如图1,在
中,
,
,
,边长为
的正方形
从点
出发,沿射线
运动.当点
与点
重合时,运动停止.设
,正方形
与
的重叠面积为
,
关于
的图象如图2所示.下列结论:
①
,
,
,
,
;②当
时,
;③在运动过程中,
的最大值为
;④连接
,当
交边
于点
时,设
,则
.其中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/f7f9feb9-f6c0-442a-80e6-a338c4bda47a.png?resizew=363)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998329f9cdb86f5d60d7d5d70fc3781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c34eff4d793873d9e812d75d90fd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a71a658362bd9faa329c3d9f6e6d2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0403fda65c75cabd08c088ac38395d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8574d11ada8ecdc6cde1fcbab200da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2ec2988b10665376184a873642e9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7953496d38945fdf62a9018052c782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755022badd7ae156736636dddb75c9e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a8f285c79c6cee2ed31f1f9f7d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05298dd1544878cd292d7b3e90bae871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427ac770413e43877b62fa4768bcda34.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/f7f9feb9-f6c0-442a-80e6-a338c4bda47a.png?resizew=363)
A.①② | B.③④ | C.①②③ | D.③④ |
更新时间:2024-01-19 09:37:54
|
【知识点】 图形运动问题(实际问题与二次函数)解读
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【推荐1】如图,在Rt△DEF中,∠EFD=90°,∠DEF=30°,EF=3cm,边长为2cm的等边△ABC的顶点C与点E重合,另一个顶点B(在点C的左侧)在射线FE上.将△ABC沿EF方向进行平移,直到A、D、F在同一条直线上时停止,设△ABC在平移过程中与△DEF的重叠面积为ycm2,CE的长为xcm,则下列图象中,能表示y与x的函数关系的图象大致是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/9955e559-3c45-46e4-abad-e8a53dfbb127.jpg?resizew=186)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】如图,已知
为等边三角形,
,点
为边
上一点,过点
作
.交
于
点;过
点作
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与
函数关系的图象是( )
![](https://img.xkw.com/dksih/QBM/2020/5/6/2456906778222592/2458223541788673/STEM/232112de-7f77-4238-b16b-b5612904bc96.png?resizew=176)
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A.![]() | B.![]() |
C.![]() | D.![]() |
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