如图,∠B=∠C=90°,M是BC上一点,且∠AMD=90°,DM平分∠ADC,求证:AM平分∠DAB
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/ab8aef46-9fab-43c2-bc5c-74bff0b3addc.png?resizew=125)
更新时间:2020-11-20 15:32:04
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【推荐1】已知:如图,
,
,
.将下列推理过程补充完整.
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513721265963008/2514433987821568/STEM/45f8245bcd394221be5e32f8aaa5a400.png?resizew=142)
(1)因为
,
所以_____
______,根据_____________________________.
(2)因为
,
所以
_______,根据______________________________.
(3)因为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877facc4b1a8f330bb0cebb26a406ea7.png)
所以_____
______,根据____________________________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eedef1a0297f82cc58620ebaa16d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e8e59609f1c42d1aff0008ec23f31e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877facc4b1a8f330bb0cebb26a406ea7.png)
![](https://img.xkw.com/dksih/QBM/2020/7/25/2513721265963008/2514433987821568/STEM/45f8245bcd394221be5e32f8aaa5a400.png?resizew=142)
(1)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00eedef1a0297f82cc58620ebaa16d55.png)
所以_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
(2)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e8e59609f1c42d1aff0008ec23f31e.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
(3)因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877facc4b1a8f330bb0cebb26a406ea7.png)
所以_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
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【推荐2】已知:如图,AD⊥BC,垂足为D,点F是AB上任意一点,FG⊥BC,垂足为G,且∠1=2.求证:∠BAC=∠DEC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/fd7f33e2-b190-4950-8c3c-cfbc1e816e30.png?resizew=266)
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【推荐2】如图,AD∥BC,∠A=90°,E是AB上的一点,且AD=BE,∠1=∠2.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/81115258-150f-4f31-973a-2d7c1b598675.png?resizew=99)
(1)求证:△ADE≌△BEC;
(2)若AD=3,AB=9,求△ECD的面积.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/81115258-150f-4f31-973a-2d7c1b598675.png?resizew=99)
(1)求证:△ADE≌△BEC;
(2)若AD=3,AB=9,求△ECD的面积.
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