2016届河北省衡水中学高三下学期二模考试数学(理)试题.pdf

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2016届河北省衡水中学高三下学期二模考试数学(理)试题.pdf

2016 届河北省衡水中学高三下学期二模考试数学（理）试题理数试卷第卷（共 60 分）一、选择题：本大题共 12 个小题,每小题 5 分,共 60 分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.已知集合01xxA，1,0,1,2B，则BACR)(等于（）A1,2B2C1,0,1D1,02.已知复数iiz12，z为 z 的共轭复数，则zz的值为（）A-2 B0 C2D2 3.执行如图所示的程序框图，若输入n 的值为 8，则输出s 的值为（）A 4 B8 C10 D12 4.若实数数列：1，a，81 成等比数列，则圆锥曲线122ayx的离心率是（）A10或322B3或36C322D31或 10 5.在平面 xOy 内，向图形422yx内投点，则点落在由不等式组0,0yxyx所确定的平面区域的概率为（）A43B52C21D416.在 ABC 中，角 A，B，C 所对边的长分别为a,b,c，若 acosB+bcosA=csinC，且bcacb3222，则角 B 的值为（）A6B3C2D327.已知,052,04,02yxyxyx则112xyz的取值范围为（）A27,43B47,83C47,43D27,838.已知某几何体的三视图如图所示，则该几何体的体积等于（）A3160B160 C23264D60 9.如图，21,FF为双曲线C 的左右焦点，且221FF，若双曲线C 右支上存在点P，使得21PFPF，设直线2PF与 y 轴交于点 A，且1APF的内切圆半径为21，则双曲线的离心率为（）A 2 B4 C3D3210.在平行四边形ABCD 中，AC 与 BD 交于点 O，E 是线段 OD 的中点，AE 的延长线与CD 交于点 F，若bBDaAC,，则AF（）Aba2141Bba4121Cba3132Dba322111.函数3sin)(xxxf.数列na的前 n 项和qnpnSn2（p,q 为常数，且p0），)2,2(na，若0)(10af，则)()()()()(1918321afafafafaf取值（）文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2文档编码:CM10C9C7E7X10 HZ3G3N5V6Z9 ZZ2Y4V9Q4Z2A恒为正数B恒为负数C恒为零D可正可负12.函数)(xf是定义在),0(内的单调函数，1ln)(),0(exxffx，给出下面四个命题：不等式0)(xf恒成立；函数)(xf存在唯一零点0 x，且)1,0(0 x；方程xxf)(有且仅有一个根；方程1)()(exfxf（其中 e 为自然对数的底数）有唯一解0 x，且)2,1(0 x.其中正确的命题个数为（）A 1 个B2 个C3 个D4 个第卷（共 90 分）二、填空题（每题5分，满分 20 分，将答案填在答题纸上）13.若将函数6)(xxf表示为662210)1()1()1()(xaxaxaaxf，其中621,aaa为实数，则3a等于 _.14.已知三棱锥D-ABC 的四个顶点都在球O 的表面上，若 AB=3，AC=4，AB AC，DB 平面 ABC，DB=12，则球 O 的半径为 _.15.已知点 A 是抛物线241xy的对称轴与准线的交点，点F 为该抛物线的焦点，点P 在抛物线上且满足PAmPF，当 m 取最小值时，点P 恰好在以 A，F 为焦点的双曲线上，则该双曲线的离心率为_.16.已知函数,0),1ln(,0,121)(2xxxxxf若函数kxxfxF)()(有且只有两个零点，则k 的取值范围为_.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12 分）已知函数21cos)cossin3()(xxxxf（其中0），若)(xf的一个条对称轴离最近的对称中心的距离为4.（1）求)(xfy的单调递增区间；（2）在 ABC 中，角 A，B，C 的对边分别是a,b,c，满足(2b-a)cosC=ccosA，且 f(B)恰是 f(x)的最大值，试判断 ABC 的形状.18.（本小题满分12 分）文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4如图，棱柱1111DCBAABCD的所有棱长都为2，ABC=60，平面CCAA11平面 ABCD，601ACA.（1）证明：1AABD；（2）求锐二面角CAAD1的平面角的余弦值；（3）在直线1CC上是否存在点P，使得 BP平面11CDA，若存在，求出P的位置.19.（本小题满分12 分）某大学的一个社会实践调查小组，在对大学生的良好“光盘习惯”的调查中，随机发放了120 份问卷.