名校
1 . 已知曲线
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6567908622a20195c8423d1a3682b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211bb9d7aadd19ea6593f3bddcc6205b.png)
A.存在![]() |
B.存在![]() |
C.若C为椭圆,则![]() |
D.若C为双曲线,则![]() |
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2 . 已知过点
的直线
分别与圆
交于
两点(点
在
的上方)和
两点(点
在
的上方),且四边形
为等腰梯形,若
,则梯形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9312779f52e65b3f9ba4716eeaa6c9e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccf7f8ca3529ce5841854c336f8bbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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3 . 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
4 . 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.![]() ![]() |
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2024-05-05更新
|
579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)
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.![]() ![]() |
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2024高三·全国·专题练习
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6 . 已知圆
的面积为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca75bac2fcee38ed2ad353ab669b107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知圆
与圆
相内切,则实数a的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c50969d52579a90d3367869ab55a2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
您最近一年使用:0次
2024-04-19更新
|
292次组卷
|
2卷引用:江苏省南京市南京师范大学附属中学2023-2024学年高二下学期期中考试数学试卷
名校
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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2024-04-18更新
|
529次组卷
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2卷引用:河北省邢台市2024届高三下学期教学质量检测(一)数学试题
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.![]() |
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10 . 已知圆
,圆
,若两圆相交,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a95d4410057fc3f91d29562e389199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb59aa4b477b6d2b9934e6842be1303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-04-01更新
|
348次组卷
|
3卷引用:上海市浦东新区2024届高三下学期期中教学质量检测数学试卷
上海市浦东新区2024届高三下学期期中教学质量检测数学试卷上海市吴淞中学2023-2024学年高二下学期第二次调研(5月)数学试卷(已下线)专题02 圆锥曲线--高二期末考点大串讲(沪教版2020选修)