名校
1 . 在三棱锥
中,
面
,则三棱锥
的外接球的表面积为___________ .
![](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/cb5444bf15e722f7a07eb828a9abbe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
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名校
2 . 已知函数
,若函数
的最小值恰好为0,则实数
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1328e7d04052f002d4b3bd78d3529e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 .
的展开式中
项的系数为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2cef315592e08c4718f3fadd3e37b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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4 . 定义在
上的函数
满足
为偶函数,
为奇函数,且当
时,
.当
时,函数
与
图象的交点个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08869ffa8b997472fbc4deee60ae0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4eccc8b4cef84da4388fc696fef97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8898d891410dd22bff5d1d2a3cf340e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-07更新
|
258次组卷
|
2卷引用:贵州省部分学校2024届高三下学期联考数学试卷
解题方法
5 . 已知
为圆锥的顶点,
为该圆锥底面的一条直径,若该圆锥的侧面积为底面积的3倍,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdbbb2e6097942151326fa9d006dd7d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdbbb2e6097942151326fa9d006dd7d.png)
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2024-06-06更新
|
141次组卷
|
2卷引用:贵州省部分学校2024届高三下学期联考数学试卷
解题方法
6 . 如图,是南京博物馆展示的一件名为“陶三棱锥”的文物,该文物的出土,为研究吴越文化提供了重要价值,博物馆准备为该文物制作一个透明的球形玻璃外罩进行保护供游客观赏研究,经测量该文物的所有棱长都为
分米,则制作的球形玻璃外罩(玻璃外罩厚度忽略不计)的直径至少为____________ 分米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
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解题方法
7 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29b6b7f33003606c66bb6511fa8b0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6748f37f135291b5a7e21f250f58cdf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2024-06-06更新
|
134次组卷
|
2卷引用:贵州省部分学校2024届高三下学期联考数学试卷
名校
解题方法
8 . 若
为纯虚数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66010183821ca2f8b42cd8e015e4621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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名校
解题方法
9 . 欧拉函数
表示不大于正整数
且与
互素(互素:公约数只有1)的正整数的个数.已知
,其中
,
,…,
是
的所有不重复的质因数(质因数:因数中的质数).例如
.若数列
是首项为3,公比为2的等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c47847486c103fabb5b4ba4220c6a8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc89a53c03cb86fb653bb82128f6cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac535d98f300ff35496c66fe3c66a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be646cd52d7f2f1714e7542e75810f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b9bd3d8d836eb723be002c86a53740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9fa588c3a8ac4df1b963a1f2850163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c47847486c103fabb5b4ba4220c6a8.png)
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2024-06-03更新
|
587次组卷
|
3卷引用:贵州省黔南州2024届高三下学期第二次模拟统考数学试题
解题方法
10 . 已知四面体
的四个面都为直角三角形,
平面
,
为直角,且
,则四面体
的体积为______ ,其外接球的表面积为______ .
![](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/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db4241d0422534527b34cc4e7534637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
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