高一上学期期末数学试卷3

高一上学期期末数学试卷31、选择题(本大题共10小题，每小题3分，共30分)[]1．角image153.wmf的终边过点P（4，－3），则image2.wmf的值为A．4B．－3C．image3.wmfD．image4.wmf[]2．函数y=cos2x的最小正周期是A．image5.wmfB．image6.wmfC．image7.wmfD．image8.wmf[]3．给出下面四个命题：①；image9.wmf；②image10.wmf；③image11.wmf；④image12.wmf。其中正确的个数为A．1个B．2个C．3个D．4个[]4．将－300o化为弧度为A．－image13.wmfB．－image14.wmfC．－image15.wmfD．－image16.wmf[]5．向量image17.wmf且image18.wmf，则k的值为A．2B．image19.wmfC．－2D．－image20.wmf[]6．image21.wmf的值为A．image22.wmfB．1C．－image23.wmfD．image24.wmf[]7．函数image25.wmf的图象是把y=3cos3x的图象平移而得，平移方法是A．向左平移image26.wmf个单位长度B．向左平移image27.wmf个单位长度C．向右平移image28.wmf个单位长度D．向右平移image29.wmf个单位长度；[]8．若image30.wmf是周期为2的奇函数，则f(x)可以是A．image31.wmfB．image32.wmfC．sinπxD．cosπx[]9．已知|image33.wmf|=2,|image34.wmf|=1，image35.wmf，则向量image36.wmf在image37.wmf方向上的投影是A．image38.wmfB．image39.wmfC．image40.wmfD．1[]10．已知非零实数a，b满足关系式image41.wmf，则image42.wmf的值是A．image43.wmfB．image44.wmfC．image45.wmfD．image46.wmf二、填空题(本大题共6小题，每小题3分，共18分)11．函数image47.wmf的定义域为　　　　　　　　　　　　　。12．设image48.wmf=（1，3），image49.wmf=（x，1），若image50.wmf，则x的值为______________。13．方程lgx=sinx的解的个数为__________。14．某人在静水中游泳的速度为image51.wmf，河水自西向东流速为image52.wmf，若此人朝正南方向游去，则他的实际前进速度为image53.wmf；15．函数image54.wmf的值域是　。16．已知f(n)=image55.wmf，n∈Z，则f(1)+f(2)+f(3)+……+f(2008)=____________________。三、解答题(本大题共5小题，共52分)17．（本小题8分）已知image56.wmf＜α＜β＜image57.wmf，cos（α－β）=image58.wmf，sin（α+β）=－image59.wmf，求sin2α的值．18．（本小题10分）已知函数y=Asin(ωx+φ)(A>0,ω>0，|φ|<π)的一段图象(如图)所示.image1.wmf（1）求函数的解析式；（2）求这个函数的单调增区间。19．（本小题10分）已知image60.wmf,（1）求image61.wmf的值；（2）求image62.wmf的夹角image63.wmf；（3）求image64.wmf的值；image149.wmf20．（本小题10分）如图所示，等腰梯形ABCD的两底分别为AD=2，BC=1，∠BAD=45°，直线MN⊥AD交于M，交折线ABCD于N，记AM=x，试将梯形ABCD位于直线MN左侧面积y表示为x的函数，并写出函数的定义域。21．（本小题14分）设image65.wmf，image66.wmf，记image67.wmf．（1）写出函数image68.wmf的最小正周期；（2）试用“五点法”画出函数image69.wmf在区间image70.wmf的简图，并指出该函数的图象可由image71.wmf的图象经过怎样的平移和伸缩变换得到？image150.wmf（3）若image72.wmf时，函数image73.wmf的最小值为2，试求出函数image74.wmf的最大值并指出image75.wmf取何值时，函数image76.wmf取得最大值。参考 答案 八年级地理上册填图题岩土工程勘察试题省略号的作用及举例应急救援安全知识车间5s试题及答案 1、选择题(本大题共10小题，每小题3分，共30分) 1 2 3 4 5 6 7 8 9 10 C A B B D D B A D C2、填空题(本大题共4小题，每小题4分，共16分)11、_{x|x≠2kπ+π，k∈Z}___12、___________-3_____________13、__________3____________14、____________2_____________15、[-1，3]___16、____________0_____________三、解答题(本大题共4小题，共54分)17、（本小题8分）解：由分析可知2α=（α－β）+（α+β）．………………………………1分由于image77.wmf＜α＜β＜image78.wmf，可得到π＜α+β＜image79.wmf，image80.wmf＜α－β＜0．∴cos（α+β）=－image81.wmf，sin（α－β）=image82.wmf．………………………………4分∴sin2α=sin［（α+β）+（α－β）］=sin（α+β）cos（α－β）+cos（α+β）sin（α－β）………………………………1分=（－image83.wmf）·image84.wmf+（－image85.wmf）·image86.wmf=－image87.wmf．………………………………………………………………………………2分18、（本小题10分）image151.wmf解：（1）由图可知A=3，……………………………………………1分T=image88.wmf=π，又image89.wmf，故ω=2…………………………1分所以y=3sin(2x+φ)，把image90.wmf代入得：image91.wmf故image92.wmf，∴image93.wmf，k∈Z……………………2分∵|φ|<π，故k=1，image94.wmf，……………………………………1分∴image95.wmf………………………………………………1分（2）由题知image96.wmf，…………………………1分解得：image97.wmf…………………………………………2分故这个函数的单调增区间为image98.wmf，k∈Z。………………1分19、（本小题10分）解：（1）image99.wmf……………………………………1分又由image100.wmf得image101.wmf………………………………………………………………1分代入上式得image102.wmf，∴image103.wmf…………………………………………………2分（2）image104.wmf，……………………………………………………………2分故image105.wmf……………………………………………………………………………………………1分（3）image106.wmf…………………………………………2分故image107.wmf………………………………………………………………………………………1分20、（本小题10分）解：由四边形ABCD是等腰梯形知GH=1，AH=GD=image108.wmf，BH=CG=1当0<x≤image109.wmf时，在△AMN中，∠MAN=45°，故MN=AM=x，∴y=image110.wmf……………………2分当image111.wmf时，image112.wmf……………………………………………………2分当image113.wmf时，image114.wmf………………………………2分故y与x的函数关系式为image115.wmf……………………………………2分定义域为image116.wmf………………………………………………………………………………2分21、（本小题14分）（1）解：image117.wmf…………………………………………1分image118.wmf………………………………………………2分∴image119.wmf………………………………………………………………………………1分 (2)x image120.wmf image121.wmf image122.wmf image123.wmf image124.wmf image125.wmf 0 image126.wmf π image127.wmf 2π sin(image128.wmf) 0 1 0 -1 0 y image129.wmf image130.wmf image131.wmf image132.wmf image133.wmfimage152.wmf………………………………………………………………………………………………3分y=sinx向左平移image134.wmf得到image135.wmf，再保持纵坐标不变，横坐标缩短为原为的image136.wmf变为image137.wmf最后再向上平移image138.wmf个单位得到image139.wmf……………………2分（3）image140.wmf，∵image141.wmf，∴image142.wmf∴image143.wmf，∴image144.wmf，…………………………………………2分∴m=2，…………………………………………………………………………………………1分∴image145.wmf…………………………………………………………………………1分当image146.wmf即image147.wmf时g(x)最大，最大值为image148.wmf。…………………………………………1分ABCDMNGH�EMBEDEquation.DSMT4����EMBEDEquation.DSMT4���_1259498295.unknown_1259645762.unknown_1259647038.unknown_1259647481.unknown_1259650615.unknown_1259650791.unknown_1260936483.unknown_1260936510.unknown_1260936650.unknown_1260936771.unknown_1260936772.unknown_1260936614.unknown_1260936497.unknown_1259650903.unknown_1259650904.unknown_1259650902.unknown_1259650714.unknown_1259650745.unknown_1259650684.unknown_1259650490.unknown_1259650542.unknown_1259650570.unknown_1259650521.unknown_1259650406.unknown_1259650469.unknown_1259650393.unknown_1259647375.unknown_1259647432.unknown_1259647479.unknown_1259647480.unknown_1259647478.unknown_1259647394.unknown_1259647431.unknown_1259647383.unknown_1259647310.unknown_1259647353.unknown_1259647366.unknown_1259647336.unknown_1259647141.unknown_1259647270.unknown_1259647080.unknown_1259646327.unknown_1259646613.unknown_1259646785.unknown_1259646986.unknown_1259646731.unknown_1259646506.unknown_1259646593.unknown_1259646403.unknown_1259646134.unknown_1259646214.unknown_1259646291.unknown_1259646179.unknown_1259646080.unknown_1259646090.unknown_1259645972.unknown_1259516301.unknown_1259645370.unknown_1259645584.unknown_1259645646.unknown_1259645695.unknown_1259645612.unknown_1259645437.unknown_1259645472.unknown_1259645390.unknown_1259644688.unknown_1259645265.unknown_1259645305.unknown_1259644848.unknown_1259641870.unknown_1259641902.unknown_1259641843.unknown_1259511791.unknown_1259512081.unknown_1259512161.unknown_1259514482.unknown_1259512160.unknown_1259512009.unknown_1259512033.unknown_1259511792.unknown_1259499652.unknown_1259499688.unknown_1259511706.unknown_1259499670.unknown_1259499566.unknown_1259499642.unknown_1259498496.unknown_1237205005.unknown_1259497371.unknown_1259497852.unknown_1259498266.unknown_1259498281.unknown_1259498288.unknown_1259498274.unknown_1259497878.unknown_1259498223.unknown_1259497864.unknown_1259497436.unknown_1259497802.unknown_1259497825.unknown_1259497778.unknown_1259497412.unknown_1259497431.unknown_1259497376.unknown_1244009069.unknown_1244009075.unknown_1259497346.unknown_1259497362.unknown_1244009116.unknown_1244009073.unknown_1244009074.unknown_1244009072.unknown_1237265748.unknown_1244009067.unknown_1244009068.unknown_1244009066.unknown_1237205678.unknown_1237205686.unknown_1237205644.unknown_1229629866.unknown_1236956748.unknown_1236960369.unknown_1236960482.unknown_1237204807.unknown_1236960370.unknown_1236960241.unknown_1236960276.unknown_1236956882.unknown_1229630141.unknown_1229803411.unknown_1236956715.unknown_1229803396.unknown_1229630039.unknown_1229630102.unknown_1229629955.unknown_1182013063.unknown_1182058147.unknown_1182058179.unknown_1182058189.unknown_1182058161.unknown_1182058109.unknown_1182058129.unknown_1182013064.unknown_1071331286.unknown_1181916652.unknown_1181916653.unknown_1181916651.unknown_1071330925.unknown_1071331285.unknown_1071330924.unknown