名校
解题方法
1 . 某景区的平面示意图为如图的五边形ABCDE,其中BD,BE为景区内的乘车观光游览路线,ED,DC,CB,BA,AE是步行观光旅游路线(所有路线均不考虑宽度),经测量得:∠BCD=135°,∠BAE=120°,∠CBD=30°,
,DE=8,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/d556fb51-912c-488e-8719-853c55597727.png?resizew=232)
(1)求BE的长度;
(2)景区拟规划
区域种植花卉,应该如何设计,才能使种植区域
面积最大,并求此最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8992b4d58ea1efb2940a5047f54c7612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19cc18690815c775809f9a11d97f7a1b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/d556fb51-912c-488e-8719-853c55597727.png?resizew=232)
(1)求BE的长度;
(2)景区拟规划
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
您最近一年使用:0次
2022-07-01更新
|
640次组卷
|
4卷引用:江苏省镇江市2021-2022学年高一下学期期末数学试题
江苏省镇江市2021-2022学年高一下学期期末数学试题(已下线)专题6.11 解三角形(重难点题型精讲)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)重庆市永川区北山中学2024届高三上学期期中数学试题(已下线)模块三 专题6 大题分类练(解三角形)(拔高能力练)(苏教版)
解题方法
2 . 北京某高校有20名志愿者报名参加2022年北京冬奥会服务工作,其中有2名老师,18名学生.若从中随机抽取
名志愿者,用X表示所抽取的n名志愿者中老师的人数.
(1)若
,求X的分布列与数学期望;
(2)当n为何值时,
的概率取得最大值?最大值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c248410aa8a2a825fc5c636973b4cde9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
(2)当n为何值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ce9db5574a2df6184bdc7cd13b208a.png)
您最近一年使用:0次
21-22高一·全国·假期作业
名校
解题方法
3 . 如图所示,一套组合玩具需在一半径为3的球外罩上一个倒置圆锥,则圆锥体积的最小值为( )
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986523354980352/2987628850184192/STEM/72d52fa7-74e0-44ba-84c2-98350ef0ddda.png?resizew=125)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986523354980352/2987628850184192/STEM/72d52fa7-74e0-44ba-84c2-98350ef0ddda.png?resizew=125)
A.64π | B.40π | C.84π | D.72π |
您最近一年使用:0次
2022-05-26更新
|
1260次组卷
|
6卷引用:第09练 简单几何体的表面积与体积-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)
(已下线)第09练 简单几何体的表面积与体积-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)北京市第二中学2022届高三5月模考数学试题(已下线)专题10 空间几何体的表面积与体积-备战2023年高考数学母题题源解密(全国通用)(已下线)第22练 简单几何体的表面积与体积北京市第二十二中学2023届高三上学期开学考试数学试题(已下线)考向26空间几何体的表面积与体积(重点)-2
解题方法
4 . 根据不同的程序,3D打印既能打印实心的几何体模型,也能打印空心的几何体模型.如图所示的空心模型是体积为
的球挖去一个三棱锥
后得到的几何体,其中
,
平面PAB,
.不考虑打印损耗,求当用料最省时,AC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c2ab584d064ea2054aac0be9b178fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f9fc9fbc26c834e6b598223e7258d9.png)
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958753339277312/2961704432525312/STEM/97daa4ba-af96-4756-893a-172f96b80656.png?resizew=120)
您最近一年使用:0次
解题方法
5 . 如图,某水域的两条直线型岸边
,
的夹角为
,某渔民准备安装一直线型隔离网BC(B,C分别在
,
上),围出养殖区△
.
![](https://img.xkw.com/dksih/QBM/2022/1/18/2897255093256192/2901630221197312/STEM/9379b89e-9a24-4ace-8600-5c4fb6763549.png?resizew=165)
(1)若
,求养殖区△
面积(单位:
)的最大值;
(2)若△
是锐角三角形,且
,求养殖区△
面积(单位:
)的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/2022/1/18/2897255093256192/2901630221197312/STEM/9379b89e-9a24-4ace-8600-5c4fb6763549.png?resizew=165)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9165907fae49041a3f7851f9803b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa40703e74a4a7bc0e86c75f93fb8ed8.png)
(2)若△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aed83bca76027108bea2c38b0a78665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa40703e74a4a7bc0e86c75f93fb8ed8.png)
您最近一年使用:0次
解题方法
6 . 已知椭圆
.
