1 . 若直线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92b523ec5f3b5dee43321573086cc4b.png)
A.![]() ![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() ![]() |
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2024-03-02更新
|
150次组卷
|
2卷引用:贵州省黔东南州2023-2024学年高二上学期期末检测数学试题
解题方法
2 . 已知直线
,圆
.
(1)若直线
与圆
无公共点,求实数
的取值范围;
(2)若直线
与圆
交于
两点,且
(
为圆
的圆心)为直角三角形,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe62179f390ac52b07d2a28ff369b855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbf4bae9540d802d277336722d7500.png)
(1)若直线
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . “白日登山望烽火,黄昏饮马傍交河.”这是唐代边塞诗人李颀的《古从军行》中的诗句,诗句中隐含着一个著名的数学问题——“将军饮马”问题,即将军白天察看烽火台之后,从山脚下的某处返回军营,途中须到河边饮马然后再赶回军营,将军怎样走才能使返回总路程最短?已知在平面直角坐标系中,军营所在位置为坐标原点
,将军从山脚下的点
处出发返回军营,河岸线所在直线方程为
.则返回总路程最短为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
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解题方法
4 . 如图所示的粮仓可近似为一个圆锥和圆台的组合体,且圆锥的底面圆与圆台的较大底面圆重合.已知圆台的较小底面圆的半径为1,圆锥与圆台的高分别为
和3,则此组合体的外接球的体积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f322feb3814b978ac74168d97eb1ccd9.png)
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解题方法
5 . 已知直线
和直线
互相垂直,则实数
等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dfb1a824426561f8d0f3194f2ad150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f492b71f9e2bd65f2ef2943ad77a1ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 圆
与圆
相交于
两点,则线段
的垂直平分线的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7f98a1dfd896d838f929b7b5e14f6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb78775d0d34bdaa4943c3c04c855f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 直线l:
和圆C:
交于A,B两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb90fbbf3fe28dc2c16eab95e97210a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc4c34d75e14df81f4692e31492a6a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 设两圆
,
(圆心不重合)都与两坐标轴相切,且都过点
,则两圆圆心的距离
( )
![](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/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4819e538d696e26adcbadb2ee55925b1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知直线
过点
,且倾斜角为直线
倾斜角的一半,则直线
的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 圆
与圆
的公共弦长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30093078a92ef2c2d79ab24d82b7b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d216d413071e1a06f8fdec87602e85.png)
您最近一年使用:0次