名校
1 . 如图,直角
中,点M,N在斜边BC上(M,N异于B,C,且N在M,C之间).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1aec8624-2ae9-46f1-bbcd-7648ff323745.png?resizew=169)
(1)若AM是角A的平分线,
,且
,求三角形ABC的面积;
(2)已知
,
,
,设
.
①若
,求MN的长;
②求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1aec8624-2ae9-46f1-bbcd-7648ff323745.png?resizew=169)
(1)若AM是角A的平分线,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3432d20e661779ddcefda76afcc2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35378828ca211fae49c9a4efc2d61678.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac2ae98eb223b4fe33e53e9d3ba4cc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6befdc78e8e955a9fed0e0893a8a3194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289a5d041c76475437bf2ab8d1169280.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37d54554f5b3d167c2398fa6698b8b7.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a9fc2dda89829fa2c610a8fce86d22.png)
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2020-03-03更新
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7卷引用:山东省青岛市青岛第五十八中学2023-2024学年高三上学期10月月考数学试题