解题方法
1 . 已知抛物线
:
的准线为
,
,点
是
上任意一点,过
作
,垂足为
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f94c4f6b762fddb0e313050ef6932eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa145a3e4f18f784ddf4869e0bf904c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d079d5337a3f87c6e559a1a9f8cf1e35.png)
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名校
解题方法
2 . 将一个棱长为1的正方体放入一个圆柱内,正方体可自由转动,则该圆柱体积的最小值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-25更新
|
559次组卷
|
3卷引用:辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题
3 . 已知
,
,且
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74797a535ce8ec2c023c4cdf3cc358c1.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() |
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4 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d42f4cfe34eed478d0137930fbcdd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6aadb65f85356ce648861db2d3217a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 如图,在直四棱柱
中,底面
为矩形,且
,
,
,
为棱
的中点.
(1)求
到
的距离;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/9f27dc33-9bb2-4d5e-9cee-d8459602d034.png?resizew=106)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f488b85184d4e9d5fc9ccd0cfda8c5.png)
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解题方法
6 . 如图,在边长为4的正方形
中,点
是正方形
外接圆上任意一点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2a2a843ec6b1973068444b19b0616.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/2a340d5e-9c52-4ed6-a6a3-d5905f99521c.png?resizew=150)
您最近一年使用:0次
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7 . 已知椭圆
:
(
)过点
,直线
:
与椭圆
交于
,
两点,且线段
的中点为
,
为坐标原点,直线
的斜率为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1721aa6b62fc4c68cb7161f2658117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe22d0cee40ad652466d25d9e7c9264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
A.![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-27更新
|
661次组卷
|
5卷引用:辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题
名校
8 . 已知函数
若函数
有5个不同的零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc26f325087c4f13d5e5b7126a2dd95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add33a47cfb84d1140f852fa6e498f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-27更新
|
1468次组卷
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3卷引用:辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题
名校
解题方法
9 . 在
中,若
,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb87aaeb42d3b44f01cb216145604f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.钝角三角形 | B.直角三角形 |
C.锐角三角形 | D.等边三角形 |
您最近一年使用:0次
2023-11-27更新
|
666次组卷
|
5卷引用:辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题
辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题江苏省徐州市沛县湖西中学2024届高三第一次学测模拟数学试题(已下线)专题13 余弦定理、正弦定理的应用-【寒假自学课】(苏教版2019)(已下线)专题6.6 解三角形-举一反三系列(已下线)专题03 解三角形问题总结-《期末真题分类汇编》(江苏专用)
10 . 已知复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd69e2ceaf80903f603c969231aa71c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
2023-11-27更新
|
190次组卷
|
3卷引用:辽宁省本溪市第一中学2023-2024学年高二上学期11月期中考试数学试题