如图,在Rt△ABC中,∠ACB=90°,AC=3,BC=4.分别以AB,AC,BC为边在AB的同侧作正方形ABEF,ACPQ,BCMN,四块阴影部分的面积分别为S1,S2,S3,S4,则S1+S2+S3+S4等于____ .
![](https://img.xkw.com/dksih/QBM/2020/5/3/2454870949535744/2455496408367104/STEM/0e22a52e74c040f4824bf2543af1aacd.png?resizew=177)
更新时间:2020-05-05 17:39:10
|
相似题推荐
填空题
|
较难
(0.4)
名校
【推荐1】如图,在
中,
,
,
平分
交
于点E,
于点D,
交
的延长线于M,连接
.下列结论:①
,②
,③
,④
,⑤
;其中正确的结论有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84be64d28b1623e71ad989f37336b1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba870ac7e456d8daa098c9d52aeccc2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a8550e95c4f3b966b0e262b3c1bb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f07015a11b7ef7e6e834ca04cad836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532aece6cfd67e2a97977eed978dbf2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ab46164b23af7a4c4907f176e392ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a519c8ae95be9cc109e8bd140bc7d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/462d957f-bd6e-411d-935f-b8398b243f68.png?resizew=139)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图所示,
是等边三角形,
,
为
的中点,点
在线段
上,连接
,以
为边在
的右下方作等边
,
的延长线交
于
,连
,当点
在线段
上(不与
重合)运动时:①
与
互补;②
;③
是定值;④
是定值.以上结论中正确的有 ________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0520e9675bc1b416e8b8f01eb69fd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9c332ad200f0bb51b013a3668146eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90026b96116424a245b335b1adb886b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ae4cf6c60e7535457439d62f04cf6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b484c5cf94ca858eaee230624bae390c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8415609ba6f04253eeff692997698e82.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/dfa6a1b6-c24d-456c-84ff-ecdf5b20042d.png?resizew=142)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐1】如图,这是著名的“赵爽弦图”,我国古代数学家赵爽利用它证明了勾股定理.它是由四个全等的直角三角形拼成得到正方形
与正方形
.连接
,若
恰好被
平分,已知
,则正方形
的面积是______ ,正方形
的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1496042c1d721cffd25053e997a9a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/586000e3-bf57-4377-889b-eae48b52d23c.png?resizew=178)
您最近一年使用:0次
填空题
|
较难
(0.4)
【推荐2】如图,
中,
分别以
为边在
的同侧作正方形
,则图中阴影部分的面积之和为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caf9ab9dcfa2b9cbab1cf3645c1c54c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504f0c0547a40bdbd23769f01e34a547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc194f71e83f196af90c7974a86e756.png)
![](https://img.xkw.com/dksih/QBM/2020/5/9/2459250532147200/2459905275674624/STEM/4d62164035d5475591a5c5ed75f3b04a.png?resizew=207)
您最近一年使用:0次
填空题
|
较难
(0.4)
名校
【推荐1】如图,在正方形
中,
是对角线
上一点,且满足
连接
并延长交
于点
,连接
,过
点作
于点
,延长
交
于点
在下列结论中:①
;②
;③
;④
,其中正确的结论有______
填正确的序号![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0632f440893ee1718b961a444117f1b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d95b61ec1e624487162d4d739ceb48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa4ecbe57994125c6d4cf3b272c5e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13aebe0954622b01c59419d0735d5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb39f38f7cfc3dabd6931c9b76205aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3235bef2afa0ce9566c59eb2a7b378d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d110b3822143fd7acba8c01b7a18bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/26/26858b75-a94f-432c-ae73-49178a464567.png?resizew=148)
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的边长是3,
,连接AQ,DP交于点O,并分别与边CD,BC交于点F,E,连接AE,下列结论:①
;②
;③
;④当
时,则
,其中正确结论的是______ (请将正确的结论序号填写在横线上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cdc346d78b31a196d99e910b39469e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b11f2ea112fff1885811bd5bc73cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f70e805a233a766f0ab13ef47a87b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7885632753de83b5ebbcd0e8d4a2c059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d10f2db7289ff1ec65c47d9af77a9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0e65d4b527b522c775da2e8a233313.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/23/81ba3670-0ae8-4452-9759-131c27e16b19.png?resizew=160)
您最近一年使用:0次