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1、普通高等学校招生全国统一考试文科数学(必修+选修 I)本试卷分第卷(选择题)和第卷(非选择题)两部分第卷1 至 2 页第卷3 至 10 页考试结束后，将本试卷和答题卡一并交回第卷注意事项：1答第卷前，考生务必将自己的姓名、准考证号、考试科目涂写在答题卡上2每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑如需改动，用橡皮擦干净后，再选涂其它答案标号不能答在试题卷上3本卷共12 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参考公式：如果事件AB，互斥，那么球的表面积公式()()()P ABP AP B24SR如果事件AB，相互独立，那么其中R表示球的半
2、径()()()P A BP AP B球的体积公式如果事件A在一次试验中发生的概率是p，那么343VRn次独立重复试验中事件A恰好发生k次的概率其中R表示球的半径()(1)(01 2)kkn kknP kC ppkn，一、选择题1若sin0且tan0是，则是（）A第一象限角B 第二象限角C 第三象限角D 第四象限角2设集合|32MmmZ，|13NnnMNZ则，（）A01，B101，C01 2，D101 2，3原点到直线052yx的距离为（）A1 B3C 2 D54函数1()f xxx的图像关于（）Ay轴对称B 直线xy对称C 坐标原点对称D 直线xy对称5若13(1)ln2lnlnxeaxbxc
3、x，则（）AabcBcabCbacDbca6设变量xy，满足约束条件：222yxxyx，则yxz3的最小值为（）A2B4C6D87设曲线2axy在点（1，a）处的切线与直线062yx平行，则a（）A1 B12C12D18正四棱锥的侧棱长为32，侧棱与底面所成的角为60，则该棱锥的体积为（）A3 B6 C9 D18 944)1()1(xx的展开式中x的系数是（）A4B3C3 D4 10函数xxxfcossin)(的最大值为（）A1 B2C3D2 11设ABC是等腰三角形，120ABC，则以AB，为焦点且过点C的双曲线的离心率为（）A221B231C21D3112已知球的半径为2，相互垂直的两个平
4、面分别截球面得两个圆若两圆的公共弦长为2，则两圆的圆心距等于（）A1 B2C3D2 文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3
5、O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I
6、3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V
7、9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7
8、S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V
9、5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J1
10、0V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3普通高等学校招生全国统一考试文科数学(必修+选修 I)第卷二、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13设向量(12)(2 3)，ab，若向量ab
11、与向量(47)，c共线，则14从 10 名男同学，6 名女同学中选3 名参加体能测试，则选到的3 名同学中既有男同学又有女同学的不同选法共有种（用数字作答）15已知F是抛物线24Cyx：的焦点，AB，是C上的两个点，线段AB 的中点为(2 2)M，则ABF的面积等于16平面内的一个四边形为平行四边形的充要条件有多个，如两组对边分别平行，类似地，写出空间中的一个四棱柱为平行六面体的两个充要条件：充要条件；充要条件（写出你认为正确的两个充要条件）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）在ABC中，5cos13A，3cos5B（）求si
12、n C的值；（）设5BC，求ABC的面积18（本小题满分12 分）等差数列na中，410a且3610aaa，成等比数列，求数列na前 20 项的和20S文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA
13、7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6
14、I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码
15、:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5
16、HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 Z
17、J6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档
18、编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M319（本小题满分12 分）甲、乙两人进行射击比赛，在一轮比赛中，甲、乙各射击一发子弹根据以往资料知，甲击中 8
19、环，9 环，10 环的概率分别为0.6，0.3，0.1，乙击中8 环，9 环，10 环的概率分别为0.4，0.4，0.2设甲、乙的射击相互独立（）求在一轮比赛中甲击中的环数多于乙击中环数的概率；（）求在独立的三轮比赛中，至少有两轮甲击中的环数多于乙击中环数的概率20（本小题满分12 分）如图，正四棱柱1111ABCDABC D中，124AAAB，点E在1CC上且ECEC31（）证明：1AC平面BED；（）求二面角1ADEB的大小21（本小题满分12 分）设aR，函数233)(xaxxf（）若2x是函数)(xfy的极值点，求a的值；（）若函数()()()0 2g xfxfxx，在0 x处取得最大
20、值，求a的取值范围22（本小题满分12 分）设椭圆中心在坐标原点，(2 0)(01)AB，是它的两个顶点，直线)0(kkxy与 AB 相交于点 D，与椭圆相交于E、F 两点（）若6EDDF，求k的值；（）求四边形AEBF面积的最大值A B C D E A1 B1 C1 D1 文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9
21、M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S
22、3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5
23、I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10
