1 . 如图,已知椭圆
和抛物线
,
的焦点
是
的上顶点,过
的直线交
于
、
两点,连接
、
并延长之,分别交
于
、
两点,连接
,设
、
的面积分别为
、
.
的值;
(2)求
的值;
(3)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f036026cd92e9ad059c3f22a7658638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1907d8c2d53e40d415a64d28e601a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/f5dbfcff5c8b5d4e312a9247b2b8b0a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e07f90e126b62cace1bb0de0041d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a711bf44ed64556c72fbb0e7f42c27f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7db9b4ac9106bfaf32eba6ae265872b.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a945bf282823cb997fbdec1d53e2e0.png)
您最近一年使用:0次
2024-04-19更新
|
977次组卷
|
3卷引用:上海市闵行区2024届高三下学期学业质量调研(二模)数学试卷
名校
解题方法
2 . 已知
,曲线
、
的方程分别为
和
,
与
在第一象限内相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/d6a3207c-a7b3-478f-b066-21e25fb30664.png?resizew=179)
(1)若
,求
的值;
(2)若
,定点
的坐标为
,动点
在直线
上,动点
在曲线
上,求
的最小值;
(3)已知点
、
在曲线
上,点
、
关于直线
的对称点分别为
、
,设
的最大值为
,
的最大值为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dece47c23e53eca430269ad7b12e0891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2216525c2e569d608eaa59779d4b7c04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5a9867a4462961a98c1e5c5e00b9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca072cc62e09a771423ae1f4ceea5ba5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/d6a3207c-a7b3-478f-b066-21e25fb30664.png?resizew=179)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee4f1435f083b29366171c5f2d9334e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cfa2a6d9749a619edf80bad8b3e4962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6115df2ed89b37d9fe8a92faf7f73d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7593498eac4b57dbd2a07d941812867d.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069bfae6fbefdb44878357b98789e5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f126ffed44c65c7d4afd081776ed35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.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/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21448de9fe4710bf0d48138724832031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60436c1f7b5c2f6b5331548216e8077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f404e301cf47816f0698d4ac194ffb37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2023-12-12更新
|
405次组卷
|
3卷引用:上海市闵行区2024届高三上学期学业质量调研(一模)数学试卷
3 . 如图,已知椭圆
:
的离心率为
,
点为其左顶点.过A的直线
交抛物线
于B、C两点,C是AB的中点.
的方程;
(2)求证:点C的横坐标是定值,并求出该定值;
(3)若直线m过C点,其倾斜角和直线l的倾斜角互补,且交椭圆于M,N两点,求p的值,使得
的面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)求证:点C的横坐标是定值,并求出该定值;
(3)若直线m过C点,其倾斜角和直线l的倾斜角互补,且交椭圆于M,N两点,求p的值,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
您最近一年使用:0次
2023-06-05更新
|
934次组卷
|
5卷引用:上海市闵行区闵行中学2024届高三上学期12月月考数学试题
上海市闵行区闵行中学2024届高三上学期12月月考数学试题上海市大同中学2023届高三三模数学试题(已下线)第24讲 抛物线的简单几何性质6种常见考法归类(2)(已下线)黄金卷04上海市上海师范大学附属外国语学校2024届高三热身考试数学试卷
4 . 如图,直线
与抛物线
相交于不同的两点
,且
(
为正常数),线段
中点为
.设
是与直线
平行且与抛物线
恰有唯一交点的直线,记该交点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/14/9bc2a740-3776-480a-a51e-bb377a724648.png?resizew=218)
(1)用
表示出点
的坐标,并证明
垂直于
轴;
(2)求
的面积(只与
有关,与
无关);
(3)张三同学在完成上述两小题后,分别连接
,再作与
分别平行且与抛物线交点唯一的直线,交点分别为
,他立即写出了
的面积,由此求出了直线
与抛物线
所围成图形的面积,你认为张三能做到吗?若能,请你也求出该图形的面积;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6bd75ceb16bfdd32914cb58b9dceca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/14/9bc2a740-3776-480a-a51e-bb377a724648.png?resizew=218)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceee0ff5c929d67de3c294e027c9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceee0ff5c929d67de3c294e027c9087.png)
(3)张三同学在完成上述两小题后,分别连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675a92cad72c65aa4071b9d9e226090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e675a92cad72c65aa4071b9d9e226090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca12eff2df74418a1783a4b0ce5c9c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,直线
与抛物线
相交于不同的两点
、
,且
(
为定值),线段
的中点为
,与直线
平行的抛物线
的切线的切点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/617162a9-7660-483c-a305-ce709a94c513.png?resizew=223)
(1)用
、
表示出点
、点
的坐标,并证明
垂直于
轴;,
(2)求
的面积(只与
有关,与
、
无关);
(3)小张所在的兴趣小组完成上面两个小题后,小张连
、
,再作与
、
平行的切线,切点分别为
、
,小张马上写出了
、
的面积,由此小张求出了直线
与抛物线围成的面积,你认为小张能做到吗?请你说出理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6bd75ceb16bfdd32914cb58b9dceca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/617162a9-7660-483c-a305-ce709a94c513.png?resizew=223)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)小张所在的兴趣小组完成上面两个小题后,小张连
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830ebecddbd9759be626289c408e4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
6 . 已知直线
与抛物线
交于
、
两点,若四边形
为矩形,记直线
的斜率为
,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.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/de6c989fd224866658230526892e2bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32380e5efccb4323c09c22f544ab85b8.png)
A.4 | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知椭圆
的中心在坐标原点,且经过点
,它的一个焦点与抛物线E:
的焦点重合,斜率为k的直线l交抛物线E于A、B两点,交椭圆
于C、D两点.
(1)求椭圆
的方程;
(2)直线l经过点
,设点
,且
的面积为
,求k的值;
(3)若直线l过点
,设直线
,
的斜率分别为
,
,且
,
,
成等差数列,求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2de52259b426acb42761fec59a7748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)直线l经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908b3f2bb45d3d35e4a61fea580eb827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
(3)若直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242dc4cf2720b503e26ec8017d31444f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e769e2c4c658c63e429e5a8926666504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e653b6d645d2b9930a6f877631fc3cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f628b1103d160c21b94bfcb55ae46.png)
您最近一年使用:0次
2020-02-07更新
|
221次组卷
|
2卷引用:2016届上海市闵行区高三上学期期末质量调研(一模)(文)数学试题
名校
8 . 设直线
与抛物线
相交于
两点,与圆
:
相切于点
,且
为线段
中点,若这样的直线
恰有
条,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ee860e72cb6b101d5093a4636ff48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f189adc1be5bc38a45e834d3004afbb.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/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-08-25更新
|
976次组卷
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5卷引用:题组训练五 4.2.3 直线与圆的方程应用-2019届高中数学同步“教材变式+对接考点”题组高端训练(必修2)
9 . 设直线
与抛物线
相交于不同两点
、
,与圆
相切于点
,且
为线段
中点.
(1) 若
是正三角形(
是坐标原点),求此三角形的边长;
(2) 若
,求直线
的方程;
(3) 试对
进行讨论,请你写出符合条件的直线
的条数(直接写出结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661bd8d4d82205bd311e7349ae91f602.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/327756e0e8ef8bafb82488fa5b39547a.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/b79dd200766db27fb90d6bd1992cf658.png)
(1) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a9354a07397b21c33820fc2590e814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36b092568794a8d8f0141739ea0e4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3) 试对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab103e8410b1171dd8b36bfc662185d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2017-04-20更新
|
192次组卷
|
4卷引用:上海市闵行区2017届高三4月质量调研考试(二模)数学试题