1/5单选题
难度：
1.
已知圆(x＋2)2＋y2＝36的圆心为M，设A为圆上任一点，N(2,0)，线段AN的垂直平分线交MA于点P，则动点P的轨迹是( )
| A | 圆 |
| B | 椭圆 |
| C | 双曲线 |
| D | 抛物线 |
- 提示1：
- PHA+55S75Zu+5YiG5p6QPC9wPg==
- 提示2：
- PHA+5Yip55So5Z6C55u05bmz5YiG57q/55qE5oCn6LSo77yM5Luj5o2i55u4562J57q/5q61PGJyPjwvcD4=
正确答案：Qg==
PHA+54K5UOWcqOe6v+autUFO55qE5Z6C55u05bmz5YiG57q/5LiK77yM5pWFfFBBfO+8nXxQTnzvvIzlj4hBTeaYr+WchueahOWNiuW+hO+8jDxicj7iiLR8UE1877yLfFBOfO+8nXxQTXzvvIt8UEF877ydfEFNfO+8nTxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny9BRi9yQkFDSjFUWnVDNnpUVmZPQUFBQlFMOVpEVEE2OTAucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3L0FGL3JCQUNKMVRadUM2elRWZk9BQUFCUUw5WkRUQTY5MC5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIyMiI+fE1OfO+8jOeUseakreWchuWumuS5ieefpe+8jFDnmoTovajov7nmmK/mpK3lnIY8L3A+
2/5单选题
难度：
2.
已知F1、F2分别为椭圆C
：
＋
＝1的左、右焦点，点P为椭圆C上的动点，则△PF1F2的重心G的轨迹方程为( )
| A |
|
| B |
|
| C |
|
| D | x2＋ |
＋
＝1(y≠0)
＋y2＝1(y≠0)
＋3y2＝1(y≠0)
＝1(y≠0)- 提示1：
- PHA+5LiJ6KeS5b2i55qE6YeN5b+D5Li65Lit57q/55qE5Lqk54K5PC9wPg==
正确答案：Qw==
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
3/5单选题
难度：
3.
如图所示，A、B、C分别为椭圆
＋
＝1(a>b>0)的顶点与焦点，若∠ABC＝90°，则该椭圆的离心率为( )
| A |
|
| B |
|
| C |
|
| D |
|
－1
- 提示1：
- PHA+PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3L0IwL3JCQUNKMVRadVBQVHRpdmpBQUFDSVY3RlFaVTEyNS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvQjAvckJBQ0oxVFp1UFBUdGl2akFBQUNJVjdGUVpVMTI1LnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9Ijg3Ij48L3A+
- 提示2：
- PHA+PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzdDLzI0L3JCQUNFMVRadVBYempNcjVBQUFCdmJjcXBRODczMC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvN0MvMjQvckJBQ0UxVFp1UFh6ak1yNUFBQUJ2YmNxcFE4NzMwLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjUxIj48L3A+
- 提示3：
- PHA+UnTilrNBQkPkuK1CT+KKpUFD77yM5qC55o2u5Yu+6IKh5a6a55CG5YiX5Ye6562J6YeP5YWz57O777yM5bm25YyW566APGJyPjwvcD4=
正确答案：QQ==
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
4/5单选题
难度：
4.
P是长轴在x轴上的椭圆
＋
＝1上的点，F1、F2分别为椭圆的两个焦点，椭圆的半焦距为c，则|PF1|·|PF2|的最大值与最小值之差一定是（）
| A | 1 |
| B | a2 |
| C | b2 |
| D | c2 |
- 提示1：
- PHA+5qSt5ZyG55qE5a6a5LmJPC9wPg==
- 提示2：
- PHA+57uT5ZCI5qSt5ZyG55qE5oCn6LSoPC9wPg==
- 提示3：
- PHA+5YiG5Yir6KGo56S65Ye6fDxpPlBGPC9pPjxzdWI+MTwvc3ViPnzCt3w8aT5QRjwvaT48c3ViPjI8L3N1Yj5855qE5pyA5aSn5YC85LiO5pyA5bCP5YC8PGJyPjwvcD4=
正确答案：RA==
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
5/5单选题
难度：
5.平面内有定点A、B及动点P，设命题甲是“|PA|＋|PB|是定值”，命题乙是“点P的轨迹是以A、B为焦点的椭圆”，那么甲是乙的( )
| A | 充分不必要条件 |
| B | 必要不充分条件 |
| C | 充要条件 |
| D | 既不充分也不必要条件 |
- 提示1：
- 5a+55a6a5LmJ55qE55CG6Kej
- 提示2：
- 5rOo5oSP5a6a5LmJ5Lit55qE6ZmQ5Yi25p2h5Lu2
正确答案：Qg==
54K5PGk+UDwvaT7lnKjnur/mrrU8aT5BQjwvaT7kuIrml7Z8PGk+UEE8L2k+fO+8i3w8aT5QQjwvaT585piv5a6a5YC877yM5L2G54K5PGk+UDwvaT7ovajov7nkuI3mmK/mpK3lnIbvvIzlj43kuYvmiJDnq4vvvIzmlYXpgIlCLg==