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1、2019-2020 学年广东省佛山市高二上学期期末数学试题一、单选题1已知直线l经过点1,2P，且倾斜角为135，则直线l的方程为（）A30 xyB10 xyC10 xyD30 xy【答案】B【解析】由倾斜角求出斜率，写出直线方程的点斜式，化成一般式.【详解】直线l倾斜角为135，则斜率为-1，且经过点1,2P，直线l方程为2(1)yx，即10 xy.故选:B【点睛】本题考查求直线方程，属于基础题.2已知命题p：，则为A，B，C，D，【答案】D【解析】根据全称命题的否定为特称命题可得答案【详解】解：命题p：，则为，故选：D【点睛】本题考查的知识点是全称命题，命题的否定，熟练掌握全特 称命题的否
2、定方法是解答的关键3已知抛物线2yx 上的点M到其焦点的距离为2，则M的横坐标是（）A32B52C74D94【答案】C【解析】求出抛物线的准线方程，设点M的横坐标，利用抛物线的定义，即可求解.【详解】第 1 页，共 16 页抛物线2yx焦点1(,0)4F，准线方程为14x，设点M的横坐标为0 x，根据抛物线的定义，0017|2,44MFxx.故选:C【点睛】本题考查抛物线定义在解题中的应用，属于基础题.4圆22460 xyx与圆22460 xyy的位置关系为（）A外离B相切C相交D内含【答案】C【解析】求出两圆的圆心和半径，判断圆心距和两半径和与差的绝对值的关系，即可得出结论.【详解】2246
3、0 xyx化为22(2)10 xy，圆心1(2,0)C，半径110r；22460 xyy化为22(2)10 xy，圆心2(0,2)C，半径210r，120|2 22 10C C，所以两圆相交.故选:C【点睛】本题考查两圆的位置关系，属于基础题.5过点3,2的双曲线C的渐近线方程为0 xy，则C的方程为（）A221xyB225xyC221yxD225yx【答案】B【解析】根据渐近线方程，设出双曲线方程，将点3,2代入，即可求解.【详解】双曲线C的渐近线方程为0 xy，设双曲线C的方程为22(0)xy第 2 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F
4、6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6
5、HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F
6、6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6
7、HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F
8、6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6
9、HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F
10、6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9将点3,2代入，得5.故选:B【点睛】本题考查已知双曲线渐近线方程求标准方程，合理设双曲线方程是解题的关键，属于基础题.6函数21fxxa，则“0a”是“01,1x，使00fx”的（）A充分不必要条件B必要不充分条件C充分必要条件D既不充分也不必要条件【答案】A【解析】先求出“01,1x，使00fx”成立时，a的取值范围，与“0a”比较，即可得出结论.【详解】01,1x，使00fx即200()10f xxa，需max1,1,()1
11、01xf xaa，“0a”是“01,1x，使00fx”的充分不必要条件.故选:A【点睛】本题考查充分不必要条件的判断，考查存在不等式成立，属于基础题.7已知m是平面的一条斜线,直线l过平面内一点A,那么下列选项中能成立的是()Al,且lmBl,且lmCl,且lmDl,且lm【答案】A【解析】将选项 BCD 一一当做条件，都会得出与题中矛盾的结论，故选项BCD 错误，选项A 得不出矛盾，选项 A 正确.【详解】解：若l,且lm，则m或m，不符合题意，选项B 错误；若l,且lm，则m，不符合题意，选项C 错误；若l,且lm，则m，不符合题意，选项D 错误.故选：A.【点睛】本题考查了空间中线面平行
12、与垂直关系的判定与性质，属于基础题.8正四棱柱1111ABCDA B C D中，12AAAB，则异面直线1AD与1B D所成角的余弦值为（）第 3 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 H
13、S5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6
14、X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 H
15、S5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6
16、X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 H
17、S5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6
18、X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9A110B110C3010D3010【答案】D【解析】建立空间直角坐标系，求出11,A DD B坐标，利用空间向量法，求出11,AD DBuuuu r uuuu r所成角余弦的绝对值，即为所求.【
19、详解】设122AAAB，以D为坐标原点，以1,DA DC DD所在的直线分别为,x y z轴，建立空间直角坐标系Oxyz，则11(1,0,0),(0,0,2),(1,1,2)ADB，11(1,02),(1,1,2)ADDBu uu u ruu uu r，111111330cos,1056ADDBADDBADDBuu uu r uuu u ruuuu r u uu u ruu uu ruuuu r.因此，异面直线1AD与1DB所成角的余弦值为3010.故选:D【点睛】本题考查用空间向量法求异面直线所成的角，属于基础题.9如图，长方体1111ABCDA B C D中，4ABBC，12 2BB，点E
20、，F，M分别为11A B，11A D，11B C的中点，过点M的平面与平面AEF平行，且与长方体的面相交，则交线围成的几何图形的面积为（）第 4 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
21、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
22、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
23、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
