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(完整word版)高中数学必修2期末测试(免费).pdf

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1、第 1 页共 6 页期末测试题考试时间：90 分钟试卷满分：100 分一、选择题：本大题共 14 小题，每小题4 分，共 56 分在每小题给出的四个选项中，只有一项是符合要求的1在直角坐标系中，已知A(1，2)，B(3，0)，那么线段AB 中点的坐标为()A(2，2)B(1，1)C(2，2)D(1，1)2右面三视图所表示的几何体是()A三棱锥B四棱锥C五棱锥D六棱锥3如果直线x2y10 和 ykx 互相平行，则实数k 的值为()A 2 B21C 2 D214一个球的体积和表面积在数值上相等，则该球半径的数值为()A 1 B2 C3 D4 5下面图形中是正方体展开图的是()A B C D(第

2、5 题)6圆 x2y22x4y40 的圆心坐标是()A(2，4)B(2，4)C(1，2)D(1，2)7直线 y 2x1 关于 y 轴对称的直线方程为()A y 2x 1 By2x1 正视图侧视图俯视图(第 2 题)第 2 页共 6 页Cy 2x1 Dy x1 8已知两条相交直线a，b，a平面，则 b 与的位置关系是()A b平面Bb平面Cb平面Db 与平面相交，或 b平面在空间中，a，b 是不重合的直线，是不重合的平面，则下列条件中可推出ab 的是()A a，b，Ba，bCa，bDa，b10 圆 x2y21 和圆 x2y26y50 的位置关系是()A外切B内切C外离D内含11如图，正方体AB

3、CD ABCD 中，直线DA 与 DB所成的角可以表示为()A DDB B AD CC ADB D DBC12 圆(x1)2(y1)22 被x轴截得的弦长等于()A 1 B23C 2 D 3 13 如图，三棱柱 A1B1C1ABC 中，侧棱 AA1底面 A1B1C1，底面三角形A1B1C1是正三角形，E 是 BC 中点，则下列叙述正确的是()A CC1与 B1E 是异面直线BAC平面 A1B1BACAE，B1C1为异面直线，且AEB1C1D A1C1平面 AB1E14有一种圆柱体形状的笔筒，底面半径为4 cm，高为 12 cm现要为 100 个这种相同规格的笔筒涂色(笔筒内外均要涂色，笔筒厚度

4、忽略不计)如果每 0.5 kg 涂料可以涂1 m2，那么为这批笔筒涂色约需涂料A 1.23 kg B1.76 kg C2.46 kg D3.52 kg CBADABCD(第 11题)A1 B1 C1 ABEC(第 13 题)文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2

5、Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码

6、:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N

7、10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 Z

8、Q9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H1

9、0P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3

10、 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6

11、T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1第 3 页共 6 页二、填空题：本大题共 4 小题，每小题4 分，共 16 分把答案填在题中横线上15坐标原点到直线4x3y 120 的距离为16以点 A(2，0)为圆心，且经过点B(1，1)的圆的方程是17如图，在长方体ABCDA1B1C1D1中，棱锥A1ABCD 的体积与长方体的体积之比为_18在平面几何中，有如下结论：三边相等的三角形内任意一

12、点到三边的距离之和为定值拓展到空间，类比平面几何的上述结论，可得：四个面均为等边三角形的四面体内任意一点_ 三、解答题：本大题共3 小题，共 28 分解答应写出文字说明，证明过程或演算步骤19已知直线l 经过点(0，2)，其倾斜角是60(1)求直线 l 的方程；(2)求直线 l 与两坐标轴围成三角形的面积AB C D D1 C1 B1 A1(第 17题)文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9

13、P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P

14、10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 H

15、K4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5

16、Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档

17、编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B1

18、0N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5

19、 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1第 4 页共 6 页20如图，在三棱锥PABC 中，PC底面 ABC，ABBC，D，E 分别是 AB，PB 的中点(1)求证：DE平面 PAC；(2)求证：ABPB；(3)若 PCBC，求二面角PABC 的大小21已知

20、半径为5 的圆 C 的圆心在x 轴上，圆心的横坐标是整数，且与直线4x3y29 0 相切(1)求圆 C 的方程；(2)设直线 axy5 0 与圆 C 相交于 A，B 两点，求实数a 的取值范围；(3)在(2)的条件下，是否存在实数a，使得过点P(2，4)的直线 l 垂直平分弦AB？若存在，求出实数a 的值；若不存在，请说明理由A C P B D E(第 20 题)文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J

21、5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L

22、4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q

23、8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:

24、CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N1

25、0S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ

26、9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10

27、P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1第 5 页共 6 页期末测试题参考答案一、选择题1B 2D 3D 4C 5A 6D 7A 8D 9C 10A 11D 12C 13C 14D 二、填空题1551216(x2)2y210171:318到四个面的

28、距离之和为定值三、解答题19解：(1)因为直线l 的倾斜角的大小为60,故其斜率为tan 60 3，又直线 l 经过点(0，2)，所以其方程为3 x y20(2)由直线 l 的方程知它在x 轴、y 轴上的截距分别是32，2，所以直线l 与两坐标轴围成三角形的面积S2132233220(1)证明：因为D，E 分别是 AB，PB 的中点，所以 DE P A因为 PA平面 PAC，且 DE平面 PAC，所以 DE平面 PAC(2)因为 PC平面 ABC，且 AB平面 ABC，所以 ABPC又因为ABBC，且 PC BCC所以 AB平面 PBC又因为 PB平面 PBC，所以 ABPB(3)由(2)知，

29、PBAB，BCAB，A C P B D E(第 20 题)文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK

30、6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S

31、1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P

32、3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P1

33、0J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK

34、4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q

35、2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编

36、码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1第 6 页共 6 页所以，PBC 为二面角PAB C 的平面角因为 PC BC，PCB 90，所以 PBC45，所以二面角PABC 的大小为45 21解：(1)设圆心为M(m，0)(mZ)由于圆与直线4x3y290 相切，且半径为5，所以，5294m 5，即|4m29|25因为 m 为整数，故m1故所求的圆的方程是(x1)2y225(2)直线 axy50 即 yax5代入圆的方程，消去y 整理，得(a21)x22(5a1)x10由于直线 axy50 交圆于 A，B 两点，故 4(5a1)2 4(a21)0，即

37、12a25a 0，解得 a0，或 a125所以实数 a 的取值范围是(，0)(125，)(3)设符合条件的实数a 存在，由(2)得 a0，则直线l 的斜率为a1，l 的方程为ya1(x2)4，即 xay 24a 0由于 l 垂直平分弦AB，故圆心 M(1，0)必在 l 上所以 1024a0，解得 a43由于43(125，)，故存在实数a43，使得过点P(2，4)的直线 l 垂直平分弦AB文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3

38、HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T

39、5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文

40、档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B

41、10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J

42、5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L

43、4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1文档编码:CK6T5Q2Q8N3 HK4L4H10P10J5 ZQ9P3B10N10S1

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