名校
解题方法
1 . 已知点
、
,直线
:
与
:
交于点M,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7078a4e8e927c163c7f98e66759c9834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cab5c6534e43f0ecc54a311a16df80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28ca834c4815b2e7650993bdafe2c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c4f23cba61f93669dc04005d54ffd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
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解题方法
2 . “曼哈顿距离”是人脸识别中的一种重要测距方式,其定义如下:设
,
,则
,
两点间的曼哈顿距离
已知
,点
在圆
上运动,若点
满足
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.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/79c04bbc507d8f917da5253fca7f2c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a5862f87bdbd8d6c653905cddb9900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f6ae1c2a81078eac5ed2f4f823b671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b83e2fc66e8ab0e6f60a1790cea6c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de86d9c0675d246a280f6b71a68aaf9d.png)
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解题方法
3 . 若圆
与
轴相切,且圆心坐标为
,则圆
的方程为( )
![](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/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . “曼哈顿距离”是人脸识别中的一种重要测距方式,其定义如下:设
,则
两点间的曼哈顿距离
,已知
,点
在圆
上运动,若点
满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c913b3abbf53d81fcf25bf83d4ae3756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a5862f87bdbd8d6c653905cddb9900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f6ae1c2a81078eac5ed2f4f823b671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab532914fa900b7547d03e98572f1a44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de86d9c0675d246a280f6b71a68aaf9d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知
,
,
为原点,则
的外接圆方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f3cd3027a533dd07220f161c958602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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6 . 对任意的实数, 圆
上一点到直线
的距离
的取值范围为
您最近一年使用:0次
2024-03-03更新
|
205次组卷
|
2卷引用:四川省成都市2023-2024学年高二上学期期末校级调研联考数学试题
解题方法
7 . 已知圆
:
,直线
:
.
(1)证明:直线
恒过定点.
(2)设直线
交圆
于
,
两点,求弦长
的最小值及相应
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc2b99ca733bb0ff5d0156ffac4e7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ee8395377f9f7352394fda622cc846.png)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 数学美的表现形式不同于自然美或艺术美那样直观,它蕴藏于特有的抽象概念,公式符号,推理论证,思维方法等之中,揭示了规律性,是一种科学的真实美.平面直角坐标系中,曲线
就是一条形状优美的曲线,对于此曲线,下面结论正确的是:( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c5e4e64206f45f0c9074248a61c93.png)
A.直线![]() ![]() |
B.曲线![]() ![]() |
C.曲线![]() ![]() |
D.曲线![]() |
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9 . 已知圆C的方程为
,则圆C的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586631cf97f1d2a17f5c5b7601651ebf.png)
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2024-02-23更新
|
318次组卷
|
2卷引用:浙江省慈溪市2023-2024学年高二上学期期末测试数学试卷
23-24高二上·全国·单元测试
10 . 当点P在圆
上运动时,连接点P与定点
,则线段
的中点M的轨迹方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e01e7ca03e2e7687d50c05cded9a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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