24、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
25、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
26、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9A6 5B6 6C12 D24【答案】A【解析】过点M作两条相交的直线与平面AEF平行，这两条相交线确定的平面即为，作出平面与长方体交线，可得交线围成图形为等腰梯形，求出等腰梯形的面积，即可求解.【
27、详解】取11C D中点N，连11,MN BM BD DN B D，Q点E，F，M分别为11A B，11A D，11B C的中点，11111/,2EFMNB DEFMNB D由长方体111,/,/ACBDB DMNBD，,MN BD确定平面MNDB，/,EFMN EF平面MNDB，MN平面MNDB，/EF平面MNDB，同理可证/AF平面MNDB，,EFAFF EF AFI平面AEF，平面/AEF平面MNDB，平面MNDB即为所求的平面，11112 2,2 322MNB DBDBMDN，平面与长方体交线围成的图形是等边梯形MNDB等腰梯形的高为12210，面积为1(2242)106 52.故选:A
28、【点睛】本题考查面面平行的判定，以及平面与空间图形的相交线组成的图形，属于较中档题.第 5 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:C
29、L9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7
30、T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:C
31、L9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7
32、T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:C
33、L9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7
34、T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X910已知0,Fc为双曲线：222210,0yxabab的上焦点，若圆F：222xyca上恰有三个点到的一条渐近线的距离为23a，则的离心率为（）A103B133C102D132【答案】A【解析】圆F圆心为双曲线焦点，可求出圆心到渐近线的距离，若圆F上恰
35、有三个点到的一条渐近线的距离为23a，则与渐近线平行且与渐近线距离为23a的直线与圆F相切，可求出圆心到切线的距离且等于a，得出,a b关系，进而得出结论.【详解】双曲线：222210,0yxabab的一条渐近线方程为0axby，圆心(0,)Fc到直线0axby距离为22bcbab，圆F上恰有三个点到的一条渐近线的距离为23a，则与渐近线平行且与渐近线距离为23a的直线l与圆F相切，圆心到切线l的距离为211,333bbaa baa，2101()3bea.故选:A【点睛】本题考查直线与圆的位置关系，考查双曲线的简单几何性质，考查数形结合思想，属于中档题.二、多选题11瑞士数学家欧拉（Leonh
36、ardEuler）1765 年在其所著的三角形的几何学一书中提出：任意三角形的外心、重心、垂心在同一条直线上，后人称这条直线为欧拉线.已知ABC的顶点4,0A，0,4B，其欧拉线方程为20 xy，则顶点C的坐标可以是（）A2,0B0,2C2,0D0,2【答案】AD【解析】设(,)C x y，依题意可确定ABC的外心为(0,2)M，可得出,x y一个关系式，求出ABC重心坐标，第 6 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
37、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
38、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
39、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
40、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
41、5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X
42、9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS
43、5D3G9H7T7 ZZ2G3V2F6X9代入欧拉直线方程，又可得出,x y另一个关系式，解方程组，即可得出结论.【详解】设(,),C x yAB的垂直平分线为yx，ABC的外心为欧拉线方程为20 xy与直线yx的交点为(1,1)M，22|10,(1)(1)10MCMAxy，由4,0A，0,4B，ABC重心为44(,)33xy，代入欧拉线方程20 xy，得20 xy，由 可得2,0 xy或0,2xy.故选:AD【点睛】本题以数学文化为背景，考查圆的性质和三角形重心，属于较难题.12在平面直角坐标系中，曲线C上任意点P与两个定点2,0A和点2,0B连线的斜率之和等于2，则关于曲线C的结论正确的有
44、（）A曲线C是轴对称图形B曲线C上所有的点都在圆222xy外C曲线C是中心对称图形D曲线C上所有点的横坐标x满足2x【答案】BC【解析】根据已知条件求出曲线C的方程，即可求得结论.【详解】设点(,),2,222PAPByyP x yxkkxx，得24,0 xyxx不满足方程，4(2)yxxx图像如下图所示：曲线对应的函数是奇函数，图像关于原点对称，无对称轴，选项 C 正确，选项A 不正确；222216288 282xyxx，选项 B 正确；当1x时，3y则选项 D 不正确.故选:BC 第 7 页，共 16 页文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编
45、码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G
46、9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编
47、码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G
48、9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编
49、码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G
50、9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编码:CL9H6H4K9Y6 HS5D3G9H7T7 ZZ2G3V2F6X9文档编