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2010年普通高等学校招生全国统一考试一.选择题1复数HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4C12-13HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4D12+13HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT42记HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4那么HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4A.HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4B.-HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4C.HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4D.-HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT43若变量HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4满足约束条件HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4则HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的最大值为A4B3C2D1
(4)已知各项均为正数的等比数列{HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4},HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4=5,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4=10,则HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4=AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4B7C6DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT45HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的展开式中x的系数是A-4B-2C2D46某校开设A类选修课3门,B类选择课4门,一位同学从__选3门,若要求两类课程中各至少选一门,则不同的选法共有A30种B35种C42种D48种
(7)正方体ABCD-HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4中,BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4与平面ACHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4所成角的余弦值为AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4CHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4
(8)设a=HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT42b=In2c=HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4则AabcBbcaCcabDcba9已知HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4、HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4为双曲线C:HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的左、右焦点,点p在C上,∠HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4pHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4=HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,则P到x轴的距离为AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4CHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4
(10)已知函数Fx=|lgx|若0ab且fa=fb则a+2b的取值范围是AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4CHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4
(11)已知圆O的半径为1,PA、PB为该圆的两条切线,A、B为俩切点,那么HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的最小值为AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4CHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4
(12)已知在半径为2的球面上有A、B、C、D四点,若AB=CD=2则四面体ABCD的体积的最大值为AHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4BHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4CHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4二.填空题本大题共4小题,每小题5分,共20分.把答案填在题中横线上.注意在试题卷上作答无效13不等式HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的解集是.14已知HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4为第三象限的角,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4则HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4.15直线HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4与曲线HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4有四个交点,则HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的取值范围是.16已知HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4是椭圆HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的一个焦点,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4是短轴的一个端点,线段HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的延长线交HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4于点HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4且HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,则HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的离心率为.三.解答题本大题共6小题,共70分.解答应写出文字说明,证明过程或演算步骤.17本小题满分10分注意在试题卷上作答无效已知HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的内角HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4及其对边HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4满足HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,求内角HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4.18本小题满分12分(注意在试题卷上作答无效投到某__的稿件,先由两位初审专家进行评审.若能通过两位初审专家的评审,则予以录用;若两位初审专家都未予通过,则不予录用;若恰能通过一位初审专家的评审,则再由第三位专家进行复审,若能通过复审专家的评审,则予以录用,否则不予录用.设稿件能通过各初审专家评审的概率均为0.5,复审的稿件能通过评审的概率为0.3.各专家__评审.I求投到该__的1篇稿件被录用的概率;II记HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4表示投到该__的4篇稿件中被录用的篇数,求HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的分布列及期望.
(19)(本小题满分12分)(注意在试题卷上作答无效)如图,四棱锥S-ABCD中,SDHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4底面ABCD,AB//DC,ADHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4DC,AB=AD=1,DC=SD=2,E为棱__上的一点,平面EDCHYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4平面__C.(Ⅰ)证明SE=2EB;(Ⅱ)求二面角A-DE-C的大小.20本小题满分12分(注意在试题卷上作答无效)已知函数HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4.(Ⅰ)若HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,求HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的取值范围;(Ⅱ)证明HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4.
(21)本小题满分12分(注意在试题卷上作答无效)已知抛物线HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的焦点为F,过点HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的直线HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4与HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4相交于HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4、HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4两点,点A关于HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4轴的对称点为D.(Ⅰ)证明点F在直线BD上;(Ⅱ)设HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,求HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的内切圆M的方程.
(22)本小题满分12分(注意在试题卷上作答无效)已知数列HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4中,HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT
4.(Ⅰ)设HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4,求数列HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的通项公式;(Ⅱ)求使不等式HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4成立的HYPERLINKhttp://www.21cnjy.comEMBEDEquation.DSMT4的取值范围.。