名校
解题方法
1 . 已知
的方程是
,直线l经过点
.
(1)若直线l与
相切,求直线l的方程;
(2)若直线l与
相交于A,B两点,与直线
交于点M,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7543db5e900aa545e5ac2f0d49f33e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
(1)若直线l与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
(2)若直线l与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2416b191869373bfca8f6203a9ebdeb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb0beb9ac166da2836960b640598459.png)
您最近一年使用:0次
2022-10-12更新
|
1020次组卷
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6卷引用:河北省故城县高级中学2022-2023学年高二上学期第一次月考数学试题
名校
解题方法
2 . 已知圆
和
.
(1)求证圆
和圆
相交;
(2)求圆
和圆
的公共弦所在直线的方程和公共弦长;
(3)求过点
且与圆
相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f8c90a4d54afc9f671ba7114d96cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7f5b5bb7879e5f4c688069f20882d.png)
(1)求证圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(3)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6486371be203782f296e050963b3235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2021-11-27更新
|
972次组卷
|
4卷引用:河北省邯郸市大名县第一中学2021-2022学年高二上学期第二次月考数学试题
河北省邯郸市大名县第一中学2021-2022学年高二上学期第二次月考数学试题江苏省无锡市第一女子中学2021-2022学年高二上学期期中数学试题(已下线)第2章 圆与方程 单元综合检测(难点)圆与圆的位置关系
3 . 已知圆
和点
.
(1)过
作圆
的切线,求切线的方程;
(2)过
作直线
交圆
于点
,
两个不同的点,且
不过圆心,再过点
,
分别作圆
的切线,两条切线交于点
,求证:点
在同一直线上,并求出该直线的方程;
(3)已知
,设
为满足方程
的任意一点,过点
向圆
引切线,切点为
,试探究:平面内是否存在一定点
,使得
为定值?若存在,请求出定点
的坐标,并指出相应的定值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7adf1aef1199f7271771d56a83ac6c38.png)
(1)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a76954886afb825382f5fdece6fcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7393128266223f2248f70eb9f8b127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fce564bd898ee14b70791f5fccbcc0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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解题方法
4 . 已知抛物线
的焦点到准线的距离为
,直线
与抛物线
交于
两点,过这两点分别作抛物线
的切线,且这两条切线相交于点
.
(1)若
的坐标为
,求
的值;
(2)设线段
的中点为
,点
的坐标为
,过
的直线
与线段
为直径的圆相切,切点为
,且直线
与抛物线
交于
两点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315ade6f1c078456b174d1fa56a65ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8eeed3a72ee4d09de43f08093507fa7.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba1040ad8661ff82dd56e31299cc73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4e3360154d6957e226304186310033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde877312a498fee022fb74efb1e2931.png)
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2017-12-08更新
|
463次组卷
|
2卷引用:河北省邢台市2017-2018学年高二上学期第三次月考数学(文)试题
5 . 已知椭圆
,过点
作圆
的切线,切点分别为
.直线
恰好经过
的右顶点和上顶点.
(1)求椭圆
的方程;
(2)如图,过椭圆
的右焦点
作两条互相垂直的弦
,
.
①设
中点分别为
,证明:直线
必过定点,并求此定点坐标;
②若直线
,
的斜率均存在时,求由
四点构成的四边形面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51be38237df3982ee2615a2e20830e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502130506a08a4e04f179e69d3624367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cc4adb3a12d91ecf32e47429c45af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(2)如图,过椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28d2790a97390935125aa897417f970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999cb0e818df34be2c40f205ea6c6b7c.png)
您最近一年使用:0次
2017-02-08更新
|
1403次组卷
|
5卷引用:2017届河北省衡水中学高三下学期第四周周测数学(理)试卷