名校
解题方法
1 . 已知双曲线
的左、右焦点分别为
,左、右顶点分别为
是双曲线
的一条渐近线上位于第一象限内的一点,且满足
为坐标原点,线段
的中点为
,直线
与双曲线
交于另一点
,与双曲线
的另一条渐近线相交于点
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9772b3a117674e43222976a5dc816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81687c0af83f550bcb802e2d82c76a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6c4c6c64fec8bb6a9eabe4d9b8e2ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.点![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-01-25更新
|
93次组卷
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2卷引用:河北省郑口中学2023-2024学年高二第三次质量检测数学试题
2 . 已知直线
与圆
交于A,B两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e2f3392032785927a73a1be46187e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92046f08621881e87cfcaeaaafa7cf0d.png)
A.圆D的面积为![]() | B.l过定点![]() |
C.![]() ![]() | D.![]() |
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2024-01-24更新
|
225次组卷
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3卷引用:广西示范性高中2023-2024学年高二下学期3月调研测试数学试卷
广西示范性高中2023-2024学年高二下学期3月调研测试数学试卷广东省深圳市罗湖区2023-2024学年高二上学期期末质量检测数学试题(已下线)2.5.1 直线与圆的位置关系【第二练】“上好三节课,做好三套题“高中数学素养晋级之路
名校
解题方法
3 . 已知O为坐标原点,过抛物线C:
焦点F的直线与C交于A,B两点,其中A在第一象限,点
,直线
交C于另一点N,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fa16752b25d7bc123f9037bcd5ea92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188cb9d382147942736d0c5edd806707.png)
A.直线![]() ![]() | B.![]() |
C.![]() | D.直线![]() |
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2024-01-22更新
|
170次组卷
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2卷引用:湖南省株洲市第二中学2021-2022学年高二上学期第三次月考数学试卷
4 . 已知动点
分别在直线
与
上移动,则线段
的中点P到坐标原点O的距离可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de17abedc76f9f3b5b618cfddb8e76c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451deb2efdc39b42c9dda544d614d677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 直线
和
将圆
分成长度相等的四段弧,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8017829f4f5f0638cb6e0efde7e670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38817ea7ea19d6294cd4e8b6279192e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10274381f2cfe52e79b99d9e98b804e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de37b3214b27a885ed6b85acec9b42ea.png)
A.![]() | B.2 | C.![]() | D.3 |
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6 . 若圆
上恰有两点到直线
的距离等于1,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3285a2383fa18025034cf9876175295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02433702eea1641962f1a069607cd8f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-19更新
|
401次组卷
|
2卷引用:江西省宜春市宜丰县宜丰中学2023-2024学年高二上学期1月月考数学试题
2024·全国·模拟预测
解题方法
7 . 已知圆
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edf67c2e68042e26faefd72455386c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d24010ab3fed887a44fe8c21c1a86.png)
A.直线![]() ![]() |
B.过点![]() ![]() ![]() |
C.两圆相交,且公共弦长为![]() |
D.圆![]() ![]() ![]() ![]() |
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解题方法
8 . 已知
的三个顶点分别是
,且
边上的高所在的直线方程为
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3537a5c19502361a7b938d1cf80bfb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1053ca52f2879c7f8bb8a40dceb3a2.png)
A.![]() |
B.![]() ![]() |
C.过点![]() ![]() ![]() |
D.![]() ![]() |
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9 . 已知抛物线
的焦点为
,准线与
轴的交点为
,过点
且斜率为
的直线
与抛物线
交于两个不同的点
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.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/01c74a907dda6bb7d9d56d009d9df253.png)
A.当![]() ![]() |
B.![]() |
C.若直线![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
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|
450次组卷
|
3卷引用:河北省石家庄市十八中2024届高三上学期1月联考数学试题
名校
解题方法
10 . 过双曲线
(
,
)的右焦点
作渐近线的垂线,垂足为
,且该直线与
轴的交点为
,若
(
为坐标原点),该双曲线的离心率的可能取值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea3ed83bb3b4468da17e52e714e6b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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