名校
解题方法
1 . 已知i为虚数单位,若复数
满足
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40351d6099f5f61ddefbac620493046b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab84fc5e5a4823e41a03da7740afcc7.png)
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2 . 古希腊著名数学家阿波罗尼斯发现:若动点M与两个定点A,B的距离之比为常数
(
,
),则点M的轨迹是圆.后来,人们将这个圆以他的名字命名,称为阿波罗尼斯圆,简称阿氏圆.已知
,M是平面内一动点,且
,则点M的轨迹方程为________ .若点Р在圆
上,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472393b18c7880e73b40e31fbe2d951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1e68a8b84c7062f763dd06beef5383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28ad58f426c58a9b2b89be292191dc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f817d5f7090558cffccf8c3cd82c0493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d183e00fa84e9df65c1e90d6b647c872.png)
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名校
3 . 点
为圆
上的动点,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245337d54a26beb62e5fb3fcc4d4db23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
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2024-06-03更新
|
942次组卷
|
2卷引用:福建省龙岩市上杭县第一中学2024届高三下学期5月数学模拟试题
解题方法
4 . 已知圆
:
,直线
:
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ee745282e1b47f06074eac4bfa70a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5e1737bf9f2bb816a087336a61717a.png)
A.直线![]() ![]() |
B.圆![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.直线![]() ![]() ![]() ![]() |
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5 . 已知圆
的圆心在直线
上且圆
与
轴相切于点
.
(1)求圆
的方程;
(2)已知直线
与圆
相交于
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0753faff5110d43ff3d407f37192ddf9.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/99296bab1b42898e7ca336a822510258.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ca7c2ecfa67cbbec8889e49950b2df.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
6 . 已知圆
与圆
相交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4a7b464eff3acb3d721e1ab7c7d80.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1834e5fb7e508b2529f1f6cd4256f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773385a7b43d5376bfa2f54e9f036f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4a7b464eff3acb3d721e1ab7c7d80.png)
您最近一年使用:0次
2024-04-01更新
|
718次组卷
|
2卷引用:福建省福州格致中学2023-2024学年高二下学期3月限时训练(月考)数学试卷
解题方法
7 . 若圆
与圆
外切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f696f360654d17c0b26f89bfbd76ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852f8adbd4f6938db6f80880f31b70ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd34eda66afc688494af1f8ca5704667.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 直线
过定点Q,若
为圆
上任意一点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0368e303a0837a4b7c893ec87d9845a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db078760974c0b1d214dcf4924dacb40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
A.1 | B.3 | C.4 | D.2 |
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解题方法
9 . 已知抛物线
的焦点为
,点
在抛物线上.若点
在圆
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76426b7e71f15f6e801b00d1f72b1030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9724e01a444f3110b580865f9df96f23.png)
A.5 | B.4 | C.3 | D.2 |
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10 . 在平面直角坐标系
中,整点
(横坐标与纵坐标均为整数)在第一象限,直线
,
与圆
:
分别切于
,
两点,与
轴分别交于
,
两点,则使得
周长为
的所有点
的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41220b7346be5c617024e96aa4b98002.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/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/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eab3d06d16dfefcd303b1d07801ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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