名校
1 . 圆锥SAB的底面半径为
,母线长
为
的中点,一个动点自底面圆周上的
点绕圆锥侧面移动到
,则这点移动的最短距离是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fc186fb0704d7d59be6e2483bee6fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
名校
2 . 如图,在长方体
中,
,
分别为
,
的中点,
是线段
上一点,满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
______ .
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaaec77982500dde97b8a87b8992bc18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217f85bc37f04fe6baf2e6e4d94faba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
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2023-11-20更新
|
268次组卷
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5卷引用:海南省2023-2024学年高二上学期11月期中阶段性教学检测(一)数学试题
海南省2023-2024学年高二上学期11月期中阶段性教学检测(一)数学试题(已下线)模块三 专题3 小题满分挑战练(2) 期末终极研习室(高二人教A版)(已下线)专题01 空间向量及其应用常考题型归纳(2)(已下线)专题01 空间向量与立体几何(1)山东省潍坊市第一中学2023-2024学年高一下学期清明后摸底考试(4月月考)数学试题
3 . 在空间直角坐标系中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aab59a34fc8e9efc023657f1374a1dc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fcc85e1f545c9203d4de87b33c561c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70f9d3de9f579bb4c84a571c227c080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aab59a34fc8e9efc023657f1374a1dc.png)
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解题方法
4 . 在长方体
中,
,以D为原点,
,
,
方向分别为x轴,y轴,z轴正方向建立空间直角坐标系,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c527864f0dad3bd9f4363d45a6a6e0.png)
______ ,若点P为线段AB的中点,则P到平面
距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47abf7a3691e5bb64716c4e50b43a86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a754ad0537577221e7be168127d7cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085dbb9d78aef7d81c3f4d6855f067b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7373300e952e2b90c7a66b682f5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c527864f0dad3bd9f4363d45a6a6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
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5 . 若平面
的一个法向量为
,
,则直线
与平面
的关系是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f28ec4610a0a4e269a40e696094167f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af3794021e589381e2d43e0df7255f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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名校
6 . 如图,三棱锥
中,
平面ABC,
,且
,
.若D是棱PC上的点,满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a93b9e58955cd81f6d2444a284c58be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6e91d40d12e8e6b2ab55bc541adeca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://img.xkw.com/dksih/QBM/2023/10/20/3350169606774784/3352061134553088/STEM/d36093c4747f4beba11862f9bef64ff9.png?resizew=149)
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2023-10-23更新
|
345次组卷
|
4卷引用:海南省海口市农垦中学2023-2024学年高二上学期期中数学试题
海南省海口市农垦中学2023-2024学年高二上学期期中数学试题浙江省台州市临海市灵江中学2023-2024学年高二上学期10月月考数学试题(已下线)第一章 点线面位置关系 专题二 空间垂直关系的判定与证明 微点2 空间直线垂直的判定与证明综合训练【基础版】(已下线)考点10 空间向量的应用 2024届高考数学考点总动员【讲】
23-24高二上·福建莆田·阶段练习
名校
解题方法
7 . 点
,
,
,则点A到直线
的距离是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97130ba1c0ba45f6d15e66aa1646ee2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866aa11c73d426cc2efef37aebb39f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0a0f6c451a4849b940074ae70c66b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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2023-10-20更新
|
607次组卷
|
4卷引用:海南省省直辖县级行政单位澄迈县澄迈中学2023-2024学年高二上学期期中数学试题
海南省省直辖县级行政单位澄迈县澄迈中学2023-2024学年高二上学期期中数学试题福建省师范大学附属中学2023-2024学年高二上学期期中考试数学试题江西省南昌市第十九中学2024届高三上学期11月期中考试数学试题(已下线)福建省莆田第四中学2023-2024学年高二上学期第一次(10月)月考数学试题
名校
8 . 已知空间向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90136425bd2ec9d496c1552053ac8560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5f69bb2eac51075fab04e2a984a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
您最近一年使用:0次
2023-10-17更新
|
411次组卷
|
4卷引用:海南省海口市琼山华侨中学2023-2024学年高二上学期期中考试数学试题
名校
9 . 已知三棱锥
中,
平面BCD,
,
,
,则三棱锥
的外接球的表面积为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6bdfb0e1be5583e794ab614a8abe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
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2023-09-29更新
|
832次组卷
|
4卷引用:海南昌茂花园学校2022-2023学年高二上学期期中考试数学试题
10 . 已知空间向量
,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d90f8e75d07b28e18d827e562b8fd9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdd3e76780e09216b36118e7c474a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e5ba67828c57daf2edb497fb52e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
2023-09-29更新
|
276次组卷
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2卷引用:海南昌茂花园学校2022-2023学年高二上学期期中考试数学试题