名校
1 . 过点
作圆
与圆
的切线,切点分别为
、
,若
,则
的最小值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70feca8eac775ebee7b6d9760e2be6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584d42796f88188fe784021f8f24e972.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/1f30acc34f4ee1077532ae6808af2ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
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2 . 用一个圆心角为
,面积为
的扇形
(
为圆心)围成一个圆锥(点
恰好重合),该圆锥顶点为
,底面圆的直径为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62ea41785fef55d1c361fa846fb2fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a848fbdadf9fab0465123b8ee7ad3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e17dc84ba2e871aeb3a3fd2a2b5f1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad47a17c89e4e699784521eeada049bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a172ce53dededddb00a3817c8615261.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-10-14更新
|
710次组卷
|
3卷引用:湖南省怀化市2022-2023学年高二上学期期中数学试题
3 . 圆锥曲线的弦与过弦端点的两条切线所围成的三角形叫做“阿基米德三角形”.如图
是抛物线
的阿基米德三角形,弦AB经过焦点F,又BC,AD均垂直于准线l,且C,D为垂足,则下列说法正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/c7b441ca-c7e6-49af-ba2d-577fd2396741.png?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b527ec9f92467b8f24554a2a67ee987.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/c7b441ca-c7e6-49af-ba2d-577fd2396741.png?resizew=149)
A.以AB为直径的圆必与准线l相切于M点 |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
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2023-03-01更新
|
1193次组卷
|
5卷引用:湖南省衡阳市第八中学2022-2023学年高二上学期期中模拟数学试题
湖南省衡阳市第八中学2022-2023学年高二上学期期中模拟数学试题广东省揭阳市普宁市华美实验学校2022-2023学年高二下学期期中数学试题浙江省杭州市学军中学2022-2023学年高二下学期3月月考数学试题(已下线)第24讲 抛物线的简单几何性质6种常见考法归类(1)(已下线)专题1 千年古图 巧用定理 练
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解题方法
4 . 若数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e756deda1bd1b1079d74f41744e0abc4.png)
(1)求
及
的通项公式;
(2)若
,数列
的前n项和
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e756deda1bd1b1079d74f41744e0abc4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7af81b8983a36debb3c1f6339a6eeef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a60fab9ac1eb590b1e3a9b1567f570.png)
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5 . 已知数列,下列结论正确的有( )
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-03-01更新
|
767次组卷
|
5卷引用:湖南省衡阳市第八中学2022-2023学年高二上学期期中模拟数学试题
名校
6 . 过
作圆
的切线,切点为A,B,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22581284c84df86a5aaf8259afdc2726.png)
A.![]() | B.![]() |
C.直线AB的方程为![]() | D.![]() |
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解题方法
7 . 如图,已知点
,圆
与x轴的负半轴的交点是Q,过点P的直线l与圆O交于不同的两点A,B,交y轴于点C.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/46bd1e1a-186e-4b7c-a776-aa092af526a1.png?resizew=169)
(1)若
,求直线l的方程.
(2)设
的中点为M,若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88659e1bac79840020d4494440cfb8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/46bd1e1a-186e-4b7c-a776-aa092af526a1.png?resizew=169)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4845cef535b1bfb6ccd2f88a2cf7018.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02ab702277045fab17eae3e74dd627a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e8c7968d57d2a20065a7cb15c9b4eb.png)
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8 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6299a05866e046e3cdeff66b77ef2f4.png)
A.函数图像关于y轴对称 |
B.当![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() |
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9 . 设
的内角A,B,C的对应边分别为a,b,c,已知
.
(1)证明:
.
(2)已知
,当
外接圆面积最小时,求B.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75de34db834da879ca466cf44c566da8.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd8143e97fa46c2c489ebbc704a0611.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2eb41913d12742fa72f7d29da3c295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 若点O是锐角
的垂心,且
,则
的面积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c4cc3623bbea5616468881575fe38f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次