如图,已知正方形
的边长为
,在边
的延长线上有一动点
,以
为对角线作正方形
,连接
,
为
的中点,连接
、
则当
的面积最小时,正方形
的边长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f13007c6d134c50004c62dc240707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2051742fa22ebe2c63538e2fb447dcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f13007c6d134c50004c62dc240707.png)
更新时间:2024-05-18 10:14:41
|
相似题推荐
填空题
|
较难
(0.4)
【推荐1】如图,在正方形
中,点F为
中点,点E在对角线
上运动,若
,则
长的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda93f53edfafc7548fea570f3ae9dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/19/0ac9492b-9eae-4a99-8958-d8f922ed4c99.png?resizew=155)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图,在
中,已知
,
,
,
平分
.若
分别是
和
上的动点,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd90bfa2987b84df430498021d5f648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed3a08add0f389dbe3f7f74575faf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6f3d14d4c0d628472a0b5dbd603f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17fed7cce1ee38ac359c47735f559ca.png)
![](https://img.xkw.com/dksih/QBM/2019/3/4/2153324479283200/2153431883505664/STEM/75e86028432a49f48c5809ebf898862d.png?resizew=180)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐1】如图,点
,
,
分别为
的三边
的中点,点
,
,
分别为
的三边
,
,
的中点,依次进行下去,…若
的周长为2,则
的周长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2984c15d92802804538257180f628f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37d4eed20aa8ae7047503181875809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/9/4099dcb3-be2b-4370-a14d-240078fd67fd.png?resizew=243)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图,在Rt△ABC中,∠ABC=90°,AB=8,BC=6,点D是半径为4的⊙A上一动点,点M是CD的中点,则BM的最大值是_____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/39f33bc7-e973-4bbf-bbd2-0c682d055de7.png?resizew=128)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐1】如图,△ABC中,∠ACB=90°,∠A=30°,BC=1,CD是△ABC的中线,E是AC上一动点,将△AED沿ED折叠,点A落在点F处,EF线段CD交于点G,若△CEG是直角三角形,则CE=____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/22/c1bfc17b-f5c4-4d81-a64f-751e8218744c.png?resizew=159)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图,在锐角三角形
中,
是
边上的高线,
是
边上的中线.若
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
________ (用含a的代数式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8fb32ae05a9c1abd3374f5c5f7a999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061f92c5ab3d6947ea374f799311a5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/97f2b4fc-2500-431e-be97-694156065f90.png?resizew=191)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐1】如图,正方形
的边长为4,点
是边
的中点,
,
交正方形外角的平分线
于点
.
的面积为______ .
(Ⅱ)若
是
的中点,连接
,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7521601ac1fbc4a52d4fe44be9c8e88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e5a933a2a0ff3a28009cc989293ff5.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图,正方形ABCD的边长为6,点E是BC的中点,连接AE与对角线BD交于点G,连接CG并延长,交AB于点F,连接DE交CF于点H,连接AH.以下结论:①CF⊥DE;②
;③AD=AH;④GH=
.其中正确的结论是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b975861499e69d41c12c92d389932a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cffd6c18cc0bb981de2bf0f10c8aed2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/576bd73d-d00c-4a8f-8204-db4917279e41.png?resizew=159)
您最近一年使用:0次