对收回的 100 份有效问卷进行统计，得到如下22 列联表：做不到光盘能做到光盘合计男45 10 55 女30 15 45 合计75 25 100（1）现按女生是否能抽到光盘进行分层，从45 份女生中问卷中抽取了9 份问卷，若从这9 份问卷中随机抽取 4 份，并记其中能做到光盘的问卷的份数为，试求随机变量的分布列和数学期望；（2）若在犯错误的概率不超过P 的前提下认为良好“光盘习惯”与性别有关，那么根据临界值表最精确的 P 的值应为多少?请说明理由.附：独立性检验统计量)()()()(22dbcadcbabcadnK，其中 n=a+b+c+d.独立性检验临界表：20.（本小题满分12 分）已知椭圆 C 的中点在原点，焦点在 x 轴上，离心率等于21，它的一个顶点恰好是抛物线yx382的焦点.（1）求抛物线C 的标准方程；文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4（2）直线 x=-2 与椭圆交于P，Q 两点，A，B 是椭圆上位于直线x=-2 两侧的动点.若直线 AB 的斜率为21，求四边形APBQ 面积的最大值；当动点 A，B 满足 APQ=BPQ 时，试问直线AB 的斜率是否为定值，请说明理由.21.（本小题满分12 分）设函数)1ln()(,)4(31)(23xaxgxmmxxf，其中 a0.（1）若函数y=g(x)图象恒过定点T，且点 T 关于直线23x的对称点在y=f(x)的图象上，求m 的值；（2）当 a=8 时，设)1()()(xgxfxF，讨论 F(x)的单调性；（3）在（1）的条件下，设,2),(,2),()(xxgxxfxG曲线 y=G(x)上是否存在两点P，Q，使 OPQ（O 为原点）是以 O 为直角顶点的直角三角形，且斜边的中点在y 轴上？如果存在，求a 的取值范围；如图不存在，说明理由.请考生在 22、23、24三题中任选一题作答，如果多做，则按所做的第一题记分.-22.（本小题满分10 分）选修4-1：几何证明选讲如图，已知圆O 是 ABC 的外接圆，AB=BC，AD 是 BC 边上的高，AE 是圆 O 的直径.过点 C 作圆 O 的切线交 BA 的延长线于点F.（1）求证：AEADBCAC；（2）若 AF=2，22CF，求 AE 的长.23.（本小题满分10 分）选修4-4：坐标系与参数方程在平面直角坐标系xOy 中，直线l过点 P（2，6），且倾斜角为43，在极坐标系（与平面直角坐标系zOy取相同的长度，以原点O 为极点，x 轴的非负半轴为极轴）中，曲线C 的极坐标方程为)24cos()24sin(20.（1）求直线l的参数方程与曲线C 的直角坐标方程；（2）设曲线C 与直线l交于点 A，B，求PBPA.24.（本小题满分10 分）选修4-5：不等式选讲文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4已知函数3212)(xxxf.（1）求不等式6)(xf的解集；（2）若关于x 的不等式2)3(log)(22aaxf恒成立，求实数a 的取值范围.参考答案及解析一、选择题1.A 2.D 3.B 4.A 5.D 6.B 7.A 8.A 9.A 10.C 11.B 12.A 二、填空题13.-20 14.2315.1216.)1,21(三、解答题17.解：（1）21coscossin3)(2xxxxf)1cos2(212sin232xx)62sin(2cos212sin23xxx.文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4所以函数)(xf的单调递增区间为)(3,6Zkkk.（2）因为(2b-a)cosC=ccosA，由正弦定理，得(2sinB-sinA)cosC=sinCcosA，即 2sinBcos=sinAcosC+sinCcosA=sin(A+C)=sinB，因为 sinB 0，所以21cosC，所以3C.所以67626,3420,320BBB.根据正弦函数的图象，可以看出f(x)的最大值为f(B)=1，此时262B，即3C，所以3A，所以 ABC 为等边三角形.18.解：连接BD 交 AC 于点 O，则 BD AC，连接OA1.在OAA1中，60,1,211AOAAOAA，360cos2122121AOAAAOAAOA.21221AAAOAA，OA1AO.平面CCAA11平面 ABCD，OA1底面 ABCD.分别以 OB，OC，1OA所在直线为x 轴，y 轴，z 轴建立如图所示的空间直角坐标系，则)3,0,0(),0,0,3(),0,1,0(),0,0,3(),0,1,0(1ADCBA.文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L3T4文档编码:CZ10F4W7J10H3 HT10W6X10V10G10 ZH4M8K1L

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