1 . 如图,点
,
都在反比例函数
的图象上,
轴于点
,
轴于点
,
于点
,
轴于点
,
,
,
,求反比例函数
的解析式及点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7385795d7eab9691e21172c51a97428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2485101d50dd5eef3e4fb242adfca527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b45db8dd8768994af51206565379fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c79c4d655d22f6b3e9826adc6df810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf783d3172debc69f963495e5bff78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05ce6ff5103e9675a7eed0d1c1ab932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6370d6c626bdabf1fc694501ee6c714f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7385795d7eab9691e21172c51a97428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/970e3a2c-7a1f-4364-a210-fc1b6bae2349.png?resizew=140)
您最近一年使用:0次
2024-01-29更新
|
40次组卷
|
2卷引用:山西省大同市多校2023-2024学年九年级上学期期末数学试题
2 . 小明的爸爸是测绘员,元旦期间,小明和爸爸带着经纬仪和无人机一起去郊外进行测绘实践活动,已知经纬仪的高度为1.5米.
活动一:
如图1,小明在点
处安置经纬仪,测得
与水平线的夹角
,
米,则点
与点
的高度差为________米.
活动二:
小明想继续测量山坡两侧点
与点
的高度差,但因山坡的遮挡,两点无法用眼睛直接观测到,小明寻求爸爸的帮助,爸爸画出如图2所示的测绘图纸,在点
,
处分别安置经纬仪,将无人机悬停到遮挡区域上空,测得
与水平线的夹角
,
与水平线的夹角
,
米,
米.请你根据以上数据求点
与点
的高度差.(参考数据:
,
,
,
)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/2df6ca18-0031-4421-a650-a017b9baced6.png?resizew=320)
活动一:
如图1,小明在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c0a61e30802d1aeed49a6b26ff31b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2dcf2debb4c733c88061662bd22a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
活动二:
小明想继续测量山坡两侧点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6405b2ce77b8b85b36e723fe00b9e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55bb0405afa96ebf94c5b03fd52763dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e304418c6488c968ad1ac6c360fa4254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babcc4293779ff647ec9ffae2e2f0fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e98155207c398edd190060e2b208da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/888e6e9e6ca20554cc98547b1a3f8bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04390bfdcc0c4707fd43a2c0b6a585f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c2d2db1fa8a6c703c6edecfa038d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e47e722487ac9e321836d41303819a.png)
您最近一年使用:0次
3 . 综合与实践
问题情境:如图1,在矩形
中,
,
.将矩形
绕边
的中点E逆时针旋转角度
得到矩形
(点A,B,C,D的对应点分别是点
,
,
,
).
操作发现:
(1)连接
,
,
,
,则四边形
的形状是______;
问题探究:
(2)如图2,连接
,
,试判断
与
的数量关系,并说明理由;
拓展延伸:
(3)如图3,
与BC交于点F,连接BD,当点
落在线段BD上时.
①求
的长度;
②直接写出
的长度.
问题情境:如图1,在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.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/d7199ded47c047792b3147c25467359c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d609847e2ff3d64e5a514582c3ead0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
操作发现:
(1)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b123ae31090740589ba27a846620b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b25f3ea33cc08b1e2a0d9c3a9dccaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a21897349d3d7c94419692106887153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c82997f2ec6eb7198914ef445f65160.png)
问题探究:
(2)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ecac2dad4cffdd971fd23deacff3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ecac2dad4cffdd971fd23deacff3fc.png)
拓展延伸:
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
②直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71fe246270d1277f9eb2bf15af22e83.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/27/fa17aea5-fb07-4509-a675-e28463385124.jpg?resizew=480)
您最近一年使用:0次
4 . 项目化学习
项目主题:测量树的高度.
分析探究:树的高度不能直接测量,需要借助一些工具,比如小镜子,标杆,皮尺,小木棒,自制的直角三角形硬纸板……确定方案后,还要画出测量示意图,并实地进行测量,得到具体数据,从而计算出树的高度.
成果展示:下面是某小组进行交流展示时的部分测量方案及测量数据:
请同学们继续完善上述成果展示:
任务一:根据测量数据,求出树
的高度;
任务二:写出求树的高度时所利用的数学知识______.(写出一个即可)
项目主题:测量树的高度.
分析探究:树的高度不能直接测量,需要借助一些工具,比如小镜子,标杆,皮尺,小木棒,自制的直角三角形硬纸板……确定方案后,还要画出测量示意图,并实地进行测量,得到具体数据,从而计算出树的高度.
成果展示:下面是某小组进行交流展示时的部分测量方案及测量数据:
测量工具 | 标杆,皮尺 |
测量方案 | 选一名同学作为观测者,在观测者与树之间的地面直立一根标杆,使树的顶端、标杆的顶端与观测者的眼睛恰好在一条直线上.这时再测出观测者的脚到树底端的距离,以及观测者的脚到标杆底端的距离,然后测出标杆的高. |
测量示意图 | |
测量数据 | 线段![]() ![]() ![]() ![]() ![]() |
…… |
任务一:根据测量数据,求出树
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
任务二:写出求树的高度时所利用的数学知识______.(写出一个即可)
您最近一年使用:0次
5 . 山西的饮食文化以面食文化为主,常见的面食品种有刀削面、刀拨面、剔尖等等,同时山西人也会自制一些其他面食,比如利用“杠杆原理”压制出来的饸饹面本是西北常见的一种面食,山西人也会经常吃.如图①,是一个手动饸饹机的实物图,图②是其示意图,已知手柄的长度
,
,支架的高度
,抬至最高时与水平方向的夹角
约为
,此时点
,
,
,
四点共线.
