2020年北京市高考适应性测试试题

数学第1页（共6页）2020年北京市高考适应性测试数学本 试卷 云南省高中会考试卷哪里下载南京英语小升初试卷下载电路下试卷下载上海试卷下载口算试卷下载 共6页，150分。考试时长120分钟。考生务必将 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 答在答题卡上，在试卷上作答无效。考试结束后，将本试卷和答题卡一并交回。第一部分（选择题共40分）一、选择题共10题，每题4分，共40分。在每题列出的四个选项中，选出符合题目要求的一项。（1）在复平面内，复数i(i+2)对应的点的坐标为（A）(1,2)（B）(1,2)−（C）(2,1)（D）(2,1)−（2）已知集合{2}Axx=<，{1,0,1,2,3}B=−，则AB=∩（A）{0,1}（B）{0,1,2}（C）{1,0,1}−（D）{1,0,1,2}−（3）下列函数中，在区间(0,)+∞上为减函数的是（A）1yx=+（B）21yx=−（C）1()2xy=（D）2logyx=（4）函数2()56fxxx=−+的定义域为（A）{|2xx≤或3}x≥（B）{|3xx−≤或2}x−≥（C）{|23}xx≤≤（D）{|32}xx−−≤≤（5）圆心为(2,1)且和x轴相切的圆的方程是（A）22(2)(1)1xy−+−=（B）22(2)(1)1xy+++=（C）22(2)(1)5xy−+−=（D）22(2)(1)5xy+++=（6）要得到函数πsin(2)3yx=−的图象，只需要将函数sin2yx=的图象（A）向左平移π3个单位（B）向左平移π6个单位（C）向右平移π3个单位（D）向右平移π6个单位数学第2页（共6页）122正（主）视图侧（左）视图俯视图（7）某四棱锥的三视图如图所示，则该四棱锥的体积为（A）23（B）43（C）2（D）4（8）已知点(2,0)A，(0,2)B−．若点P在函数yx=的图象上，则使得PAB△的面积为2的点P的个数为（A）1（B）2（C）3（D）4（9）设{}na是等差数列，且公差不为零，其前n项和为nS．则“*n∀∈N，1nnSS+>”是“{}na为递增数列”的（A）充分而不必要条件（B）必要而不充分条件（C）充分必要条件（D）既不充分也不必要条件（10）学业水平测试成绩按照考生原始成绩从高到低分为A，B，C，D，E五个等级．某班共有36名学生且全部选考物理、化学两科，这两科的学业水平测试成绩如图所示．该班学生中，这两科等级均为A的学生有5人，这两科中仅有一科等级为A的学生，其另外一科等级为B．则该班（A）物理化学等级都是B的学生至多有12人（B）物理化学等级都是B的学生至少有5人（C）这两科只有一科等级为B且最高等级为B的学生至多有18人（D）这两科只有一科等级为B且最高等级为B的学生至少有1人等级科目ABCDE物理1016910化学819720数学第3页（共6页）第二部分（非选择题共110分）二、填空题共5题，每题5分，共25分。（11）已知双曲线2221xya−=(0)a>的一条渐近线方程为0xy+=，则a=．（12）已知向量(1,)m=a，(2,1)=b，且⊥ab，则m=．（13）抛物线24yx=上到其焦点的距离为1的点的个数为．（14）在ABC△中，4a=，5b=，6c=，则cosA=，ABC△的面积为．（15）函数()fx的定义域为[1,1)−，其图象如图所示．函数()gx是定义域为R的奇函数，满足(2)()0gxgx−+=，且当(0,1)x∈时，()()gxfx=．给出下列三个结论：①；②函数()gx在(1,5)−内有且仅有3个零点；③不等式()0fx−<的解集为{|10}xx−<<．其中，正确结论的序号是．注：本题给出的结论中，有多个符合题目要求。全部选对得5分，不选或有错选得分，其他得3分。(0)0g=0yxO12114−1−数学第4页（共6页）三、解答题共6题，共85分。解答应写出文字说明，演算步骤或证明过程。（16）（本小题14分）如图，在四棱锥PABCD−中，2PDAD=，PDDA⊥，PDDC⊥，底面ABCD为正方形，,MN分别为AD，PD的中点．（Ⅰ）求证：PA∥平面MNC；（Ⅱ）求直线PB与平面MNC所成角的正弦值．（17）（本小题14分）已知{}na是公比为q的无穷等比数列，其前n项和为nS，满足312a=，．是否存在正整数k，使得2020kS>？若存在，求k的最小值；若不存在，说明理由．从①2q=，②12q=，③2q=−这三个条件中任选一个，补充在上面问题中并作答．注：如果选择多个条件分别解答，按第一个解答计分。PABCNMD数学第5页（共6页）（18）（本小题14分）为贯彻十九大 报告 软件系统测试报告下载sgs报告如何下载关于路面塌陷情况报告535n,sgs报告怎么下载竣工报告下载 中“要提供更多优质生态产品以满足人民日益增长的优美生态环境需要”的要求，某生物小组通过抽样检测植物高度的方法来监测培育的某种植物的生长情况．现分别从A,B,C三块试验田中各随机抽取7株植物测量高度，数据如下 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 （单位：厘米）：假设所有植株的生长情况相互独立．