如图,等边三角形ABC的边长为12,AD是BC边上的中线,M是AD上的动点,E是AC边上的一点.若AE=4,则EM+CM的最小值为________
![](https://img.xkw.com/dksih/QBM/2022/4/7/2952814901944320/3063559581196288/STEM/8451e086b3ac450a80a0c48c26c60a18.png?resizew=172)
更新时间:2022-09-10 18:10:50
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【推荐1】已知
,点
在
的内部,
,
与
关于
对称,
与
关于
对称,则△
的周长为_____ ;若
上有一动点
,
上有一动点
,则△
的最小周长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6131160eaee962470abc7771df265c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac24e903b31735306ad92c79329eaee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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【推荐2】填空:
(1)单项式
的次数是________ ,系数是________ .
(2)数轴上与表示数1的点的距离为8个单位长度的点所表示的数是________ .
(3)若
,则
的值为________ .
(4)儿子今年12岁,父亲今年40岁,则再过________ 年,父亲的年龄是儿子的年龄的2倍.
(5)下列说法:
①将8.1045用四舍五入法精确到百分位,得到的近似数是8.1;
②钟表上的时间是9:30,此时时针和分针的夹角是
;
③将弯曲的河道改直,可以缩短航程.其中蒀含的数学道理是“两点之间,直线最短”;
④若
,则a是非负数;
⑤如图,若
,则射线
的方向是南偏东
.
其中,正确的有________ 个.
(1)单项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6eea0c6095dd9c7ecd96a1d21e1dfd.png)
(2)数轴上与表示数1的点的距离为8个单位长度的点所表示的数是
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf11c8fe8a69a07b70d91559490376a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0cd083b90577fac3a0096d6e7fe6d24.png)
(4)儿子今年12岁,父亲今年40岁,则再过
(5)下列说法:
①将8.1045用四舍五入法精确到百分位,得到的近似数是8.1;
②钟表上的时间是9:30,此时时针和分针的夹角是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b975f35ecfc9641688e682bcee70e1f4.png)
③将弯曲的河道改直,可以缩短航程.其中蒀含的数学道理是“两点之间,直线最短”;
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e3ab57dac25b6c513c950e7b9bb356.png)
⑤如图,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a166225f9ada66c353e21ee2262d42c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
其中,正确的有
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/5/29d8054a-0a02-4c94-a25a-65eee02f650f.png?resizew=153)
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【推荐1】如图,
是等边三角形,
,点D在边
上,且
,E是边
的中点,将线段
绕点B顺时针旋转,点D的对应点为F,连接
,当
为直角三角形时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5f441402ee632377b6bedeb060f3d9.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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![](https://img.xkw.com/dksih/QBM/2022/11/4/3102138660454400/3124510837637120/STEM/09ae3a82fe634c909dd1ceffda73f98f.png?resizew=136)
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【推荐2】等边三角形的边长为2,则它的高为_________ ,直角三角形两直角边长为5和12,则斜边上中线长为____________ .
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【推荐1】如图,在平行四边形
中,E,F分别为
,
的中点,
.若
,
,则
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb456c912e01458c19b06e83a5c9d.png)
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【推荐2】如图,Rt△ABC中,AC=5,BC=12,分别以它的三边为直径向上作三个半圆,则阴影部分面积为_____ .
![](https://img.xkw.com/dksih/QBM/2019/5/21/2208324852596736/2208687270166528/STEM/09e5b3a5592e4b6bb3b0bb2891722f91.png?resizew=150)
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