名校
1 . 已知函数,若实数
满足
,则
的最大值为( )
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-04更新
|
546次组卷
|
2卷引用:浙江省杭州师范大学附属中学2024届高三下学期高考适应性考试数学试卷
2 . 圆锥曲线具有丰富的光学性质,在人教版A版选择性必修第一册的阅读与思考中提到了椭圆的光学性质:从椭圆的一个焦点发出的光线,经过椭圆反射后,反射光线交于椭圆的另一个焦点上,(如图(1)).如图(2),已知
为椭圆
的左焦点,
为坐标原点,直线
为椭圆
的任一条切线,
为
在
上的射影,则点
的轨迹是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/5c9ce68b-3315-4430-b2a6-0635eacad0ba.png?resizew=312)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/5c9ce68b-3315-4430-b2a6-0635eacad0ba.png?resizew=312)
A.圆 | B.椭圆 | C.双曲性 | D.抛物线 |
您最近一年使用:0次
解题方法
3 . 已知椭圆
的左、右焦点分别为
是椭圆
的上顶点,线段
的延长线交椭圆
于点
.若
,则椭圆
的离心率
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c893bc5081ac0a24d4b112982d26d793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a76408ed2eec84790040ac61fa1b540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知F为椭圆
的左焦点,过点F的直线l交椭圆于A,B两点,
,则直线AB的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aba4f902e5c0f46458f727bb49584c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-25更新
|
195次组卷
|
2卷引用:浙江省温州市2023-2024学年高二上学期期末教学质量统一检测数学试题(A)
名校
解题方法
5 . 如图,由点P
射出的部分光线被椭圆
挡住,图中光线照不到的阴影区域(包括边界)为椭圆
的“外背面”.若
位于椭圆
的“外背面”,则实数t的取值范围为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/db99d7e1-e5dd-4b0f-9618-21411a02d1a5.png?resizew=185)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079dd115a4b8cbc93918a853363786dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7075a7718f86469551301e7c14915a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/db99d7e1-e5dd-4b0f-9618-21411a02d1a5.png?resizew=185)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 费马原理是几何光学中的重要原理,可以推导出圆锥曲线的一些光学性质,如:点
为椭圆(
为焦点)上一点,则点
处的切线平分
外角.已知椭圆
为坐标原点,
是点
处的切线,过左焦点
作
的垂线,垂足为
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9a292172d23853e9909c70ceeae856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5f4493abd2b69f83eae0362c509f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c19fa4cd646f4d877c3e58cc346651.png)
A.![]() | B.2 | C.3 | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知椭圆
的左,右焦点分别为
,
,上顶点为A,直线
与椭圆E的另一个交点为B,若
,则椭圆E的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a76408ed2eec84790040ac61fa1b540.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-03更新
|
846次组卷
|
8卷引用:浙江省金华十校2023-2024学年高三上学期11月模拟考试预演数学试题
浙江省金华十校2023-2024学年高三上学期11月模拟考试预演数学试题2023年普通高等学校招生星云线上统一模拟考试Ⅰ数学试卷(已下线)第01讲 椭圆(练)广东省广州七中2023届高三上学期1月月考数学试题黑龙江省哈尔滨市第三中学校2022-2023学年高二上学期期末数学试题(已下线)3.1.2 椭圆的简单几何性质(精练)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)黑龙江省哈尔滨市第九中学校2023-2024学年高二上学期12月月考数学试题(已下线)专题3.1 椭圆(5个考点十四大题型)(5)
解题方法
8 . 已知椭圆
的左、右焦点为
为椭圆上一点,过P点作椭圆的切线l,PM垂直于直线l且与x轴交于点M,若M为
的中点,则该椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b24214f111f7c6d2b64e53ad970438b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e77e7d5246e0652b98107e8a32d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d107e77106ff1a9cb76b504bbc99bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知椭圆
的上顶点为B,O为坐标原点,点
,线段
与
交于点
,点
在线段
上,且
,若直线
与圆
相交,则
的离心率的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26cc6a4a6a61473650ba07584f609dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda96c372cadfda731a1b91e4f24ddb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-02-22更新
|
343次组卷
|
4卷引用:浙江省温州市苍南县金乡卫城中学2023-2024学年高二上学期10月检测数学试题
解题方法
10 . 已知直线
上存在点
,使得
到点
和
为的距离之和为4.若
为正数,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951d1af2c49dee6a7b9822aad9d978c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2eaa60024f0fb18a23115f4d9b415b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ced8e4f6e05b98d81f5161f77751d7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-15更新
|
192次组卷
|
2卷引用:浙江省嘉兴市秀水高级中学2023-2024学年高二上学期10月月考数学试题