名校
解题方法
1 . 已知A,B分别为曲线
和直线
上的点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64556964e96afd3147146c840157a6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b3ba8cc918cbc35312705dd2647bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2 . 已知
是抛物线
:
的焦点,
,
是
上不同的两点,
为坐标原点,若
,
,垂足为
,则
面积的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0261104a7c308433a0c0508ff20ea29a.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd6ec8fa1147280a0eaba74744b2d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ce6d23fb52cc513580a8f0e6760c2.png)
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3 . 已知双曲线
的左、右焦点分别为
,
,左、右顶点分别为
,
,
为坐标原点,直线
交双曲线
的右支于
,
两点(不同于右顶点),且与双曲线
的两条渐近线分别交于
,
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bef93a53a2004910a8cac32f93c4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/1dde8112e8eb968fd042418dd632759e.png)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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)
A.![]() |
B.![]() |
C.点![]() ![]() |
D.不存在直线![]() ![]() |
您最近一年使用:0次
2024-05-08更新
|
831次组卷
|
3卷引用:山西省天一名校2023-2024学年高三下学期联考仿真模拟(二模)数学试题
名校
4 . 平面几何中有一定理如下:三角形任意一个顶点到其垂心(三角形三条高所在直线的交点)的距离等于外心(外接圆圆心)到该顶点对边距离的2倍.已知
的垂心为D,外心为E,D和E关于原点O对称,
.
(1)若
,点B在第二象限,直线
轴,求点B的坐标;
(2)若A,D,E三点共线,椭圆T:
与
内切,证明:D,E为椭圆T的两个焦点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24e12c97516329a6776fe48c450d93b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c8ef6f3640bd70e40f3b591c8bcc14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b45db8dd8768994af51206565379fd.png)
(2)若A,D,E三点共线,椭圆T:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-08更新
|
1129次组卷
|
5卷引用:山西省晋城市2024届高三第三次模拟考试数学试题
解题方法
5 . 已知
分别为双曲线
的左、右焦点,过
作双曲线
的一条渐近线的垂线,垂足为
为坐标原点,若
,则双曲线
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4411b37e8ed03b1841906af3bf912f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9678ba27f0fd28b87a8430497596730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知
是坐标原点,若圆
上有且仅有2个点到直线
的距离为2,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1686231d0f6ec2943ac93f928f8c338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0947dc8f5ba116aaf3239d66adc7474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 已知抛物线
:
,
为
上一点,
,
,当
最小时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0261104a7c308433a0c0508ff20ea29a.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/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42ba0afbfc0d511a7e27a69a687525f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255b03f01d1039f11f5a3ba36bce5789.png)
A.![]() | B.![]() | C.![]() | D.18 |
您最近一年使用:0次
名校
解题方法
8 . 已知点P为直线
与直线
的交点,点Q为圆
上的动点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a7865d4b40c5ac8dcd8aa6524d8120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f0a7685af40c8648c8a0295fc15524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4285651480b7cc892a16b03c321f5afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
808次组卷
|
3卷引用:山西省朔州市怀仁市第一中学校2024届高三下学期第四次模拟考试数学试题
名校
9 . 已知圆
,直线
是直线
上的动点,过点
作圆
的切线
,切点为
,则当切线长
取最小值时,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0887c01e30bed3f4d782b38bfd789dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b633223c4732ab20661a8850e50634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272ba94bfb6c8d71049db4b8e07d331a.png)
A.![]() | B.点![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-13更新
|
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2卷引用:2024届山西省平遥县第二中学校高三冲刺调研押题卷数学(三)
10 . 已知抛物线
的焦点为
,顶点为
,
上一点
位于第二象限,若
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432910a76a96d21b2c2245ab876ac4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4449420b0e11388bbce9e0ed0597d477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
A.2 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-07更新
|
419次组卷
|
4卷引用:山西省晋城市第一中学校2024届高三下学期高考模拟预测数学试题