名校
解题方法
1 . 如图是一种升降装置结构图,支柱
垂直水平地面,半径为1的圆形轨道固定在支柱
上,轨道最低点
,
,
.液压杆
、
,牵引杆
、
,水平横杆
均可根据长度自由伸缩,且牵引杆
、
分别与液压杆
、
垂直.当液压杆
、
同步伸缩时,铰点
在圆形轨道上滑动,铰点
在支柱
上滑动,水平横杆
作升降运动(铰点指机械设备中铰链或者装置臂的连接位置,通常用一根销轴将相邻零件连接起来,使零件之间可围绕铰点转动).
的长为
,求水平横杆
的长和
离水平地面的高度
(用
表示);
(2)在升降过程中,求铰点
距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9651b17b98d75a87a7e502202d32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a987d8689e9a5556f98c37ea485afeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f268424db595e480bbd58f1b7a2e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af0df7030bbefc8711456da8d87b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107fd7b3176ecb59eba848fe8d87d114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598c4ff9fc8518fa4829e39254d3f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在升降过程中,求铰点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af0df7030bbefc8711456da8d87b38.png)
您最近一年使用:0次
2024-01-29更新
|
445次组卷
|
3卷引用:浙江省台州市2023-2024学年高一上学期1月期末数学试题
浙江省台州市2023-2024学年高一上学期1月期末数学试题湖北省襄阳市第四中学2023-2024学年高一下学期质量检测(一)数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
2 . 圆O的半径为1,P为圆周上一点,现将如图所示放置的边长为1的正方形(正方形的顶点A和点P重合)沿着圆周逆时针滚动.经过若干次滚动,点A第一次回到点P的位置,则点A走过的路程为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/492e75d4-9a84-4cfe-a015-29f8cc65faf2.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/492e75d4-9a84-4cfe-a015-29f8cc65faf2.png?resizew=151)
A.2π | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023·全国·模拟预测
3 . 如图所示,面积为
的扇形OMN中,M,N分别在x,y轴上,点P在弧MN上(点P与点M,N不重合),分别在点P,N作扇形OMN所在圆的切线
交于点Q,其中
与x轴交于点R,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b3efa0460cda910b3010182f3548ff.png)
A.4 | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
名校
4 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb8a7f5f3d4df91bd641e7a3247f79e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 如图,是两个齿轮传动的示意图,已知左右两个齿轮的半径分别为
和
,两齿轮中心在同一水平线上,距离为
,标记初始位置
点为左齿轮的最右端,
点为右齿轮的最上端,试问在履带带动齿轮转动过程中
两点之间距离的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/5/865ba005-9774-4be3-bfa9-145466827cc9.png?resizew=200)
您最近一年使用:0次
名校
6 . 直三棱柱
的底面
是等腰直角三角形,
,
.若以点C为球心,
为半径的球与侧面
的交线长为
,且所对的弦长为r,则球C与三棱柱
的交线长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044a9cab96df01ffe6f14d57ca5273d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b339d4e85a47668d10445598cdeb9e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9bef99d47df65de2ce222c7f793cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce1a4da0a4d53a3d5b79fe61f4f87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
您最近一年使用:0次
名校
解题方法
7 . 已知直角梯形
,
,
,
,扇形圆心角
,
,如图,将
,
以及扇形
的面积分别记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36477401af8ec19b82d682ab184753a2.png)
的表达式,并指出其大小关系(不需证明);
(2)用
表示梯形
的面积
;并证明:
;
(3)设
,
,试用代数计算比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36572a10fcb483a9abb63a5039e09ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/201339005285d682fbc2cf65fbabddd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4138f6987cd2ee9e56b2ac80e84f9e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ba3f676fda6a2aaaa55c9f32874a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36477401af8ec19b82d682ab184753a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36477401af8ec19b82d682ab184753a2.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fec41d46ca97d3e900ef1db5a1f002c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6cc4a85bbf152031dc8ebd182e44ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be31dfad4f16cf1f2158b3011e3b68b9.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e8d7d33749979b7d7acc17532d86b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7787a01998f68ccc931c00ccb475f6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3bf4af3d4543cada4b52871ac9dfb1a.png)
您最近一年使用:0次
2023-07-09更新
|
611次组卷
|
6卷引用:上海市复旦大学附属中学2022-2023学年高一下学期期末数学试题
上海市复旦大学附属中学2022-2023学年高一下学期期末数学试题(已下线)高一上学期期末考试解答题压轴题50题专练-举一反三系列(已下线)6.2 常用三角公式-高一数学同步精品课堂(沪教版2020必修第二册)上海市华东师范大学第二附属中学2023-2024学年高一下学期3月月考试题(已下线)专题06 期末解答压轴题-《期末真题分类汇编》(上海专用)(已下线)专题04 三角-《期末真题分类汇编》(上海专用)
名校
8 . 已知直四棱柱
的棱长均为2,
.以D1为球心,
为半径的球面与侧面BCC1B1的交线长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf725e3d44c1b473c0e748ac2f45f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2023-07-08更新
|
574次组卷
|
2卷引用:福建省福州市八县(市)一中2022-2023学年高一下学期期末联考数学试题
9 . 在数学史上,为了三角计算的简便并且更加追求计算的精确性,曾经出现过下列两种三角函数:定义
为角
的正矢,记作
;定义
为角
的余矢,记作
,则有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b7b2ba487fb7e7063a4f95ea81c94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa4e9543cf87ea835c671998c5f3c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54bbf533362dbef1dae0345afae92f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95498fee3e0c8279e815bfdea6704699.png)
A.函数![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
10 . 如图是一座山峰的示意图,山峰大致呈圆锥形,峰底呈圆形,其半径为
,峰底A到峰顶S的距离为
,B是山坡
上一点,且
,
.为了发展当地旅游业,现要建设一条从A到B的环山观光公路.若从A出发沿着这条公路到达B的过程中,要求先上坡,后下坡.则当公路长度最短时,
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890f0b4e81634bb7e013412698640f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e5b0c286d936091a2cd7d1f55861f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b97172405c4f7ac60fb19651cc62de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次