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1、1 高二数学第一学期期末质量检测试卷（湘教必修3+选修 1-1)一、选择题：(共 10 小题，每小题 5 分，共计 50 分)1.已知过点4,2mBmA的直线与012yx垂直，则m的值为（）A 0 B2 C-8 D10 2.12222byax上顶点0,0,021cFcFbC直角三角形，则离心率e=（）A.21 B.22 C.1 D.23.1 命题“同位角相等,两直线平行”的逆否命题为：“两直线不平行,同位角不相等”.2“1x”是“2430 xx”的充分必要条件；3 若pq为假命题，则p、q均为假命题.4 对于命题p：0 xR，200220 xx,则p：xR，222 0 xx.上面四个命题中正确
2、是（）A.12 B.23 C.14 D.344.两平行线0,03:,01:21ccayxlyxl的距离为2,3ac=（）A.-2 B.-6 C.2 D.05.一个正三棱柱，它的三视图及其尺寸如下（单位cm），则该几何体的表面积为（）A.4(9+23)cm2 B.)3824(cm2C.314 cm2 D.318 cm6.设圆的方程为22134xy，过点1,1作圆的切线，则切线方程为（）A1x B1x或1y C10y D1xy或0 xy7.过1,1P的直线与圆93222yx交于BA,两点，则AB的最小值为（）A.32 B.4 C.52 D.5 8.如图为正方体平面展开图：(1)CN与 AF平行；(
3、2)CN与BE是异面直线；(3)CN与BM成60；(4)DE与BM垂直.以上四个命题中正确的是()A(1)(2)(3)B.(2)(4)C.(3)(4)D.(3)正视图32侧视图俯视图A B C D E F N M 2 9.已知mn，,是直线，是平面，给出下列命题：若，m，nm，则n或n若，m，n，则mn若/,/,nmnm,则若m，nm/且n，n，则/n且/n其中正确的命题是()A.B.C.D.10.0,3,1003:22ByxC,P为圆上动点,BP的垂直平分线交CP于M点,则M点的轨迹方程是()A26yx.B.2212516xyC.2212516xy D.2225xy二填空题：（共 5 小题，
4、每小题5 分，共 25 分）11.在空间直角坐标系中，xA,2,1，0,4,1B，且3AB，则x=.12.已知圆21:22yxC，过点0,1P的直线0,kl交圆C于BA,两点，若0CBCA，则直线l的方程为 .13.椭圆0,1:2222babyaxC的两个焦点21,FF，P为椭圆C上一点，且212PFPF，则此椭圆C的离心率的取值范围为 .14.正方体1111DCBAABCD的棱长为1，过A点做面BDA1的垂线，垂足为点H点H是BDA1的垂心；11DCBAH面；AH的延长线经过1C点；AH和1BB的所成角为45；H点到面1111DCBA的距离为43则下列命题中，正确的命题有 .15.若实数ba
5、,满足0,0 ba且0ab，则称ba,互补，记bababa22,，那么0,ba是ba,互补的 .（填神马条件）三解答题：（共 6 小题，前三小题，每小题13 分，后三小题，每小题12 分，共 75 分）16.已知关于yx,的方程042:22myxyxC.（1）当m为何值时，方程C表示圆。（2）若圆C与直线042:yxl相交于NM,两点，且54MN,求m的值。文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I
6、1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3
7、E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J
8、4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E
9、5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8
10、C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D
11、4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P1
12、0E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A83 17.如图，在四棱锥ABCDP中，底面ABCD是矩形已知60,22,2,2,3PABPDPAADABM是PD的中点.（）证明/PB平面MAC（）；证明平面PAB平面ABCD；（）求四棱锥ABCDP的体积18.21,FF分别为椭圆0,1:2222babyaxC的左、右两个焦点，BA,为两个顶点，已知椭圆C上的点)23,1(到21,FF两点的距离之和为4.（）求椭圆C的方程；（）过椭圆C的焦点2F作AB的平行线交椭圆于QP,两点，求PQF1的面积.19.如图 1，在A B CRT中，90C，ED,分
13、别为ABAC,的中点，点F为线段CD上的一点，将ADE沿DE折起到DEA1的位置，使CDFA1A1FCD，如图 2。(I)求证：/DE平面CBA1；(II)求证：BEFA1；(III)线段BA1上是否存在点Q，使CA1平面DEQ？说明理由。文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7
14、 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7
15、ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文
16、档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2
17、P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B
18、7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A
19、8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A84 20.圆22:(1)
20、1Mxy,圆22:(1)9Nxy,动圆P与圆M外切且与圆N内切,圆心P的轨迹为曲线C.()求C的方程;()l是与圆P,圆M都相切的一条直线,l与曲线C交于A,B两点,当圆P的半径最长时,求|AB.21.已知圆C的方程为22(4)4xy,点O是坐标原点.直线:lykx与圆C交于,M N两点.()求k的取值范围;()设(,)Q m n是线段MN上的点,且222211|OQOMON.请将n表示为m的函数.文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7
21、HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 Z
22、I7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档
23、编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P
24、7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7
25、 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8
