名校
解题方法
1 . 已知实数
满足
,则
的最大值为______ ;
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49208e9cab0ee094f73ca50dd1533ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404c3be5eb6a7c2d3c6011c58cd2056f.png)
您最近一年使用:0次
2 . 一个三棱锥形木料
,其中
是边长为
的等边三角形,
底面
,二面角
的大小为
,则点A到平面PBC的距离为__________
.若将木料削成以A为顶点的圆锥,且圆锥的底面在侧面PBC内,则圆锥体积的最大值为_________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ff7bcb98a21e7c3da0e9367db50d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af089fd292ba69ddef79e9ab1cac77ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f694e6b5440ffc47cd59dc37f75e0f7.png)
您最近一年使用:0次
2024-03-27更新
|
866次组卷
|
5卷引用:江苏省南通市海安高级中学2024届高三下学期开学考试数学试题
江苏省南通市海安高级中学2024届高三下学期开学考试数学试题江苏省南通市海安市2023-2024学年高三上学期期初学业质量监测数学试题江苏省扬州市高邮市临泽中学2024届高三下学期一模模拟数学试题(已下线)第四章 立体几何解题通法 专题五 平移变换法 微点3 平移变换法综合训练【培优版】河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次调研测试数学试卷
名校
3 . 如果函数在区间
上为增函数,则记为
,函数
在区间
上为减函数,则记为
.已知
,则实数
的最小值为
,且
,则实数
您最近一年使用:0次
2024-03-26更新
|
460次组卷
|
3卷引用:江苏省镇江市2023-2024学年高三下学期期初考试数学试卷
4 . 已知离散型随机事件
发生的概率
,
,若
,事件
,
,
分别表示
,
不发生和至少有一个发生,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb48582b495658c775ad3efd567c9f2.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ad95458f8ec6062eb65db248b8a62.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ce02b921c74d7c2020ed9be62de061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bc28cb833020f622dfda1168141349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72faa9d5328cd451c4db60bc505f55b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21778974e8491fe2a158e70b459217be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555e0114c5a4605465900d7e165a299e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce69cd33d105ce280170f0cd0513026.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/abb48582b495658c775ad3efd567c9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ad95458f8ec6062eb65db248b8a62.png)
您最近一年使用:0次
解题方法
5 . 已知抛物线
的焦点为
,直线
与抛物线
相切于点
(异于坐标原点
,与
轴交于点
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
__________ ;向量
与
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3904463e169fb25dbd36fa257edd2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a9e11c03add38d20e4dd5574fe969e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d1953c0d99194fe4f7a85a8ab0713b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
您最近一年使用:0次
2024-03-12更新
|
865次组卷
|
3卷引用:河北省百师联盟2024届高三下学期开学摸底联考数学试题
名校
解题方法
6 . 在正三棱台
中,
、
,直线
与底面
所成的角为
,则该三棱台的体积为__________ ,该三棱台的外接球的表面积为__________ .
![](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/0ff6c9099d36b2bbd7f5a47531942de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
您最近一年使用:0次
名校
解题方法
7 . 如图1,菱形
的边长为
,
,将平面
、平面
同时绕BD向相对方向旋转,当A,C两点之间的距离等于BD时,构成四面体
,如图2所示,则BD与AC所成角的大小为________ ,四面体
外接球的表面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46571701ccaa18d3c844ab99ee6c30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/c28a8229-dee0-4f73-a0d8-51bdf08c0a28.png?resizew=317)
您最近一年使用:0次
解题方法
8 . 在正四面体
中,M为PA边的中点,过点M作该正四面体外接球的截面,记最大的截面半径为R,最小的截面半径为r,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd05adb62374d8ee90daef4a823650c.png)
_________ ;若记该正四面体和其外接球的体积分别为
和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa4c480d031dedac6e81872836d04cc.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd05adb62374d8ee90daef4a823650c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa4c480d031dedac6e81872836d04cc.png)
您最近一年使用:0次
2024-03-09更新
|
784次组卷
|
2卷引用:江西省红色十校2024届高三下学期2月联考数学试卷
名校
解题方法
9 . 已知
,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,
取得最小值,最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372fc66e4dac769ed6eaba8f030d697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b8eca8a27ff7b03e4f4202cf4199de.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3007dbaaec60c1bbfd1e208b8080a01.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b903f300ae0900720f1ff6b5b814b7b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dcaedfa7eca3e53a5375f014679a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb69f20f9dbdf6de15abba2afb10431c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3007dbaaec60c1bbfd1e208b8080a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b903f300ae0900720f1ff6b5b814b7b.png)
您最近一年使用:0次
2024-03-09更新
|
544次组卷
|
2卷引用:山东省菏泽第一中学八一路校区2024届高三下学期开学考试数学试题