1 . 已知直线
与抛物线
交于
两点,且
.
(1)求抛物线
的标准方程;
(2)若点
,求
外接圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385cd2fe95ca8875c9bbbb77a9fb7cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3151eaa237654c6e110e36a1510196fd.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32af1da88a0323514e5ab888f449117f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
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解题方法
2 . 已知圆
关于直线
对称,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d6d0a046281db9a588d76b4fc2199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61353d7806a2153b6e49e61f6a4593c.png)
A.圆![]() ![]() | B.圆![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-05-05更新
|
569次组卷
|
3卷引用:2024年新高考Ⅰ卷浙大优学靶向精准模拟数学试题(三)
名校
3 . 已知圆
,若对于任意的
,存在一条直线被圆
所截得的弦长为定值
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117d7c630adc6fcb867e63b42a5af84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
您最近一年使用:0次
2024-05-04更新
|
906次组卷
|
2卷引用:2024届浙江省丽水、湖州、衢州三地市二模数学试卷
2024·全国·模拟预测
4 . 已知直线
与圆
交于
两点,且劣孤所对的扇形
的面积为
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56a9622cef68133c669def04ce4938c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838fe814b9dad1597ef8cd49fa8d06c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf468f5132e14ee1d8cc766808b11af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf1f865bafd4a820406d336d99f8091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.1 | D.4 |
您最近一年使用:0次
2024·全国·模拟预测
解题方法
5 . 过点
引圆
:
的两条切线,切点分别为
,
.若
,则过
,
,
三点的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.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/343310a9559753f54c15e84d26faa96d.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)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
6 . 已知圆
过点
,则
的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad62391d4128a9ab917ffce9b2ebfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
解题方法
7 . 经过
,
,
三个点的圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c59f0e35b7ae5206e45878934482b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98ef6b26186130f8d88c66d3b3c78fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知
,过点
恰好只有一条直线与圆E:
相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ ,该直线的方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bdb225f362f150791f7483a96a18d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7312c19269a2073277bd07b9b2f4912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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解题方法
9 . 已知点
分别是抛物线
和圆
上的动点,若抛物线
的焦点为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce57ee60a8cd96ec9f44253ef8980022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bde83919c599dd8c17ddf7b27db1a82.png)
A.6 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知直线,圆
,当直线
被圆
截得的弦最短时,
的方程为( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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