26、文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y
27、2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A85 高二数学第一学期期末质量检测试卷（湘教必修3+选修 1-1)参考答案 BBCBA BBDBB 11.1 12.013yx 13.1,31 14.15.充要条件16.解：（1）方程 C可化为myx5)2()1(221 分显然5,05mm即时时方程 C表示圆。（2）由（1）知，圆心 C（1，2），半径mr5则圆心 C（1，2）到直线l:x+2y-4=0的距离为5121422122d5221,54MNMN则，有222)21(MNdr22125()(),55m得
28、4m17.解（）证明连接在PBD中，OM 是中位线 PB OM PB平面 MAC,OM 平面 MAC,PB 平面 MAC,3 分（）由题设22,2 PDPA可得222PDADPA于是PAAD.在矩形ABCD中，ABAD.又AABPA，所以AD平面PAB AD平面 ABCD 平面 PAB 平面 ABCD 分（）解：过 点P 做ABPH于H，平 面PAB平 面A B C DPABABCDAB平面平面PH平面ABCD，-8分在RtPHA中 PH=PAsin600=3232113232 333pABCDVABADPH-10分18：解（）由题设知：2a=4，即a=2 将点)23,1(代入椭圆方程得1)(
29、2122232b，解得b2=3 c2=a2b2=4 3=1 ，故椭圆方程为13422yx-3分（）由（）知)3,0(),0,2(BA，23ABPQkk，PQ所在直线方程为)1(23xy-5分文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8
30、文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y
31、2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4
32、B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1
33、A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E
34、5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4
35、P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A86 由134)1(2322yxxy得093482yy-7分设P(x1，y1
36、)，Q(x2，y2)，则89,232121yyyy-8分221894434)(2122121yyyyyy-9分.2212212212121211yyFFSPQF-10分19.解：（1）因为 D,E 分别为 AC,AB的中点，所以DE BC.又因为 DE平面 A1CB,所以 DE平面 A1CB.（2）由已知得AC BC且 DEBC,所以 DE AC.所以 DE A1D,DECD.所以 DE平面 A1DC.而 A1F平面 A1DC,所以 DE A1F.又因为 A1FCD,所以 A1F平面 BCDE.所以 A1FBE（3）线段 A1B上存在点Q,使 A1C平面 DEQ.理由如下：如图，分别取 A1C
37、,A1B的中点 P,Q,则 PQ BC.又因为 DE BC,所以 DE PQ.所以平面DEQ 即为平面DEP.由（2）知 DE 平面 A1DC,所以 DE A1C.又因为 P是等腰三角形DA1C底边 A1C 的中点，所以 A1CDP,所以 A1C平面 DEP,从而 A1C平面 DEQ.故线段 A1B上存在点Q,使得 A1C平面 DEQ.20.解:由已知得圆M的圆心为M(-1,0),半径11r;圆 N的圆心为N(1,0),半径23r.设知 P的圆心为P(x,y),半径为 R.(I)因为圆 P与圆 M外切并且与圆N内切,所以1212()()4PMPNRrrRrr.有椭圆的定义可知,曲线 C是以 M
38、,N为左.右焦点,长半轴长为2,短半轴长为3的椭圆(左定点除外),其方程为221(2)43xyx.(II)对于曲线C 上任意一点(,)P x y,由于222PMPNR,所以R2,当且仅当圆P 的圆心为(2,0)时,R=2,所以当圆P的半径最长时,其方程为22(2)4xy;若 l 的倾斜角为90,则 l 与 y 轴重合,可得2 3AB.若 l 的倾斜角不为90,则1rR知 l 不平行于x 轴,设 l 与 x 轴的交点为Q,则1QPRQMr,可求得 Q(-4,0),所以可设l:y=k(x+4).由 l 于圆 M相切得2311kk,解得 k=24.当 k=24时,将 y=24x+2代入22143xy
39、,并整理得27880 xx,文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A
40、8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5
41、Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P
42、4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I
43、1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3
44、E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J
45、4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A87 解得21,22146 218.=1+k77xABxx所以.当 k=218=47AB时，有图形的对称性可知.综上,=2 3AB或187AB.21.解:()将xky代入22(4)4xy得 则0128)1(22xkxk,(*)由012)1
46、(4)8(22kk得32k.所以k的取值范围是),3()3,()因为M、N在直线l上,可设点M、N的坐标分别为),(11kxx,),(22kxx,则2122)1(xkOM,2222)1(xkON,又22222)1(mknmOQ,由222112ONOMOQ得,22221222)1(1)1(1)1(2xkxkmk,所以222121221222122)(112xxxxxxxxm由(*)知22118kkxx,221112kxx,所以353622km,因为点Q在直线l上,所以mnk,代入353622km可得363522mn,由353622km及32k得302m,即)3,0()0,3(m.依题意,点Q在圆
47、C内,则0n,所以518015533622mmn,于是,n与m的函数关系为5180152mn()3,0()0,3(m)文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E
48、5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8
49、C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D
50、4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P10E5I1A8文档编码:CR8C3E5Y2P7 HM8D4J4P4B7 ZI7P1