从A,B,C三组各随机选1株，A组选出的植株记为甲，B组选出的植株记为乙，C组选出的植株记为丙．（Ⅰ）求丙的高度小于15厘米的概率； （Ⅱ）求甲的高度大于乙的高度的概率； （Ⅲ）表格中所有数据的平均数记为0μ．从A,B,C三块试验田中分别再随机抽取1株该种植物，它们的高度依次是14,16,15（单位：厘米）．这3个新数据与表格中的所有数据构成的新样本的平均数记为1μ，试比较0μ和1μ的大小．（结论不要求证明） （19）（本小题15分）已知函数21()e(1)e2xafxxx=−−，0a<．（Ⅰ）求曲线()yfx=在点(0,(0))f处的切线方程；（Ⅱ）求函数()fx的极小值；（Ⅲ）求函数()fx的零点个数．组        组        组        A10111213141516B12131415161718C13141516171819数学第6页（共6页）（20）（本小题14分）已知椭圆C的短轴的两个端点分别为(0,1)A，(0,1)B−，焦距为23．（Ⅰ）求椭圆C的方程；（Ⅱ）已知直线ym=与椭圆C有两个不同的交点,MN，设D为直线AN上一点，且直线BD，BM的斜率的积为14−．证明：点D在x轴上．（21）（本小题14分）设数阵111202122aaAaa⎛⎞=⎜⎟⎝⎠，其中11122122,,,{1,2,,6}aaaa∈"．设12{,,,}{1,2,,6}lSeee=⊆""，其中12leee<<<"，l∈N*且6l≤．定义变换kϕ为“对于数阵的每一行，若其中有k或k−，则将这一行中每个数都乘以1−；若其中没有k且没有k−，则这一行中所有数均保持不变”（12,,,lkeee="）．0()SAϕ表示“将0A经过1eϕ变换得到1A，再将1A经过2eϕ变换得到2A，…，以此类推，最后将1lA−经过leϕ变换得到lA”，记数阵lA中四个数的和为0()STA．（Ⅰ）若01215A⎛⎞=⎜⎟⎝⎠，写出0A经过2ϕ变换后得到的数阵1A；（Ⅱ）若01336A⎛⎞=⎜⎟⎝⎠，{1,3}S=，求0()STA的值；（Ⅲ）对任意确定的一个数阵0A，证明：0()STA的所有可能取值的和不超过4−．（考生务必将答案答在答题卡上，在试卷上作答无效）<</ASCII85EncodePagesfalse/AllowTransparencyfalse/AutoPositionEPSFilestrue/AutoRotatePages/None/Binding/Left/CalGrayProfile(DotGain20%)/CalRGBProfile(sRGBIEC61966-2.1)/CalCMYKProfile(U.S.WebCoated\050SWOP\051v2)/sRGBProfile(sRGBIEC61966-2.1)/CannotEmbedFontPolicy/Error/CompatibilityLevel1.4/CompressObjects/Tags/CompressPagestrue/ConvertImagesToIndexedtrue/PassThroughJPEGImagestrue/CreateJDFFilefalse/CreateJobTicketfalse/DefaultRenderingIntent/Default/DetectBlendstrue/DetectCurves0.0000/ColorConversionStrategy/CMYK/DoThumbnailsfalse/EmbedAllFontstrue/EmbedOpenTypefalse/ParseICCProfilesInCommentstrue/EmbedJobOptionstrue/DSCReportingLevel0/EmitDSCWarningsfalse/EndPage-1/ImageMemory1048576/LockDistillerParamsfalse/MaxSubsetPct100/Optimizetrue/OPM1/ParseDSCCommentstrue/ParseDSCCommentsForDocInfotrue/PreserveCopyPagetrue/PreserveDICMYKValuestrue/PreserveEPSInfotrue/PreserveFlatnesstrue/PreserveHalftoneInfofalse/PreserveOPICommentstrue/PreserveOverprintSettingstrue/StartPage1/SubsetFontstrue/TransferFunctionInfo/Apply/UCRandBGInfo/Preserve/UseProloguefalse/ColorSettingsFile()/AlwaysEmbed[true]/NeverEmbed[true]/AntiAliasColorImagesfalse/CropColorImagestrue/ColorImageMinResolution300/ColorImageMinResolutionPolicy/OK/DownsampleColorImagestrue/ColorImageDownsampleType/Bicubic/ColorImageResolution