(结果精确到
,参考数据:
,
,
)
到水平面
的距离;
(2)李师傅压制饸饹时,某一时刻
与水平方向的夹角为
,则手柄
上点
的高度降低了多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28c0a00115e4c92f392c6a22dc41abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1cdef728aacc58fce1e4f596493269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6220118a30064df57bed88ae5b63aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3fefe07cbda3517e88b226d557dc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(结果精确到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd58f9f2603b2a02db40ca2bf9d17a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0023fd92fe236a42ec2ec7960e652a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c5576fe0708ed93d857ea93394a721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df91a3cda5ac91528c4ea96bf3b322c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
(2)李师傅压制饸饹时,某一时刻
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2024-01-16更新
|
81次组卷
|
2卷引用:山西省运城市临猗县多校2023-2024学年九年级上学期期末数学试题
6 . 随着人民生活水平的日益提高,许多农村的房屋普遍进行了改造,小明家改造时在门前安装了一个遮阳棚,如图,在侧面示意图中,遮阳篷
长为4米,与墙面
的夹角
,靠墙端A离地高
为3米,当太阳光线
与地面
的夹角为
时,求阴影
的长.(结果精确到
米;参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75d2f39d94102e6147d813dffd8a7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e3e0a13d718fb28f34a7e0d25d18c0.png)
您最近一年使用:0次
2024-01-13更新
|
441次组卷
|
6卷引用:山西省运城市2023-2024学年九年级上学期期末联考数学试题
山西省运城市2023-2024学年九年级上学期期末联考数学试题上海市金山区2023-2024学年九年级上学期期末(一模)数学试题(已下线)专题08 锐角三角函数相关(16区66题)-2024年中考数学一模试题分类汇编(上海专用)(已下线)专题09 解直角三角形的应用16道(解答题第22题)-2024年中考数学一模试题分类汇编(上海专用)(已下线)数学(南京卷)-学易金卷:2024年中考第一次模拟考试2024年辽宁省初中学业水平数学模拟预测题(一)
7 . 眼睛是人类感官中最重要的器官之一,每年的6月6日定为全国爱眼日,小林想要探究自己按照标准护眼姿势读书时书籍应离身体多远,画出如图的侧面示意图,点A为眼睛的位置,A到书籍
的距离
为40cm,
与水平方向夹角
为
,小林在书桌上方的身长
为52cm,且
垂直于水平方向,请你求出小林与书籍底端的水平距离
.(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d598f4a17ac14970ade9f381e9aee970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cf21017ebe712348fbe500113dbc59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70716b98e77bdcd68512b18f91ccbb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8fd5213e37e2555db9cc2c12cec7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9585715711c64f7778a59feb4e0d599.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/46e3f426-11f3-4f3e-af0e-cc1a45adf2fb.png?resizew=346)
您最近一年使用:0次
2023-09-09更新
|
179次组卷
|
3卷引用:山西省晋城市多校2023-2024学年九年级上学期期末联考数学试题
名校
8 . 如图,矩形
中,
,
,
是对角线
上的两个动点,分别从
同时出发,相向而行,速度均为
,运动时间为
秒,若
分别是
的中点,且
,当
为顶点的四边形为矩形时,
的值为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6747441b260ca043446b5d472fece440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432043f79e122f291c47453013042704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d989a128e30a701dfff5592476a76bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f1835adc2bb75785b02807e4fa6a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0f067a2a348ceb24a408f82992eab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fa8bd3792adb4f75697357808cd50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0003083d9fb0b9647e818192e04fdf04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77f553cfa9df7c883ec48d665845801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-04-30更新
|
143次组卷
|
9卷引用:山西省忻州市忻府区2023-2024学年八年级下学期中数学试题
山西省忻州市忻府区2023-2024学年八年级下学期中数学试题江苏省南京师范大学附属中学江宁分校2023-2024学年八年级下学期数学阶段练习题(3月20日)甘肃省陇南市三县联考2023-2024学年八年级下学期期中数学试题(已下线)第5章 特殊平行四边形常考易错(9个考点50题专练)-2023-2024学年八年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(浙教版)甘肃省平凉市庄浪县思源实验学校2023-2024学年八年级下学期期中数学试题(已下线)八年级数学下学期末考试模拟试卷01【好题汇编】-备战2023-2024学年八年级数学下学期期末真题分类汇编(浙江专用)浙江省杭州市余杭区临平区信达外国语学校2022-2023学年八年级下学期期中数学试题(已下线)第5章 特殊平行四边形 章末重难点检测卷-【帮课堂】2022-2023学年八年级数学下册同步精品讲义(浙教版)(已下线)第17课 矩形-2022-2023学年八年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(浙教版)