如图,
,
,
的垂直平分线交
的延长线于点
,交
于点
,交
于点
.若
,
,
的平分线交
于点
,则
的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133760237c0ccf2d6a83786925b6d23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/7b4c5069-e425-4edd-ad00-a2406bb2cd21.png?resizew=110)
更新时间:2024-02-23 11:18:21
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【推荐1】如图,Rt
ABC中,∠ACB=90°,∠B=30°,AC=2,D为BC上一动点,EF垂直平分AD分别交AC于E、交AB于F,则BF的最大值为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/2022/3/11/2933970331516928/2959420717408256/STEM/370fed30-de62-4fba-80e6-aa59e8ef3fc3.png?resizew=274)
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【推荐2】如图,在
中,
,
,
,按以下步骤操作:①分别以O和B为圆心,以大于
的长为半径画弧,两弧分别交于点C,D;②以O为圆心,以任意长为半径画弧,分别交OA,OB于点E,F;③分别以E和F为圆心,以大于
的长为半径画弧,两弧交于点G;④作射线OG,交直线CD于点P,反比例函数
上的图像经过点P,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b352fa3e781df195ceccca90c3932a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ec371d5dbc19d236bf8a1f084031e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1c246857ca287b626e33a66413eda7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909a84c5f1e6ceea48418209d17c3a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d092504d3c33c48be43f23b788efd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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【推荐1】如图1是一款多功能儿童餐椅,有坐和躺两种模式,图2是它的横截面示意图,已知脚架
cm,脚垫B,C两点之间的距离为80cm,靠背
cm,分离式餐盘AQ与B,C所在直线平行,固定支撑杆AE平分∠BAC,坐垫EG与AC交于点F,且
cm,脚踏GH始终与AC保持平行,当调到坐式时,
,则此时点D到AQ的距离为______ cm,当调到躺式时,坐垫EG会沿EF方向平移,从点E恰好移动到EF的中点
,GH移动到
,靠背DE向下调整到
,此时
,则点D向下调整的高度为______ cm.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/95c0df87-49fa-47be-8c24-f095905706f7.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b5f64c51dc1f5ea0a838f066f7d2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357f980f116fccfa82ba6d4cf62430a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf004991d64ec5d7de18a9f5bd980fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105068b25f5a63af32f4082cfe08691e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3db8904d646da962dad4f206ac17b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f23c76692342e0cf0e026b7b9c9432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f047e38afb66e44eaac8e7a15853b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/95c0df87-49fa-47be-8c24-f095905706f7.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/fc4c45a6-472b-4f6f-a905-4c35bbc66495.png?resizew=176)
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【推荐2】如图,在矩形
中,
,
,点M在
边上,以每秒
的速度从点A向终点B运动,连接
,以M为顶点,
为一边作
,另一边交
边于点N,过点D作
于点P.
(1)经过2秒,点P的路径长是________ ;
(2)在运动过程中,线段
长度的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747a8af5bec906ee2fee478264953a26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9547f6b5c7c54d216ecea72becb7d373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322b99b289c09a226e1fe31dd6fc6316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a448e8851ac1a0569c10bfce182ea3d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/14/6f3c16c3-1f84-4185-b01b-8f088bf3da1b.png?resizew=152)
(1)经过2秒,点P的路径长是
(2)在运动过程中,线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
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【推荐1】如图在矩形ABCD中,AB=6,AD=8,E为对角线AC上的动点,EF⊥DE交BC边于点F,以DE,EF为邻边作矩形DEFG.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/17/647587bf-ce40-4948-b089-5f30d9d2f7e6.png?resizew=159)
(1)当AE=2时,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdf9ff641e59a9b240b8147db475708.png)
_______ ;
(2)点H在AD上且HD=3,连接HG,则HG的取值范围是_______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/17/647587bf-ce40-4948-b089-5f30d9d2f7e6.png?resizew=159)
(1)当AE=2时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdf9ff641e59a9b240b8147db475708.png)
(2)点H在AD上且HD=3,连接HG,则HG的取值范围是
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【推荐2】如图1是超市的手推车,如图2是其侧面示意图,已知前后车轮半径均为
,两个车轮的圆心的连线
与地面平行,
与地面平行,
,车轮圆心
在
的延长线上,支架
.支架
,测得
,
,
,
,并测得扶手前端
到地面的距离为
.则点
与点
的距离为______
;手推车内装有简易宝宝椅,
为小坐板,打开后,椅子的支点
到点
的距离为
,
,
,
则坐板
的宽度为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa5088fedf996af3d7c50a39bdaae73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6d946ec5bc75341f7e5fe400054464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db18f7e1337810ae94ec5ec9b7602275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0903d50cb1831791488661be455bcb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2440b5173e0f20cafce5e5d16452624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c822eb24cb3c444836d512f204cac4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8944d00d70fc105c0ae6c93001b6a25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae57e49b519bb89ea02274318a34438d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff748d864eeeefef79124c297c0675c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be2188f0df4273a791c034bf207d4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e92802db46a0a7ab890d7043c2c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b6e8833e3a67969fec514741f30ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae57e49b519bb89ea02274318a34438d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/70839e2e-8d14-45d8-a4ac-c9db8007c2d6.png?resizew=322)
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【推荐1】如图,
为等边三角形,点D,E分别在边AB,AC上,
,将
沿直线DE翻折得到
,当点F落在边BC上,且
时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7f32e4c7d1fcafc3fe0dbcf08fdd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f2ba90ec61c9b714572e8322074f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa32da03ecab4a5a65865599a913ddeb.png)
![](https://img.xkw.com/dksih/QBM/2022/3/18/2938911255756800/2942405490081792/STEM/435fdd20-8dc7-44f6-8142-2e8716c3b6da.png?resizew=172)
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【推荐2】如图,正方形ABCD中,E在射线BC上,连AB、DE,则
的最小值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefd4b2184d5660c6e44cfd2ee099d85.png)
![](https://img.xkw.com/dksih/QBM/2021/4/7/2694516256546816/2695553002496000/STEM/c761520a-91c3-41f8-a280-096a2fc9be6c.png)
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