名校
解题方法
1 . 在正三棱锥
中,
两两垂直,
,点
是侧棱
的中点,
在平面
内,记直线
与平面
所成角为
,则当该三棱锥绕
旋转时
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8759e236bed05ad831f89f66070a477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.53° | B.60° | C.75° | D.89° |
您最近一年使用:0次
解题方法
2 . 已知双曲线E:
的左、有焦点分别是
,
离心率为2,过右焦点
的直线交双曲线E的右支于A,B两点,
的内切圆圆心为M,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3707ed18a4908434882eaf83aea091.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd8065fd9fe33e0b71d5933909f5c0.png)
A.双曲线E的渐近线方程为 ![]() |
B.直线![]() |
C.![]() |
D.M在定直线上 |
您最近一年使用:0次
名校
3 . 如图,正三棱柱
的各棱长均为
,点
和点
分别为棱
和棱
的中点,先将底面
置于平面
内,再将三棱柱绕
旋转一周,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/a2e9b3a9-9fd0-449b-8237-b02f00938a56.png?resizew=200)
A.设向量![]() ![]() ![]() |
B.点![]() ![]() |
C.设![]() ![]() ![]() ![]() ![]() |
D.直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
4 . 如图,正方体
的棱长为
是棱
的动点,则下列说法正确的( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/77441c7e-9500-4c1d-84ea-33fdbee3a98f.png?resizew=158)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d362c11740a95c6d7a5250a72bccc71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/77441c7e-9500-4c1d-84ea-33fdbee3a98f.png?resizew=158)
A.若![]() ![]() ![]() ![]() |
B.三棱锥![]() ![]() |
C.为![]() ![]() ![]() ![]() |
D.过点![]() ![]() |
您最近一年使用:0次
名校
解题方法
5 . 如图,在四棱锥
中,底面
是边长为2的正方形,
面
,
,点E是棱
上一点(不包括端点),F是平面
内一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcac3b256b269b824d8738bb081f8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
A.一定不存在点E,使![]() ![]() |
B.一定不存在点E,使![]() ![]() |
C.以D为球心,半径为2的球与四棱锥的侧面![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-03-06更新
|
318次组卷
|
3卷引用:浙江省临平萧山联考2023-2024学年高二上学期期末数学试题
名校
解题方法
6 . 已知抛物线
的焦点
到准线
的距离为2,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.过点![]() ![]() |
B.若![]() ![]() ![]() |
C.直线![]() ![]() |
D.抛物线![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 在正方体
中,
,点
满足
,其中
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f265a9f6a80157744ca09248f9bd6898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e2e01346f60857ff635bb766802e57.png)
A.当![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-03-03更新
|
960次组卷
|
5卷引用:湖南省长沙市湖南师范大学附属中学2023-2024学年高二下学期入学考试数学试题
8 . 已知椭圆C:
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/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a1baa2dbbdb3bca1776d10b288cd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73533688e2820dacba2199ba6087bd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876f208635a511c8dc89da1dad21c868.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
名校
解题方法
9 . 已知F为抛物线
的焦点,M,N,P,Q是C上四个不同的动点,满足直线
,
过F,其中M,P在第一象限,若直线
与x轴的交点为
,
,
,
,
的面积分别为
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90be0db8c2f6610ee002461f45cdab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322b7fc53308233b59dce017d044c3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6f426b792991048b55d4cfaddb6ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7b3c1d0057c4b0405f28b48043d9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce74b3d06976675398a88cee8064fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
A.![]() ![]() | B.直线![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-03更新
|
193次组卷
|
2卷引用:江西省部分重点中学2023-2024学年高二上学期期末联考数学试题(A卷)
名校
解题方法
10 . 如图,在棱长为1的正方体
中,M,N分别是
,
的中点,
为线段
上的动点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
A.![]() |
B.存在点![]() ![]() |
C.直线![]() ![]() ![]() |
D.过M,N,P三点的平面截正方体所得截面面积的最大值为![]() |
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2024-03-03更新
|
1414次组卷
|
4卷引用:江苏省南通市海门中学2023-2024学年高二下学期3月阶段练习数学试卷