下表为杨辉三角系数表的一部分，它的作用是指导读者按规律写出形如(ann，b)(n为正整数)展开式的系数，请你仔细观察下表中的规律，填出(a，b)
展开式中所缺的系数. 1 (a，b)=a，b 1 1 222 (a，b)=a，2ab，b1 2 1
33223(a，b)=a，3ab，3ab，b
1 3 3 1 4432234则(a，b)=a， ab， ab， ab，b
94.某体育馆用大小相同的长方形木板镶嵌场面，第1次铺2块，如图(1);第2次把第1次铺的完全围起来，如图(2);第3次把第2次铺的完全围起来，如图(3);„。依此方法，第n次铺完后，用字母n表示第n次镶嵌所使用的木板数
图1
图2 图3
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
95. 小明做了四个正方形或长方形纸板如图1所示a、b为各边的长，小明用这四个纸板拼成图2图形，验证了完全平方公式.
小明说他还能用这四个纸板通过拼接、遮盖，组成新的图形，来验证平方差公式.他说的是否有道理,如有道理，请你帮他画出拼成的图形.如没有道理、不能验证，请说明理由.
b
a b a a
a
a
a b b b a b b b 222图1 (a+b)=a+2ab+b
图2
291x，96、若多项式添上一项后为完全平方式，则添上的一项是 。 97、如图是小杰新家的平面图。根据图中数据
y(单位:m)解答下列问题:
1(1)用含的代数式表示地面的总面积; 3
卧室2书房3m(2)如果卧室的面积比书房的面积大7，
32m书房的面积比阳台的面积大1，在购买 x卫生阳台客厅时阳台的面积算一半，每平方米的价格为 2厨房1.2万元，小杰家购买这套房子共花多少钱。
18
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
98、如下图，A、B、C是三种不同型号的卡片，其中A型是边长为a的正方形，B型是边长为b、宽为a的长方形，C型是边长为b的正方形。
(1)试选用这些纸片(每种纸片至少用一次)拼成一个矩形，使拼出的矩形面积为22，并标出此矩形的长和宽 aabb，，32
(2)你能利用第(1)小题拼出的矩形面积说明某个多项式乘法的计算规律吗,
C b b B
a A
a a b
ba99(如图:边长为～的两个正方形～边保持平行～如果从大正方
形中剪去小正方形～剩下的图形可以分割成4个大小相等的梯形。请
22b你用～表示阴影部分的面积～并由此说明aababab,,，,()()
的几何意义。
100(某公司生产甲、乙两种产品～一月份这两种产品的产值都是万a
元(为了调整产品结构～确定增加甲种产品的产值, 使每月的增长率
都为,同时减少乙种产品的产值, 每月减少的百分率也都是(求,1,二月份生产甲、xx
乙两种产品的总产值,,2,三月份生产甲、乙两种产品的总产值,用含字母的代数式ax、表示,(
101. 公园长椅上坐着两位白发苍苍的老人，旁边站着两个青年，他们在交谈(老人说:“我们俩的年龄的平方差是195，„„”不等老人说完，青年人就说:“真巧，我们俩年龄的平方差也是195”(这时一对中年夫妇也凑过来说:“真是巧极了，我们俩年龄的平方差也是195”(现在请你想想这三对人的年龄各是多少岁?请写出解题过程。
102. 小明用的练习本可在甲、乙两个商店内买到，•已知两个商店的标价都是每个练习本1元，但甲商店的优惠条件是:购买10•本以上，•从第11•本开始按标价的70%卖;乙商店的优惠条件是:从第1本开始就按标价的85%卖(
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
(1)设小明买x(x,10)个练习本，分别求出他在甲乙两商店的消费(用x的代数式表示) (2)小明要买20个练习本，到哪个商店购买较省钱,
(3)小明现有24元钱，最多可买多少个本子,
103.观察下列式子:
22 ;; 2，4，1,9,36，8，1,49,7
2( 14，16，1,225,15
你得出了什么结论,请用n(n是正整数)来表示，并说明这个结论的成立。
104.有若干张如图，所示的正方形和长方形卡片，表中所列四种
方案
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能拼成边长为的，，a，b正方形的是( )
卡片
数量(张) (A) (B) (C)
方案
A 1 1 2
B 1 1 1
C 1 2 1
D 2 1 1
a b a A B C
a b C
2105. 多项式9x + 1加上一个单项式后，使它能成为一个整式的完全平方，那么加上的单项
式可以是_________________________
231819202,2,2,,,,,2,2，2106. 计算:
223344552222已知:2，,2，，3，,3，，4，,4，，5，,5，，
338815152424„„则可用字母n表示期一般规律:___________________________________.
bb2„，若10，,10，符合前面式子的规律，则a，b,
aa
107.用火柴棒按如图所示摆图形，按照这样的规律摆下去，第4个图形需要__________根
nnn火柴棒，第个(为正整数)图形需要__________根火柴棒(用含的代数式表示); attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
108、观察下列等式:
222，，，„„ ，则第个n，，，，，，1，1，2,1，2，12，2，2,2，2，23，3，2,3，2，3
等式可以表示为
109、现有两个多项式，它们同时满足下述条件:(1)多项式中均含有字母x;(2)每个多项式中各项的系数绝对值均是1;(3)这两个多项式的和是一个四次单项式，这两个多项式的差是一个二次单项式，则这两个多项式分别是____________________. 110、已知，如图。，正方形ABCD与正方形BEFG，点C在边BG上，若正方形ABCD的边长为a，正方形BEFG的边长为b
,DCG、,DCE、,GCE(1).用a、b表示的面积(3分)
(2求?DEG的面积。(3分)
xy111、(1)若(4分) 2x，5y,3,0，求4,32的值
223观察下列等式 (x,1)(x，1),x,1;(x,1)(x，x，1),x,1;
324;„„ (x,1)(x，x，x，1),x,1
nn,1n,22(1)请你猜想一般规律: ;(2分) (x,1)(x，x，x，,,,x，x，1),
322008x，x，x，1,0x(2)已知，求的值. (2分)
232x，x,1,0x，2x，3112.设，求的值。
attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG ... Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined
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