1 . 已知点
是圆
上一点,点
是圆
上一点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb4167bbfb27d4ecbf171cd214da966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc05fedc31f9f46f04ccfb0d0fdc23f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 过抛物线
上的一点
作圆
:
的切线,切点为
,
,则
可能的取值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81338417602aa3f61f2f62a63fb1184a.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/2e6cdb2806bd5c212f64a36648553514.png)
A.1 | B.4 | C.![]() | D.5 |
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7日内更新
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3卷引用:江西省景德镇市2024届高三第三次质检数学试题
3 . 已知
双曲线
的渐近线与圆
没有公共点,
数列
中
,且
是递增数列,则p是q的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f26c9af86e44b5aa5fd6ab78f98ca3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a353d1a988596880c0a48c2303d20c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2010ed5fc31cb9e86b819a3196d23ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.充分不必要条件 | B.必要不充分条件 |
C.既不充分也不必要条件 | D.充要条件 |
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4 . 已知在矩形
中,
,
,动点
在以点
为圆心且与
相切的圆上,则
的最大值为___________ ;若
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb420defc29953c389e10bc28f9a4c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046fd6053b22ad79fcd9f4ad0e58352b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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|
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2卷引用:江西省上饶市第一中学2024届高三下学期模拟预测数学试题
5 . 已知直线
.圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401ecba0e9a7e9f5c72211bcd8d3027d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11cb7c6c09b41bc75231f45dda7918a4.png)
A.l过定点![]() | B.l与C一定相交 |
C.若l平分C的周长,则![]() | D.l被C截得的最短弦的长度为4 |
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6 . 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)
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2024-05-04更新
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2卷引用:江西省南昌市第十九中学2024届高三下学期第二次模拟考试数学试题
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7 . 写出与圆
相切且方向向量为
的一条直线的方程______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
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|
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3卷引用:江西省南昌市第十九中学2024届高三下学期第三次模拟考试数学试题
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解题方法
8 . 已知抛物线
,点
在抛物线
上,且
在
轴上方,
和
在
轴下方(
在
左侧),
关于
轴对称,直线
交
轴于点
,延长线段
交
轴于点
,连接
.
(1)证明:
为定值(
为坐标原点);
(2)若点
的横坐标为
,且
,求
的内切圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ef98b19a4b2040d0a2674210a0d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8313752eac999238a713688ec5dd94ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3111eb07acf36e3c08e8f72789ffd220.png)
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|
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3卷引用:江西省南昌市第十九中学2024届高三下学期第二次模拟考试数学试题
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9 . 复数
满足
(
为虚数单位),则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2acba428fab1522910d1e0a3948ac8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7f7d05ce239559d53810a6395bc8d1.png)
A.3 | B.4 | C.5 | D.6 |
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|
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5卷引用:江西省南昌市第十九中学2024届高三下学期第二次模拟考试数学试题
江西省南昌市第十九中学2024届高三下学期第二次模拟考试数学试题2024届浙江省丽水、湖州、衢州三地市二模数学试卷(已下线)专题04 复数的概念与运算-《期末真题分类汇编》(江苏专用)安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷安徽省六安第一中学2024届高三下学期三模数学试题
10 . 已知圆
,圆
,直线
分别与圆
和圆
切于
两点,则线段
的长度为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605717a59e1c4ee42988cd495ed9634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b283ee75ecbdc2ec6ce3bc822805ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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|
617次组卷
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2卷引用:江西省部分学校2024届高三下学期3月月考数学试题