2013年广东高考理科数学试题及答案.pdf

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1、20XX 年普通高等学校招生全国统一考试（广东卷）数学（理科）本试卷共4 页，21 题，满分150 分。考试用时120 分钟。注意事项：1答卷前，考生务必用黑色字迹的钢笔或签字笔将自己的姓名和考生号、考场号、座位号填写在答题卡上。用2B 铅笔将试卷类型（B）填涂在答题卡相应位置上。将条形码横贴在答题卡右上角“条形码粘贴处”。2 选择题每小题选出答案后，用 2B 铅笔把答题卡对应题目选项的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。3非选择题必须用黑色字迹钢笔或签字笔作答，答案必须写在答题卡各题目指定区域相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案

2、；不准使用铅笔盒涂改液。不按以上要求作答的答案无效。4作答选做题时，请先用 2B 铅笔填涂选做题的题号对应的信息点，再作答。漏涂、错涂、多涂的，答案无效。5考生必须保持答题卡的整洁。考试结束后，将试卷和答题卡一并交回。参考公式：台体的体积公式12121()3VSSS Sh,其中1S，2S分别表示台体的上、下底面积，h表示台体的高一、选择题：本大题共8 小题，每小题5 分，满分 40 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设集合RxxxxM,022RxxxxN,022，则MN（）A0B2,0C0,2D2,0,22 定义域为R 的四个函数3xy，xy2，12xy，xysin2中，

3、奇函数的个数是（）A4 B3 C2 D1 3若复数z满足iiz42，则在复平面内，z对应的点的坐标是（）A)4,2(B)4,2(C)2,4(D)2,4(4已知离散型随机变量X 的分布列为X1 2 3 P53103101则X的数学期望)(XE（）A23B2 C25D3 图 2 开始输入 ni1,s1 inss+(i1)ii1 输出 s 结束是否正视图俯视图侧视图图 1 5某四棱台的三视图如图1 所示，则该四棱台的体积是（）A4 B314C316D 6 6设nm,是两条不同的直线，,是两个不同的平面，下列命题正确的是（）A若mn，则mnB若mn，则mnC若mnmn，则D若mmnn，则7已知中心在原

4、点的双曲线C的右焦点为)0,3(F离心率等于23，则C的方程是（）A15422yxB15422yxC15222yxD15222yx8设整数4n，集合nX,3,2,1令集合(,),Sx y z x y zXxyz yzx zxy且三条件恰有一个成立，若),(),(xwzzyx和都在 S中，则下列选项正确的是（）A.SwyxSwzy),(,),(B.SwyxSwzy),(,),(C.SwyxSwzy),(,),(D.SwyxSwzy),(,),(二、填空题：本大题共5 小题，考生作答4 小题，每小题5 分，满分 20 分（一）必做题（9-13 题）9不等式022xx的解集为10若曲线xkxyln在

5、点),1(k处的切线平行于x轴，则k11执行图 2 所示的流程框图，若输入n的值为 4，则输出s的值为文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编

6、码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2

7、 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5

8、ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文

9、档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1

10、L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P

11、5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1A B O C D E 图 3 12在等差数列na中，已知1083aa，则753aa13给定区域0444:xyxyxD，令点集000000(,),(,)DTxyD

12、 xyZxyzxy是在上取得最大值或最小值的点，则 T 中的点共确定条不同的直线（二）选做题（14-15 题，考生只能从中选做一题）14（坐标系与参数方程选做题）已知曲线C的参数方程为)(sin2cos2为参数ttytx，C在点)1,1(处的切线为l,以坐标原点为极点，x轴正半轴为极轴建立极坐标系，则l的极坐标方程为15（几何证明选讲选做题）如图 3，AB 是圆O的直径，点C 在圆O上，延长BC 到 D，使 BCCD，过 C 作圆O的切线交AD 于 E，若 AB6，DE2，则 BC三、解答题：本大题共6 小题，满分80 分 解答须写出文字说明、证明过程和演算步骤16（本小题满分12 分）已知函

13、数()2 cos(),12f xxxR（1）求()6f的值；（2）若33cos,(,2)52，求(2)3f17（本小题满分12 分）某车间共有12 名工人，随机抽取6 名，他们某日加工零件个数的茎叶图如图4 所示，其中茎为十位数，叶为个位数（1）根据茎叶图计算样本均值；（2）日加工零件个数大于样本均值的工人为优秀工人根据茎叶图推断该车间12 名工人中有几名优秀工人？（3）从该车间12 名工人中，任取2人，求恰有1 名优秀工人的概率1 7 9 2 0 1 5 3 0 图 4 文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6

14、X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N

15、10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:

16、CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 H

17、W6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ

18、4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编

19、码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2

20、 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1D B C A E 图 5 图 6 D B C E O AO 18（本小题满分14 分）如图 5，在等腰直角三角形ABC 中，A 90，6BC，D，E 分别是 AC，AB 上的点，2CDBE，O 为 BC 的中点将 ADE沿 DE 折起，得到如图6 所示的四棱椎ABCDE，其中3A O（1）证明：A O平面BCDE；（2）求二面角ACDB平面角的余弦值19（本小题满分14 分）设数列

