名校
解题方法
1 . 如图,在四棱锥
中,
是边长为2的等边三角形,梯形
满足
,
,
,M为AP的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878587058946048/2924764614393856/STEM/c324e68b-eab1-4f19-b18d-e8661c31a056.png?resizew=174)
(1)求证:
平面
;
(2)若
,求点C到平面PAD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878587058946048/2924764614393856/STEM/c324e68b-eab1-4f19-b18d-e8661c31a056.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfacd208d769d01f1d4ef20313cd869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
您最近一年使用:0次
2022-02-26更新
|
520次组卷
|
3卷引用:广西南宁市第三中学2023届高三下学期数学强化训练试题(一)
名校
2 . “天圆地方”观反映了中国古代科学对宇宙的认识,后来发展成为中国传统文化的重要思想.中国古人将琮、璧、圭、璋、璜、琥六种玉制礼器谓之“六瑞”,玉琮内圆外方,表示天和地,中间的穿孔表示天地之间的沟通,可以说是中国古代世界观很好的象征物.下面是一玉琮图及其三视图,设规格如图所示(单位:cm),则三视图中
,
两点在实物中对应的两点在实物玉璧上的最小距离约为( )(
,
)
![](https://img.xkw.com/dksih/QBM/2021/4/5/2693351267409920/2808192490536960/STEM/6eeab69a-bd71-480c-8a63-16809df72228.png?resizew=523)
![](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/3f13a78a5feb056770750c6a0ebebdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a929d0d84e3654f03694adc8d1a326e.png)
![](https://img.xkw.com/dksih/QBM/2021/4/5/2693351267409920/2808192490536960/STEM/6eeab69a-bd71-480c-8a63-16809df72228.png?resizew=523)
A.8.4 | B.9.8 | C.10.4 | D.11.2 |
您最近一年使用:0次
2021-09-14更新
|
366次组卷
|
3卷引用:广西南宁市第三中学2023届高三下学期数学强化训练试题(一)
名校
解题方法
3 . 棱长为6的正方体内有一个棱长为a的正四面体,且该四面体可以在正方体内任意转动,则a的最大值为______
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2021-11-23更新
|
717次组卷
|
8卷引用:2019年全国高中数学联赛广西壮族自治区预赛
名校
4 . 如图,在正三棱柱
,(底面为正三角形的直三棱柱称为正三楼柱)中,
,
,
,
分别是棱
,
的中点,
为棱
上的动点,则
的周长的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7e8dd831f4edc711c0f7d5f078f625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3634979dfcebf857b20874dd320d80b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/ceb7efbf-5ca2-4f54-92e9-2d12d4794732.png?resizew=158)
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2020-01-06更新
|
734次组卷
|
5卷引用:2018年全国高中数学联赛广西壮族自治区预赛
2018年全国高中数学联赛广西壮族自治区预赛(已下线)【新东方】杭州高二数学试卷236(已下线)第19讲 空间几何体概念山西省太原市第五中学2019-2020学年高二10月阶段性检测数学(理)试题山西省太原市第五中学2019-2020学年高二10月阶段性检测数学(文)试题
名校
解题方法
5 . 如图,已知平面
平面
,四边形
是正方形,四边形
是菱形,且
,点
分别为边
的中点,点
是线段
上的动点.
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638704566247424/1656268033253376/STEM/cef19feb86ea43e99d354edbbc3b725c.png?resizew=236)
(1)求证:
平面
;
(2)求三棱锥
的体积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c674dc5024374f53920947c4cf4baf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f611d0a0894890a13e08135c1b887d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0f067a2a348ceb24a408f82992eab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bc67cc4eb17a62a39d9105ca763a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638704566247424/1656268033253376/STEM/cef19feb86ea43e99d354edbbc3b725c.png?resizew=236)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d07d16fc91aa960b67ba4b474de8a62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350b7afa86146fb39d1fcd456c862b49.png)
您最近一年使用:0次
2017-04-01更新
|
878次组卷
|
3卷引用:2017届广西陆川县中学高三下学期知识竞赛文数试卷
6 . 某几何体的三视图如图所示,那么该几何体的体积是
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638704566247424/1656268032958464/STEM/b1fef09888424be593aae49fdb04699d.png?resizew=173)
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638704566247424/1656268032958464/STEM/b1fef09888424be593aae49fdb04699d.png?resizew=173)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知圆
:
与圆
:
相交于
、
两点,则线段
的垂直平分线的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585033e0bb1bbad7c012172c1d5f7265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ed86318870db1b0d583f0744fb1ff7.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 如图为一个多面体的三视图,则该多面体的体积为
![](https://img.xkw.com/dksih/QBM/2017/5/10/1683941228077056/1683988839473152/STEM/7b363777d21344dbb2e5f4ee2f54c4a6.png?resizew=167)
![](https://img.xkw.com/dksih/QBM/2017/5/10/1683941228077056/1683988839473152/STEM/7b363777d21344dbb2e5f4ee2f54c4a6.png?resizew=167)
A.![]() | B.7 | C.![]() | D.![]() |
您最近一年使用:0次
2017-04-01更新
|
1039次组卷
|
6卷引用:2017届广西陆川县中学高三下学期知识竞赛理数试卷
2017届广西陆川县中学高三下学期知识竞赛理数试卷(已下线)专题35 高频考点之三视图问题-备战2022年高考数学一轮复习一网打尽之重点难点突破山东省淄博市2017届高三第二次模拟考试数学(理)试题江西省南昌市南昌县莲塘一中2018届直升班周末练试卷数学试题【全国百强校】黑龙江省哈尔滨市第六中学2018届高三下学期考前押题卷(一)数学(理)试题【市级联考】广东省广州市2019届高三年级第一学期调研考试(零模)理科数学试题
名校
9 . 已知
与平面
,且
,
于
,若边
平面
,边
、
与平面
所成的角分别为
和
,则
与平面
所成角的大小为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ba5383e768dc86e1bfd79c10f96f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be509ef5101aae24609ff9941cb246fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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