名校
解题方法
1 . 在长方体
中,
,点P为线段
上一动点,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/a14b54846a2b813293fbc6b201c69707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecad355286188fd317939fa50f9555.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.三棱锥![]() ![]() |
D.直线![]() ![]() ![]() |
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昨日更新
|
424次组卷
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2卷引用:安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题
名校
解题方法
2 . 如图,在正方体
中,
为
的中点.
‖平面
;
(2)
上是否存在一点
,使得平面
‖平面
?若存在,请确定点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c241f900cb6ed341c137a3d71216a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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名校
解题方法
3 . 如图,在直四棱柱
中,四边形
为等腰梯形,
,
,
,点E是线段
的中点.
平面
;
(2)求证:
平面
.
![](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/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a266a892baf8eaaf081367e478f52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce06dbe9e1177468781ba4aff85ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebab9004061a7663c35b3f78c60c16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9836949f7896f7b329ec653225a4c765.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
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2024-06-18更新
|
892次组卷
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3卷引用:安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题
安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题安徽省安庆市、桐城市名校2023-2024学年高一下学期5月期中调研数学试题(已下线)专题08 立体几何大题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
名校
解题方法
4 . 如图,在四棱锥
中,
平面
,底面
是平行四边形,
,
为
的中点,
,
.
与平面
所成角的正弦值;
(2)求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915e8e775538d41debf1933102c6b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07bbfa04efa012c7907c2cbc00a40c8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b7f285cc55bbe5bf873538ba87230.png)
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2024-06-17更新
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750次组卷
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3卷引用:安徽省阜阳市太和中学2023-2024学年高一下学期期中教学质量检测数学试题
安徽省阜阳市太和中学2023-2024学年高一下学期期中教学质量检测数学试题(已下线)核心考点7 立体几何中角和距离 B提升卷 (高一期末考试必考的10大核心考点)河北省沧州市部分学校2023-2024学年高一下学期5月联考数学试题
5 . 已知正四棱台的上、下底面的边长分别为1和3,若该正四棱台的体积为
,则侧棱长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5151c184a17ef0cfd7b595a0c9d4152c.png)
A.![]() | B.2 | C.![]() | D.![]() |
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2024-06-17更新
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404次组卷
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2卷引用:安徽省阜阳市太和中学2023-2024学年高一下学期期中教学质量检测数学试题
名校
解题方法
6 . 如图,在
中,
,
为
的中点.将
沿
翻折,使点
移动至点
,在翻折过程中,当
时,三棱锥
的内切球的表面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4957406b21df59fdf7fa184752287b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31a0784b7da3b540019ec11a1aa7c21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52753d89bf58589e2e83b19bd3d140b8.png)
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2024-06-16更新
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2卷引用:安徽省阜阳市太和中学2023-2024学年高一下学期期中教学质量检测数学试题
名校
解题方法
7 . 如图,在棱长为4的正方体
中,
,过
的平面
截正方体
所得的截面为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2d79c2a25f7a3129a94486d7171cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b06ca628c01e7d6711313888921dfb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
A.![]() ![]() |
B.点![]() ![]() ![]() |
C.在棱![]() ![]() ![]() ![]() ![]() |
D.在棱![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
8 . 在△ABC中,D是边BC上一点,且
,
,
,
,将△ABD沿AD折起,使点B到达点
,且
,若三棱锥
的所有顶点都在球O的表面上,则球O的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17fd4997add124f07e1865a85816327f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41998f8c4ce79831b4e834c377c24e97.png)
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9 . 已知一圆锥的侧面展开图是圆心角为
且半径为3的扇形,则该圆锥的侧面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
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2024-06-12更新
|
587次组卷
|
2卷引用:安徽省六安市第二中学河西校区2023-2024学年高一下学期期中考试数学试题
名校
10 . 如图,一个水平放置的平面图形的直观图是直角
,其中
,则原图形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3437bfc517d938853353bcaa75fad11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cd2e2e12b8730651c65e6317c3949d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-12更新
|
514次组卷
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2卷引用:安徽省六安市第二中学河西校区2023-2024学年高一下学期期中考试数学试题