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![]() ![]() ![]() |
您最近一年使用:0次
2024-01-22更新
|
330次组卷
|
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.![]() |
您最近一年使用:0次
2023-12-22更新
|
1756次组卷
|
7卷引用: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 . 折纸是一种以纸张折成各种不同形状的艺术活动,折纸大约起游于公元1世纪或者2世纪时的中国,折纸与自然科学结合在一起,不仅成为建筑学院的教具,还发展出了折纸几何学成为现代几何学的一个分支.如图,现有一半径为4的圆纸片(A为圆心,B为圆内的一定点),且
,如图将圆折起一角,使圆周正好过点B,把纸片展开,并留下一条折痕,折痕上到A,B两点距离之和最小的点为P,如此往复,就能得到越来越多的折痕,设P点的轨迹为曲线C.在C上任取一点M,则△MAB面积的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
A.2 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-18更新
|
460次组卷
|
5卷引用:重庆市乌江新高考协作体2023-2024学年高二上学期期末学业质量联合调研抽测数学试题
重庆市乌江新高考协作体2023-2024学年高二上学期期末学业质量联合调研抽测数学试题四川省雅安市天立教育集团2023-2024学年高二下学期开学考试数学试题福建省南安市侨光中学2023-2024学年高二下学期第1次阶段考试(4月)数学试题山西省际名校2023届高三联考二(冲刺卷)数学试题(A)(已下线)微点5 塞瓦定理、富瑞基尔定理、笛沙格定理、彭塞列闭合定理综合训练
4 . 已知圆
与圆
的一个交点为M,动点M的轨迹是曲线C,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9aecbb08e26a95332325a248fe20a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cafe6abf2675e52e456304dca762573.png)
A.曲线C的方程式![]() |
B.曲线C的方程式![]() |
C.过点![]() ![]() |
D.曲线C上的点到直线![]() ![]() |
您最近一年使用:0次
2023-03-22更新
|
483次组卷
|
3卷引用:重庆市缙云教育联盟2022-2023学年高二上学期期末数学试题
名校
解题方法
5 . 已知直线
:
,点
,点
是平面内一个动点,过点
作
于点
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5a23b48a3f9daa691f6fd6c121dc0a.png)
(1)求点
的轨迹方程;
(2)设点
是一定点,
且
,过点
的直线交点
的轨迹于
,
两点,该平面内是否存在不同于点
的一定点
,使得
恒成立?若存在,求出点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.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/a5b9d83969b6a8e27e57ab71b34e2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5a23b48a3f9daa691f6fd6c121dc0a.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10c64cc584dde9a132ab54c6981cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd478a856b75d9af162ac779ac0f7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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)
![](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/1aa97ff02e581e6bbca214b12a64175c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
6 . 已知O为坐标原点,点
皆为曲线
上点,
为曲线
上异于
的任意一点,且满足直线
的斜率与直线
的斜率之积为
.
(1)求曲线
的方程:
(2)设直线
与曲线
相交于
两点,直线
的斜率分别为
(其中
),
的面积为
,以
为直径的圆的面积分别为
、
,若
恰好构成等比数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7689b6f9e6096a532fd1c69b73c7b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33692e8e88efd4a1ee08175e1491ae5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fec6efa333e34c57722ca8dcb8fbf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcec4ac7e09eb8b0e342f4f74f7feb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fec6efa333e34c57722ca8dcb8fbf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2529033d9a1fa25789e8ed343d3c780.png)
您最近一年使用:0次
名校
解题方法
7 . 已知点
与
,动点
满足直线
,
的斜率之积为
,则点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)若点
在直线
上,直线
,
分别与曲线
交于点
,
,求
与
面积之比的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ce8d4a9d432afe03a988ae2d49c28c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98c4b3f3fe826e124ca7d199d4ca4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817a419430d9951cbdb89b657b21bcf0.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04e30d5827f2120d997997e4e31ba17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db687a72ac51db994067207e136c8857.png)
您最近一年使用:0次
2022-11-26更新
|
1392次组卷
|
5卷引用:重庆市长寿中学校2022-2023学年高二上学期期末数学试题
重庆市长寿中学校2022-2023学年高二上学期期末数学试题甘肃省兰州市第二十八中学2022-2023学年高二上学期期末数学试题江西省新干县第二中学2022-2023学年高二下学期3月月考数学试题江苏省南京市六校2022-2023学年高三上学期11月联考数学试题(已下线)江苏省七市2022届高三下学期第二次调研考试数学试题变式题17-22
8 . 设O为坐标原点,动点P在圆
上,过点P作
轴的垂线,垂足为Q且
.
(1)求动点D的轨迹E的方程;
(2)直线
与圆
相切,且直线
与曲线E相交于两不同的点A、B,T为线段AB的中点.线段OA、OB分别与圆O交于M、N两点,记
的面积分别为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e01ab2367599ebef5d70bebe1e2b78.png)
(1)求动点D的轨迹E的方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4445624a29fa285ca1cce7ebe9adeba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次
2022-01-25更新
|
1206次组卷
|
2卷引用:重庆市西南大学附属中学2021-2022学年高二上学期期末数学试题
解题方法
9 . 设
两点的坐标分别为
,直线
相交于点
,且它们斜率之积为
.
(1)求点
的轨迹方程
;
(2)若斜率为
(其中
)的直线
过点
,且与曲线
交于点
,弦
的中点为
,
为坐标原点,直线
与曲线
交于点
,求四边形
的面积
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7df24de03ba49795a0d2fbf7f474acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a77aa6c27acfffcc601d9ca7e6d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765f45c05c1acd8af20d411bdf423ded.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0878af1501b3447c5dc33758fd290b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e92eac740953aa383be636ea90fd47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
名校
解题方法
10 . 在平面直角坐标系
中,已知点
,
,过点
的动直线
与过点
的动直线
的交点为P,
,
的斜率均存在且乘积为
,设动点Р的轨迹为曲线C.
(1)求曲线C的方程;
(2)若点M在曲线C上,过点M且垂直于OM的直线交C于另一点N,点M关于原点O的对称点为Q.直线NQ交x轴于点T,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb4e996beb1cf6c93f9d951b0586b7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195ce35fa3b4aa2214965f0eb19c903d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
(1)求曲线C的方程;
(2)若点M在曲线C上,过点M且垂直于OM的直线交C于另一点N,点M关于原点O的对称点为Q.直线NQ交x轴于点T,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ecf7049648dff595647940b3db6a64.png)
您最近一年使用:0次
2022-01-12更新
|
822次组卷
|
5卷引用:重庆市2021-2022学年高二上学期期末数学试题
重庆市2021-2022学年高二上学期期末数学试题浙江省温州市瑞安中学2021-2022学年高二下学期期初测试数学试题(已下线)解密14 椭圆及其方程(讲义)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)(已下线)2022年高考浙江数学高考真题变式题13-15题(已下线)2022年高考浙江数学高考真题变式题19-22题