名校
解题方法
1 . 如图,在四棱锥
中,已知:
平面
,
,
,
,已知
是四边形
内部一点(包括边界),且二面角
的平面角大小为
,若点
是
中点,则四棱锥
体积的最大值是( )
![](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/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a755edadca4e4fc27fd49559b8d691ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1074c943acd591413af464a28c285f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8787d38a2a6f1dbb0581ccff5ff24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0779bf252723c0419ab5358cf1d5c0fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/b1148f7d-93b1-4bcb-a768-938026ee9a34.png?resizew=140)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-27更新
|
490次组卷
|
4卷引用:湖北省武汉市新洲区部分学校2023-2024学年高二上学期期中质量检测数学试题
湖北省武汉市新洲区部分学校2023-2024学年高二上学期期中质量检测数学试题江西省吉安市峡江中学2023-2024学年高二上学期期末数学试卷(九省联考题型)(已下线)第3套-复盘卷(已下线)第二章 立体几何中的计算 专题七 空间范围与最值问题 微点3 面积、体积的范围与最值问题(一)【基础版】
2 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bf17add771bd707add480fddcfb3ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd34569a87e25c243eed9b6098946ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5969a18129046ebc1cad495850aab35.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 函数
.其中P,M为实数集
的两个非空子集,又规定
,
.下列四个判断其中正确的是( )
①若
,则
;
②若
,则
;
③若
,则
;
④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326407ffb7641e1f5928e54c1c4f99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b766cf8a990d4429ada7ecf954233917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6feeba738e1ad8d5bbbc7fd7f774c029.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb03e97d9498bff9c3dfac271dad01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16b75d6c240d02859c0a47fddfd7b11.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d64e5e7e66987afd98306a6c90f65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fceff3efce99072365ce50f3646be9e.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4137a15824dd97bbbffb2fa5ecf9bf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a12a56671828ae5f946d0638c7f0739.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a437e27523e4d70b021df116d774a926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ee349ead1b5088f7c685a765498171.png)
A.①③ | B.②③ | C.②④ | D.①④ |
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4 . 已知正方体
的边长为
,点
关于平面
对称的点为
,矩形
内(包括边界)的点
满足
,记直线
与平面
所成线面角为
.当
最大时,过直线
做平面
平行于直线
,则此时平面
截正方体所形成图形的周长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbac36ae3a8f89b82b396aff23234aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564d11ef69fbd48be97acf7baa12b606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/27/29f6d15c-6e35-4624-a2b8-1ed8ec25423f.png?resizew=157)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知正六边形
,把四边形
沿直线
翻折,使得点
到达
且二面角
的平面角为
.若点
都在球
的表面上,点
都在球
的表面上,则球
与球
的表面积之比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564a094212a6ae5e14bef8fec5442bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f445775bebafcf44a927b63ad9ceaf36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a85f35fca3c1f62bd3ce3161ac20db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a592099f251048388f4789f0ee59e028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
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2023-11-26更新
|
570次组卷
|
4卷引用:河南省焦作市2023-2024学年高二上学期11月期中考试数学试题
河南省焦作市2023-2024学年高二上学期11月期中考试数学试题广东省广州市华南师大附中2024届高三上学期第二次调研数学试题(已下线)专题3 翻折变换 模型转化 练(已下线)专题9 立体几何中折叠问题【练】(高一期末压轴专项)
解题方法
6 . 在正方体
中,
分别是棱
上的动点,且
,当
、
共面时,直线
和平面
夹角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3355e2fa0ac6c675f02ee36c3ced4f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8641c983139bb1c7205e8353290653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456175ea34492f0bc025aaab668fa659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/4261a403-ea52-4e23-8c43-3ee3ac9b995a.png?resizew=151)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 定义在
上的函数
满足:当
时,
;当
时,
.将函数
的极大值点从小到大依次记为
,
,…
,并记相应的极大值为
,
,…,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4989f00563dc9ea4e57218ee3a5319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e887308e8cf19f9000f20d0b2ce70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27f27cbb8185c1974d715ff95f8801c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f8cf7cda4e8de86238178cdf5ffdef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a53f265b8a8dfc4bc30e174dc8a5c0.png)
A.9922 | B.29624 | C.88694 | D.265864 |
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名校
解题方法
8 . 定义函数
为实数x的小数部分,
为不超过x的最大整数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-11-26更新
|
293次组卷
|
2卷引用:湖北省武汉市部分学校2023-2024学年高一上学期期中数学试题
名校
解题方法
9 . 若定义在
上的奇函数
,对
,且
,都有
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190649f360b708442e21c45354a4aec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba58634fd538d1ce593dc1bad38d008.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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800次组卷
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5卷引用:重庆市西南大学附属中学校2023-2024学年高一上学期定时检测(二)数学试题
重庆市西南大学附属中学校2023-2024学年高一上学期定时检测(二)数学试题江西省上饶市第二中学2023-2024学年高一上学期期中数学试题重庆市北碚区西南大学附中2023-2024学年高一上学期11月阶段检测数学试题上海市浦东新区进才中学2023-2024学年高一上学期12月月考数学试题(已下线)专题02函数的概念、性质及应用全章复习攻略-【寒假自学课】(沪教版2020)
名校
解题方法
10 . 已知函数
的定义域为
,对于任意的
,
,都有
,当
时,都有
,且
,当
时,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7307ca5fefcdcbf309ac35b12f4f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0d7af1dd8c36e104edee9c0e4ad6b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24657a30afd224a71c7f6c8debcaaa53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3587ff064f9af01371279ab75d22116c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6483994669ecd13e11612bdab672af4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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