1 . 动直线l:
被圆C:
截得弦长的最小值为______________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de24e3d618264806ab785a935f644900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5058b31a3cd6b32597be35a64950b9b7.png)
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2024-04-22更新
|
652次组卷
|
2卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试(理科)数学试题
名校
2 . 已知曲线
在
处的切线
与圆
相交于
、
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bd98a7eb694834e2797aed798e7ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451685559d39b6bdd62480e90fba48ca.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/d103d683d2fd06b6fa9ec5523c2ea0c9.png)
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2024-04-08更新
|
1069次组卷
|
4卷引用:四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期4月数学滚动检测卷
四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期4月数学滚动检测卷湖南省常德市2024届高三下学期3月模拟考试数学试题 (已下线)模块五 专题5 全真拔高模拟5(苏教版高二期中研习)福建省厦门市厦门外国语学校2024届高三下学期模拟考试数学试题
3 . 直线
与圆
相交于
两点,且
,则实数
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19efd2f2662ca444c784b69e35f53120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2024-04-04更新
|
386次组卷
|
2卷引用:四川省眉山市仁寿第一中学校南校区2023-2024学年高二下学期3月月考数学试题
名校
解题方法
4 . 已知双曲线
的离心率为
,C的一条渐近线与圆
交于A,B两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f232a34711a14a99116248495526.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab821096dca880730ed3cadc2497a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f232a34711a14a99116248495526.png)
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名校
解题方法
5 . 已知曲线
关于直线
对称,若直线
被曲线截得的弦长为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfeadd5aa20a6d32de1b8da52aa9acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae077b198c3e6a891ca7c5eb6d53482a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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2024-01-31更新
|
184次组卷
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2卷引用:四川省内江市第六中学2023-2024学年高二下学期入学考试数学试题
6 . 已知直线
,动直线
被圆
截得弦长的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a1a650edf276e4d8a98f68eb10ac12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa2b46e00b2988f35107b9e378a3400.png)
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2024-03-19更新
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300次组卷
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2卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试数学(文科)试题
名校
解题方法
7 . 写出经过坐标原点,且被圆
截得的弦长为
的直线
的方程__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a160c78f124d6ed7f2d2fb62d0d524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2024-03-12更新
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329次组卷
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2卷引用:四川省成都外国语学校2023-2024学年高三上学期期末考试理科数学试题
8 . 已知直线
,
,圆
,则直线
截圆
所得弦长
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768c28b763533923dfa532eb5635f4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1a0d6d9bd895f00222199cf09d9073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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9 . 已知圆
内有一点
,过
的直线与圆
交于
两点,与线段
交点为
的直线交圆
于
两点,
,且总满足
在以
为直径的圆上,则四边形
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a62c9695f5a1691c5fe8724fa764b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134fc3507b06c25a6cdf06b7ae11f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c593ebdb2f1934a0cb56f8c44f454f8.png)
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10 . 已知直线
与圆
相交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5d58c8c55fc8dac4fcdf3221300316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f62686f6f9118291c444a8d5a4d0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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2023-12-07更新
|
1111次组卷
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3卷引用:四川省绵阳市南山中学实验学校2023-2024学年高二上学期期末模拟数学试题(五)