2400/ColorImageDepth-1/ColorImageMinDownsampleDepth1/ColorImageDownsampleThreshold1.00000/EncodeColorImagestrue/ColorImageFilter/DCTEncode/AutoFilterColorImagestrue/ColorImageAutoFilterStrategy/JPEG/ColorACSImageDict<</QFactor0.15/HSamples[1111]/VSamples[1111]>>/ColorImageDict<</QFactor0.15/HSamples[1111]/VSamples[1111]>>/JPEG2000ColorACSImageDict<</TileWidth256/TileHeight256/Quality30>>/JPEG2000ColorImageDict<</TileWidth256/TileHeight256/Quality30>>/AntiAliasGrayImagesfalse/CropGrayImagestrue/GrayImageMinResolution300/GrayImageMinResolutionPolicy/OK/DownsampleGrayImagestrue/GrayImageDownsampleType/Bicubic/GrayImageResolution2400/GrayImageDepth-1/GrayImageMinDownsampleDepth2/GrayImageDownsampleThreshold1.00000/EncodeGrayImagestrue/GrayImageFilter/DCTEncode/AutoFilterGrayImagestrue/GrayImageAutoFilterStrategy/JPEG/GrayACSImageDict<</QFactor0.15/HSamples[1111]/VSamples[1111]>>/GrayImageDict<</QFactor0.15/HSamples[1111]/VSamples[1111]>>/JPEG2000GrayACSImageDict<</TileWidth256/TileHeight256/Quality30>>/JPEG2000GrayImageDict<</TileWidth256/TileHeight256/Quality30>>/AntiAliasMonoImagesfalse/CropMonoImagestrue/MonoImageMinResolution1200/MonoImageMinResolutionPolicy/OK/DownsampleMonoImagestrue/MonoImageDownsampleType/Bicubic/MonoImageResolution2400/MonoImageDepth-1/MonoImageDownsampleThreshold1.00000/EncodeMonoImagestrue/MonoImageFilter/CCITTFaxEncode/MonoImageDict<</K-1>>/AllowPSXObjectsfalse/CheckCompliance[/None]/PDFX1aCheckfalse/PDFX3Checkfalse/PDFXCompliantPDFOnlyfalse/PDFXNoTrimBoxErrortrue/PDFXTrimBoxToMediaBoxOffset[0.000000.000000.000000.00000]/PDFXSetBleedBoxToMediaBoxtrue/PDFXBleedBoxToTrimBoxOffset[0.000000.000000.000000.00000]/PDFXOutputIntentProfile()/PDFXOutputConditionIdentifier()/PDFXOutputCondition()/PDFXRegistryName()/PDFXTrapped/False/Description<</CHT<FEFF4f7f752890194e9b8a2d7f6e5efa7acb7684002000410064006f006200650020005000440046002065874ef69069752865bc9ad854c18cea76845370524d5370523786557406300260a853ef4ee54f7f75280020004100630072006f0062006100740020548c002000410064006f00620065002000520065006100640065007200200035002e003000204ee553ca66f49ad87248672c4f86958b555f5df25efa7acb76840020005000440046002065874ef63002>/DAN<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