1 . 已知过点
的直线
与圆
交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae6b62c3779911fbc432a37781dba00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb278a8366633d8e8b8f5dab1fa1c08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-10更新
|
193次组卷
|
3卷引用:河北省保定市定州市第二中学2023-2024学年高二下学期开学考试数学试题
解题方法
2 . 过三点
,
,
的圆交
轴于
,
两点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192dbe2e72330717901895e54f43c1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12875fcf35ee2756a8faec544afa4ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d346415aa22d4a5483478a7768cd8baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/7c197c71b3fbaa59d317d18b2bd98a1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知在平面直角坐标系xOy中,
,动点P满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420d464c96149bd9cb5c7b1b3548133c.png)
则P点的轨迹Γ为圆_______ ,过点A的直线交圆Γ于两点C,D,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ba05abdc8179e5ff980fb2d15ce2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420d464c96149bd9cb5c7b1b3548133c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c915b4ce31fabfd4703c547291ad9277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a3363fbd9527e8aef45af8b302d01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
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4 . 直线
将圆
分成两段,这两段圆弧的弧长之比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d74fc4462668bc7b7571de96a1b044.png)
A.1:2 | B.1:3 | C.1:5 | D.3:5 |
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5 . 如图,已知等腰三角形
中,
是
的中点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/9b855538-c254-4a4e-90f7-79537ae0e960.png?resizew=155)
(1)求点
的轨迹
的方程;
(2)设
所在直线与轨迹
的另一个交点为
,当
面积最大且
在第一象限时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90dc865781ebfe38b4a75d5184a8956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6528d92c5f498ee77313aa1a26b26f93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/9b855538-c254-4a4e-90f7-79537ae0e960.png?resizew=155)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20f06223d77de2f5a26fd68828ce886.png)
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6 . 已知直线
与圆
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddda4a114ad65d7ce5fd1eaed1415ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc12c55f2676aeb4f696f4a84e4d65b.png)
A.直线恒过定点![]() |
B.直线![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若直线![]() ![]() ![]() |
您最近一年使用:0次
2024-03-07更新
|
723次组卷
|
2卷引用:云南省文山州广南县第十中学校2023-2024学年高二下学期3月月考数学试题
名校
解题方法
7 . 已知圆
的圆心坐标为
,则关于圆
的说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e7241d84b4f045a6f551bf7aa7f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() |
B.圆![]() ![]() |
C.直线![]() ![]() ![]() |
D.圆![]() ![]() ![]() |
您最近一年使用:0次
2024-03-07更新
|
235次组卷
|
2卷引用:云南省昭通市一中教研联盟2023-2024学年高二上学期期末质量检测数学试题(A卷)
名校
解题方法
8 . 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)
您最近一年使用:0次
9 . 公元前3世纪,古希腊数学家阿波罗尼斯在《平面轨迹》一书中证明了平面内到两定点距离之比为常数
的点的轨迹是圆,这个圆被称为阿波罗尼斯圆.在平面直角坐标系
中,
,动点Q满足
,设动点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)直线
与曲线
交于
两点,若
,从中任选一个
值,求此时相应的弦长
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b991d4173297923de7c4c1fa48bfae61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19184d355e024a0a605c2902b795d1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f942ed2e46bf6471c2e04add7b4292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416cbc680f2d58fe447f2c90039647f3.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/9116a0e0249613fff5ff28c7ee5e60a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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10 . 直线
被圆
截得的弦长为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cd0060668c52dc0b541e9149908192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c283fb57b384c7bbe0911d37eb9cd714.png)
您最近一年使用:0次