21、na的前n项和为nS，已知11a，2*1212,33nnSannnNn（1）求2a的值；（2）求数列na的通项公式；（3）证明：对一切正整数n，有1211174naaa20（本小题满分14 分）已知抛物线C的顶点为原点，其焦点(0,)(0)Fc c到直线:20lxy的距离为3 22，设 P 为直线l上的点，过点P 做抛物线C的两条切线PA，PB，其中 A，B 为切点（1）求抛物线C的方程；（2）当点00(,)P xy为直线l上的定点时，求直线AB；（3）当点P在直线l上移动时，求|AFBF的最小值21（本小题满分14 分）设函数2()(1)()xf xxekx kR（1）当1k时，求函数()f

22、 x的单调区间；（2）当1(,12k时，求函数()fx在0,k上的最大值M文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2

23、HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 Z

24、J4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档

25、编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L

26、2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5

27、 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1

28、文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K120XX年普通高等学校招生全国统一考试(广东卷)答案数学（理科）一、选择题1-5DCCAB 6-8DBB 二、填空题9(-2,1)10-1 117 1220 136 142)4(sin153

29、2三、解答题16（1）由题意1222)4cos(2)126cos(2)6(f（2）)2,23(,53cos，54-sin252453)54(2cossin22sin,2571)53(21-cos22cos22)4sin2sin4cos2(cos2)42cos(2)1232cos(2)32(f2517)2524(2572sin2cos)2sin222cos22(217（1）样本均值为226302521201917x（2）根据题意，抽取的6 名员工中优秀员工有2 人，优秀员工所占比例为3162，故 12 名员工中优秀员工人数为41231（人）（3）记事件A 为“抽取的工人中恰有一名为优秀员工”，由

30、于优秀员工4 人，非优秀员工为8 人，故事件 A 发生的概率为33166684)(2121814CCCAP，即抽取的工人中恰有一名为优秀员工的概率为331618（1）折叠前连接OA 交 DE 于 F，折叠前 ABC 为等腰直角三角形，且斜边BC=6，所以 OABC，OA=3，AC=BC=23又2BECDBCDE，22AEADOA DE，22AEADAF=2，OF=1折叠后 DEOF，DE A F，OFAF=FDE面 AOF，又OFAOA面DE A O又 AF=2，OF=1，A O=3 A OF 为直角三角形，且A OF=90文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10

31、V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT

32、3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6

33、X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N

34、10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:

35、CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 H

36、W6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ

37、4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1AOOF，又BCDEDE面，BCDEOF面，且 DEOF=F，AO面 BCDE（2）过 O 做 OH交 CD 的延长线于H，连接HA，OH=22AO=223，230)3()223(2222OHOAHA AHO 即为二面角BCDA的平面角，故cosAHO=5153023HAOH19（1）令*21,32312NnnnanSnn中 n=1

38、 得,32131221aa42212aa（2）由*21,32312NnnnanSnn；得)2)(1(612326121231nnnnannnnaSnnn)3)(2)(1(612)1(21nnnanSnn两式相减得)2)(1(2122)1(121nnnaanSSnnnn)2)(1(2122)1(121nnnaanannn)2)(1(212)2(2)1(12nnanannn11212nanann，11212nanann又由（1）知112,22,111221aaaa为公差的等差数列，为首相，是以11nannnan)(*2Nnnan（3）)1111(21)1)(1(111122nnnnnn)1111(

39、21)4121(21)311(2111312111111222321nnnaaaan47)111(2147)111211(211nnnn20（1）依题意得0,22322cc，1c抛物线焦点坐标为（0,1），抛物线解析式为x2=4y（2）设 A（x1，421x），B（x2，422x），可设 A、B 中点坐标为M)82(222121xxxx，所以直线PA：424)(22112111xxxxxxxy，文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW

40、6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4

41、N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码

42、:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2

43、HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 Z

44、J4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档

45、编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L

46、2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1直线 PB：424)(22222222xxxxxxxy两式相减得)2(244202121212221xxxxxxxxxx21xx，0221xx，0221xxx2210 xxx，0212xxx将 P（0 x，0 x-2）带入 PA：42211xxxy得4422221212110 xxxxxxx84021xxx2428168482)(8020020212212221xxxxxxxxxxA、B 中点坐标为M（0 x，242020 xx）直线 AB 的斜率24)(402

47、1122122xxxxxxxkAB故直线 AB 的方程为22242)(20002000 xxxxxxxxy（3）由于 A 点到焦点F 的距离等于A 点到准线y=-1 的距离，|AF|=1421x，|BF|=1422x29)23(2962142)2(14)4()14)(14(200200202022212212221xxxxxxxxxxxxBFAF当230 x时，BFAF取最小值2921（1）k=1 时2)1()(xexxfx)2(2)1()(xxxexxexexf当 x0 时02xe，故0)2()(xexxf,)(xf单调递增；0 x ln2 时02xe，故0)2()(xexxf，)(xf单调

48、递增；综上，)(xf的单调增区间为)0,(和),2(ln，单调减区间为)2ln,0(（2）)2(2)1()(kexkxexexfxxx121k，221k由（1）可知)(xf的在（0，ln2k）上单调递减，在（ln2k，+）上单调递增设)121(，2ln)(xxxxg文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编

49、码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2

50、 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5 ZJ4N10V5B3K1文档编码:CT3X8E9I1L2 HW6X1U5H4P5