2008年高考全国2文科数学试卷及答案.pdf
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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
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