名校
1 . 下列说法不正确的有( )
A.点![]() ![]() ![]() |
B.经过点![]() ![]() |
C.过双曲线![]() ![]() ![]() |
D.直线![]() ![]() ![]() |
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2024-01-22更新
|
330次组卷
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2卷引用:重庆市西南大学附属中学校2023-2024学年高二上学期期末考试数学试题
2 . 已知
,
,
,
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f95c297b230eea1d0e69f769b9ebbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf342e77c56e55a35bb1151bc215a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c921a259854f82bf4f2b50dd60049ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5641e6986af94b892e349004dd288e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104785121b48b450bc6842254fe251a3.png)
A.![]() | B.4 | C.![]() | D.![]() |
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2023-12-22更新
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7卷引用:重庆市第一中学校2023-2024学年高二上学期12月定时练习数学试题
重庆市第一中学校2023-2024学年高二上学期12月定时练习数学试题重庆市第一中学校2023-2024学年高二上学期期末模拟数学试题重庆市沙坪坝区重庆一中2024届高三上学期12月月考数学试题重庆缙云教育联盟2024届高三高考第一次诊断性检测数学试卷(已下线)第五讲:化归与转化思想【练】高三清北学霸150分晋级必备(已下线)重难点4-1 平面向量的最值与范围(4题型+满分技巧+限时检测)(已下线)压轴题06向量、复数压轴题16题型汇总-2
3 . 如图,线段
的两个端点
分别在
轴、
轴上滑动,
,点
是
上一点,且
,点
随线段
的运动而变化.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/f9a532ae-2c9a-4960-bfe4-81970ef164a3.png?resizew=168)
(1)求点
的轨迹方程
;
(2)动点
在曲线
外,且点
到曲线
的两条切线相互垂直,求证:点
在定圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf10573c5ea2b397b8721d1db7f5cc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bac796866edc8cb23be5a3ed3cdc42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/f9a532ae-2c9a-4960-bfe4-81970ef164a3.png?resizew=168)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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4 . 在平面直角坐标系
中,点
,点
是平面内的动点.若以PF为直径的圆与圆
内切,记点P的轨迹为曲线E.
(1)求E的方程;
(2)设点
,
,
,直线AM,AN分别与曲线E交于点S,T(S,T异于A),
,垂足为H,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46542271c7fa06f33b222424838c9684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
(1)求E的方程;
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10c64cc584dde9a132ab54c6981cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59cc6019966ce25e3ad146e992f0c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60030f98d7cf695840770c05e63dbd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a31666076b1d37cd2f99afa950da5ab.png)
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2023-12-18更新
|
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5卷引用:重庆市南开中学校2023-2024学年高二下学期阶段测试数学试题
重庆市南开中学校2023-2024学年高二下学期阶段测试数学试题(已下线)专题11椭圆(3个知识点7个拓展2个突破7种题型2个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)广东省广州市2024届高三上学期调研测试数学试题(B)(已下线)模块一 专题2 《解析几何》单元检测篇 B提升卷湖南省长沙市长郡中学2024届高三上学期期末适应性考数学试题
名校
解题方法
5 . 在平面直角坐标系
中,
、
为圆
:
与
轴的交点,点
为该平面内异于
、
两点的动点,且______,从下列条件中任选一个补充在上面问题中作答.
条件①:直线
与直线
的斜率之积为
;
条件②:设
为圆
上的动点,
为点
在
轴上的射影,且
为
的中点;
注:如果选择多个条件作答,按第一个计分.
(1)求动点
的轨迹方程
;
(2)若直线
与(1)问中轨迹方程
交于
、
两点,与圆
相交于
、
两点,且
,求
面积最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
条件①:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
条件②:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c118858379800688c993a8b61270b356.png)
注:如果选择多个条件作答,按第一个计分.
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3048c89a440adc547e7f19581d03ceb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
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解题方法
6 . 已知椭圆C:
的左右焦点分别为
,
,P为C上任意一点.I为三角形
的内心,则I恒在( )上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.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/bd5a8e1bc9748e5519dcd9981b7eb251.png)
A.离心率比C小的椭圆 | B.离心率比C大的椭圆 |
C.直线 | D.双曲线 |
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名校
解题方法
7 . 已知点
在运动过程中,总满足关系式:
.
(1)点M的轨迹是什么曲线?写出它的方程;
(2)设圆O:
,直线l:
与圆O相切且与点M的轨迹交于不同两点A,B,当
且
时,求弦长
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8d296db92fe65acc8c520b74e39645.png)
(1)点M的轨迹是什么曲线?写出它的方程;
(2)设圆O:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c125c69f71058a8036b693e9b808bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69738ad992e118c8b7ebdd2311f7787f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2023-10-17更新
|
694次组卷
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4卷引用:重庆市云阳县云阳高级中学校2023-2024学年高二上学期第二次月考数学试题
重庆市云阳县云阳高级中学校2023-2024学年高二上学期第二次月考数学试题江苏省苏州市三校2023-2024学年高二上学期10月阶段检测数学试题(已下线)专题08 椭圆双曲线综合大题(9题型)-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)江苏省南京市第九中学2023-2024学年高三上学期10月学情检测数学试题
8 . 已知圆
:
和圆
:
,以动点
为圆心的圆与其中一个圆外切,与另一个圆内切.记动点
的轨迹为
.
(1)求轨迹
的方程;
(2)过
的直线交轨迹
于
,
两点,点
在直线
上.若
为以
为斜边的等腰直角三角形,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d3340c8c78779f55f71046671368a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90beb743b21ceef511de338c563d74a7.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/0b68df477b3ee45ac0f725db00d465a1.png)
(1)求轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bbde2076bfa6dd859f7787e155ab8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023-10-15更新
|
458次组卷
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4卷引用:重庆市第一中学2023-2024学年高二上学期第一次月考数学试题
重庆市第一中学2023-2024学年高二上学期第一次月考数学试题(已下线)3.1.2 椭圆的几何性质(10大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)(已下线)3.1.2 椭圆的简单几何性质(10大题型)精讲-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)河北省秦皇岛市昌黎第一中学2024届高三上学期第六次调研考试数学试题
9 . 设点
,
,
的坐标分别为
,
,
,动点
满足:
,给出下列四个命题:
①点
的轨迹方程为
;②
;
③存在4个点
,使得
的面积为
;④
.
则正确命题的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7724704df2f30fbcf31fc86a7daee.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bf620bb28d37968ac039103419872e.png)
③存在4个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ba9b58de88d84cf9eeb74c334846ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f961c72e1c68f68403ef02e45ad01d31.png)
则正确命题的有( )
A.① | B.② | C.③ | D.④ |
您最近一年使用:0次
2023-09-15更新
|
781次组卷
|
2卷引用:重庆市第一中学校2023-2024学年高二上学期9月月考数学试题
名校
解题方法
10 . 在平面直角坐标系中,点
为坐标原点,
,
,
为线段
上异于
的一动点,点
满足
.
(1)求点
的轨迹
的方程;
(2)点
是曲线
上两点,且在
轴上方,满足
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cf8af6e62058cc4e2d83d5da7f4c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f36374ce95a4945d0e58264c2b271f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2023-06-21更新
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5卷引用:重庆市第一中学2023-2024学年高二上学期期中数学试题
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