名校
解题方法
1 . 已和双曲线
与直线
相交于A、B两点,若弦
的中点M的横坐标为1,则双曲线C的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-22更新
|
444次组卷
|
3卷引用:重庆市第十八中学2023-2024 学年高二上学期期末考试数学试题
重庆市第十八中学2023-2024 学年高二上学期期末考试数学试题(已下线)【类题归纳】弦的中点 可深可浅(课本典例)山东省潍坊市第一中学2023-2024学年高一下学期清明后摸底考试(4月月考)数学试题
名校
解题方法
2 . 抛物线
的焦点是
,过焦点
的直线
与
相交于不同的两点
,
是坐标原点,下列说法正确的是( )
![](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/a0ed1ec316bc54c37c4286c208f55667.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.以![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-01-21更新
|
524次组卷
|
2卷引用:重庆市巴蜀中学校2023-2024学年高二上学期期末考试数学试题
解题方法
3 . 已知抛物线
上存在两个不同的点
关于直线
对称,直线
与
轴交于点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02267793eff41a48ffef939c1a0948c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0befa819855f96be498aa55074645ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd357b09ef893323574d0173152be6f.png)
A.抛物线![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知左、右焦点分别为
,
的椭圆
的长轴长为4,过
的直线交椭圆于P,Q两点,则( )
![](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/b7652756f71aa23878dc03bbc76dccd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
A.离心率![]() |
B.若线段![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
5 . 已知直线
和椭圆
,写出满足条件“直线
与椭圆
有两个公共点”的
的一个值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37afd571bcd5200da98acd95b705bfc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
6 . 已知椭圆
,
是椭圆
的一条弦
的中点,点
在直线
上,则椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38826e5b816f595263672d0400676bb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12198cd33e43615a1c1304a54ce49eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知
,B,C是抛物线E:
上的三点,且直线
与直线
的斜率之和为0.
(1)求直线
的斜率;
(2)若直线
,
均与圆M:
(
)相切,且直线
被圆M截得的线段长为
,求r的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54dd475ff1321041c80738b201c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d42af230f67696dcbafe0f64196fa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6613e6d686c1e5606efb3ff76bfc709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b91f9bba2454caeacd7601690922c.png)
您最近一年使用:0次
2024-01-19更新
|
399次组卷
|
2卷引用:重庆市2024届普通高等学校招生全国统一考试高三第一次联合诊断检测数学试题
2024·全国·模拟预测
名校
解题方法
8 . 已知抛物线:
,直线
,且点
在抛物线上.
(1)若点
在直线
上,且
四点构成菱形
,求直线
的方程;
(2)若点
为抛物线和直线
的交点(位于
轴下方),点
在直线
上,且
四点构成矩形
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03534c7df6560bed49c6f10ff7a829a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2024-01-18更新
|
1006次组卷
|
5卷引用:重庆市缙云教育联盟2024届高三下学期2月月度质量检测数学试题
重庆市缙云教育联盟2024届高三下学期2月月度质量检测数学试题(已下线)2024届数学新高考学科基地秘卷(二)广东省广州市广东实验中学2024届高三上学期第三次调研数学试题(已下线)黄金卷07(2024新题型)江西省临川第一中学2023-2024学年高二下学期第一次月考数学试卷
名校
解题方法
9 . 已知点
,动点
到直线l:
的距离为d,且
,记S的轨迹为曲线C.
(1)求曲线C的方程;
(2)若
,
分别为曲线C的左、右顶点,M,N两点在直线
上,且
.连接
,
分别与C交于点P,Q,求证:直线PQ过定点,并求出定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14436636ec6a7aec09cb63cecf6e970d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee683bfdad9234a4aa810135e0d00e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe5ef58ae020856fba17dfbee68c321.png)
(1)求曲线C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb443ea94c7aca4b54e4808b4560525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06b75fb4e379ff3b99e68f40136cad.png)
您最近一年使用:0次
10 . 已知直线
与抛物线
交于A,B两点,若线段AB的中点为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399980676af7789fb9a91c7fcdeb90d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fab6b1b5fead2fa592e93e455d659a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
A.4 | B.6 | C.8 | D.10 |
您最近一年使用:0次