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864710572695552/2868962727976960/STEM/b1c6ce63957e46f3af24ea3da216b1ae.png?resizew=274)
(1)若
在椭圆
上,证明:直线
与椭圆
相切;
(2)如图,
分别为椭圆
上位于第一、二象限内的动点,且以
为切点的椭圆
的切线与
轴围成
.求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864710572695552/2868962727976960/STEM/b1c6ce63957e46f3af24ea3da216b1ae.png?resizew=274)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7b5a74a10686910113e756e5add888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944064af26f4a4879610286d1ac2d2fe.png)
您最近一年使用:0次
解题方法
7 . 对于函数
,
,如果存在实数
,
使得函数
,那么我们称
为函数
,
的“
函数”.
(1)已知
,
,试判断
能否为函数
,
的“
函数”,若是,请求出
,
的值;若不是,说明理由;
(2)已知
,
,
为函数
,
的“
函数“,且
,
,解不等式
;
(3)已知
,
,
为函数
,
的“
函数“(其中
,
,
的定义域为
,当且仅当
时,
取得最小值4.若对任意正实数
,
,且
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ed6155f2ed4ff240aa839de87f8a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0ae50d5993a332b5cddb022eaa6f1e.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd5511310051b98188576c0879b8b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eeda0d8d85ca30ce483e2784691ddc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046def789ca5b0f8d6acf15bb55fed4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0ae50d5993a332b5cddb022eaa6f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557eb194cf0abe382609f8e1325b4197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280fdf3bab62f1f7bf22db78375f2eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0ae50d5993a332b5cddb022eaa6f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea998345984b6d1bbffa1e667365ed6.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253893d2bf2b944a6de271463c3e7929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76535a5fa102477fc8621b2f3cc70f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0ae50d5993a332b5cddb022eaa6f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04174f3c9351bc05bcf604d18ab8c44c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419504736c4934f6e0df4114c3743944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626382f10e9cd843a36e2c35bc430e44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
8 . 如图所示是在圆锥内部挖去一正四棱柱所形成的几何体,该正四棱柱上底面的四顶点在圆锥侧面上,下底面落在圆锥底面内,已知圆锥侧面积为
,底面半径为
.
(Ⅰ)若正四棱柱的底面边长为
,求该几何体的体积;
(Ⅱ)求该几何体内正四棱柱侧面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1770c6cf3ce00fe2ff6721a8529e7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2650f336973e5d3aec1158a4d813bd36.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/3366ae07-d50e-42d8-980b-b718a523838c.png?resizew=142)
(Ⅰ)若正四棱柱的底面边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83431d7baf846a73574f394dd5a16794.png)
(Ⅱ)求该几何体内正四棱柱侧面积的最大值.
您最近一年使用:0次
2021-08-13更新
|
1152次组卷
|
7卷引用:8.3 简单几何体的表面积与体积(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)
(已下线)8.3 简单几何体的表面积与体积(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)广东省广州市八校联考2021-2022学年高一下学期期中数学(B卷)试题(已下线)8.3简单几何体的表面积和体积(第2课时)(练案)-2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)云南省昆明市第一中学2021-2022学年高一下学期期中考试数学试题四川省广安市第二中学校2022-2023学年高一下学期期中考试数学试题福建省宁德市高中同心顺联盟校2020-2021学年高一下学期期中考试数学试题湖南省邵阳市武冈市2021-2022学年高一下学期期中数学试题
解题方法
9 . 如图,在圆锥
中,轴截面
是边长为2的等边三角形,点
为高
上一动点,圆柱
为圆锥
的内接圆柱(内接圆柱的两个底面的圆周都在圆锥表面上).点
为圆锥底面的动点,且
.则( )
![](https://img.xkw.com/dksih/QBM/2021/7/8/2759900325306368/2777778681757696/STEM/dd258b333c9a4281bfb23aa6b64e451f.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f04e898cd5458f14e93d443a721678.png)
![](https://img.xkw.com/dksih/QBM/2021/7/8/2759900325306368/2777778681757696/STEM/dd258b333c9a4281bfb23aa6b64e451f.png?resizew=189)
A.圆柱![]() ![]() |
B.圆柱![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2021-08-02更新
|
448次组卷
|
3卷引用:浙江省台州市2020-2021学年高一下学期期末数学试题
解题方法
10 . 如图的实验装置是由两块互相垂直的正方形木板构成的.已知两个正方形的边长都为
,在正方形
的对角线
上有一滑片
,在正方形
的对角线
上有一滑片
,无论两个滑片如何滑动,始终满足滑片
到点
的距离等于滑片
到点
的距离.则四面体
体积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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