如图,点
是正方形
内一点,
是等边三角形,连接
、
对角线
交
于点
,现有以下结论:①
;②
;③
,其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/2021/5/10/2717814417809408/2723164974383104/STEM/bef02a55-272f-4336-8854-477ffb726374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad3e2b2689dfe97ec82d473ab6cf469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f830b621c8cb84de3161cbdaf7f21fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a69fcb7ed01df495de6fdd2a94f7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1630682b301c2ee89b79c79058b73a1.png)
![](https://img.xkw.com/dksih/QBM/2021/5/10/2717814417809408/2723164974383104/STEM/bef02a55-272f-4336-8854-477ffb726374.png)
A.4 | B.3 | C.2 | D.1 |
更新时间:2021-05-20 17:14:24
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【推荐1】如图,已知点P是正方形ABCD内一点,连接AP、BP、CP,AP=1,BP=2,CP=3( )
①∠APB=135°;②点B到直线AP的距离是
;③S正方形ABCD=5+2
;④S四边形APCD=3+
.
![](https://img.xkw.com/dksih/QBM/2021/9/10/2805304883281920/2805814159958016/STEM/5d2b0e6b-eb16-4800-b7e9-d5b6156ba496.png)
①∠APB=135°;②点B到直线AP的距离是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2021/9/10/2805304883281920/2805814159958016/STEM/5d2b0e6b-eb16-4800-b7e9-d5b6156ba496.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,在正方形ABCD中,E、F分别是BC、CD上的点,且∠EAF=45°,AE、AF分别交BD于M、N,连按EN、EF,有以下结论:
①△ABM∽△NEM;②△AEN是等腰直角三角形;③当AE=AF时,
;④BE+DF=EF;⑤若点F是DC的中点,则CE
CB.
其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/3/20/2423436728115200/2423691361910784/STEM/04b78f3747bf47b1a314d9e0d74d5c3f.png?resizew=151)
①△ABM∽△NEM;②△AEN是等腰直角三角形;③当AE=AF时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b32dd4f1a216942a8ef2bc26a543be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c5d929275f266600a87333c59da3f4.png)
其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/3/20/2423436728115200/2423691361910784/STEM/04b78f3747bf47b1a314d9e0d74d5c3f.png?resizew=151)
A.2 | B.3 | C.4 | D.5 |
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【推荐1】如图,矩形ABCD的边DC在x轴上,点B在反比例函数y=
的图象上,点E是AD边上靠近点A的三等分点,连接CE交y轴于点F,则△CDF的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/a03d6e46-df1c-42c3-9340-055386f12deb.png?resizew=176)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d128796cd2ff664fc3866c5713045c27.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/a03d6e46-df1c-42c3-9340-055386f12deb.png?resizew=176)
A.2 | B.![]() | C.![]() | D.1 |
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【推荐2】如图,在平面直角坐标系中,点
,点
,点
,以点A为圆心,4个单位长度为半径作圆,点C是⊙
上的一个动点,则
的最小值为( )
![](https://img.xkw.com/dksih/QBM/2021/6/24/2749976754446336/2750465532387328/STEM/a9718be7-adae-4ed0-81d0-ea959276f07b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b607952ec356379369ff13eb269874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d429efe96d68065e7d433c996682791d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17905988258f795b4eb172b19ad2d7fa.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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