24、V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W
25、7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3
26、V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J
27、10V9M3普通高等学校招生全国统一考试文科数学试题（必修选修）参考答案和评分参考评分说明：1本解答给出了一种或几种解法供参考，如果考生的解法与本解答不同，可根据试题的主要考查内容比照评分参考制订相应的评分细则2对计算题，当考生的解答在某一步出现错误时，如果后继部分的解答未改变该题的内容和难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应得分数的一半；如果后继部分的解答有较严重的错误，就不再给分3解答右端所注分数，表示考生正确做到这一步应得的累加分数4只给整数分数选择题不给中间分一、选择题1C2B3D4C5C6D 7A8B9 A10B 11B 12C 二、填空题13 2 144
28、20 152 16两组相对侧面分别平行；一组相对侧面平行且全等；对角线交于一点；底面是平行四边形注：上面给出了四个充要条件如果考生写出其他正确答案，同样给分三、解答题17解：（）由5cos13A，得12sin13A，由3cos5B，得4sin5B 2 分所以16sinsin()sincoscossin65CABABAB 5 分（）由正弦定理得45sin13512sin313BCBACA 8 分所以ABC的面积1sin2SBCACC113165236583 10 分18解：设数列na的公差为d，则文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W
29、7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3
30、V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J
31、10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU
32、8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7
33、D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I
34、3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:
35、CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M33410aadd，642102aadd，1046106aadd 3 分由3610aaa，成等比数列得23106a aa，即2(10)(106)(102)ddd，整理得210100dd，解得0d或1d 7 分当0d时，20420200Sa 9 分当1d时，143103 17aad，于是20120 19202Sad207190330 12 分19解：记12AA，分别
36、表示甲击中9 环，10 环，12BB，分别表示乙击中8 环，9环，A表示在一轮比赛中甲击中的环数多于乙击中的环数，B表示在三轮比赛中至少有两轮甲击中的环数多于乙击中的环数，12CC，分别表示三轮中恰有两轮，三轮甲击中环数多于乙击中的环数（）112122AA BA BA B，2 分112122()()P AP A BA BA B112122()()()P A BP A BP A B112122()()()()()()P AP BP AP BP AP B0.30.40.1 0.40.1 0.40.2 6 分（）12BCC，8 分22213()()1()3 0.2(1 0.2)0.096P CCP
37、AP A，332()()0.20.008P CP A，1212()()()()0.0960.0080.104P BP CCP CP C 12 分文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V
38、5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J1
39、0V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8
40、W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D
41、3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3
42、J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:C
43、U8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M320解法一：依题设，2AB，1CE（）连结AC交BD于点F，则BDAC由三垂线定理知，1BDAC 3 分在平面1ACA内
44、，连结EF交1AC于点G，由于12 2AAACFCCE，故1RtRtA ACFCE，1AACCFE，CFE与1FCA互余于是1ACEF1AC与平面BED内两条相交直线BDEF，都垂直，所以1AC平面BED 6 分（）作GHDE，垂足为H，连结1A H由三垂线定理知1AHDE，故1A HG是二面角1ADEB的平面角 8 分223EFCFCE，23CECFCGEF，2233EGCECG13EGEF，12315EFFDGHDE又22112 6ACAAAC，115 63AGACCG11tan5 5AGA HGHG所以二面角1ADEB的大小为arctan5 5 12 分解法二：以D为坐标原点，射线DA为
45、x轴的正半轴，建立如图所示直角坐标系Dxyz依题设，1(2 2 0)(0 2 0)(0 21)(2 0 4)BCEA，A B C D E A1 B1 C1 D1 y x z A B C D E A1 B1 C1 D1 F H G 文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D
46、3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3
47、J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:C
48、U8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA
49、7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6
50、I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码:CU8W7S3O3P5 HA7D3V5I3K8 ZJ6I3J10V9M3文档编码