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解题方法
1 . 已知锐角
中,角
,
,
所对的边分别为
,
,
,其中
,
,且
.
(1)求证:
;
(2)已知点
在线段
上,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084399e0edc1c3bfb33b338987dcfa5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098943e98ad321740f83f0bb67004598.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f44c181a2f6ae22d5d52b374768dc57.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eab3edfe4687c78c290b7e7e5e0cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
您最近一年使用:0次
2024-05-11更新
|
1179次组卷
|
3卷引用:宁夏回族自治区石嘴山市第一中学2023-2024学年高一下学期5月期中数学试题
名校
2 . 如图所示,在△ABC中,点D是边BC的中点,点E是线段上靠近A的一个三等分点,过点E的直线与边AB,AC分别交于点P,Q.设
,
,其中
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ce10d13e84bc67c1a12f0acd35d9d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/a39fda62-9563-45f7-b5dc-c1e1bc04ea7a.png?resizew=128)
(1)求证:
为定值,并求此定值;
(2)设△APQ的面积为
,△ABC的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a96f93c74e45318dab2ef44893ad687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e20b752572a7e0ab2e32e4a93a8c8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ce10d13e84bc67c1a12f0acd35d9d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/a39fda62-9563-45f7-b5dc-c1e1bc04ea7a.png?resizew=128)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)设△APQ的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次
2022-10-29更新
|
651次组卷
|
2卷引用:宁夏六盘山高级中学2023届高三(提升班)上学期期中考试数学(文)试题
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3 . 如图,
是平面四边形
的一条对角线,已知
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f482ed50-9b3d-466e-b5be-9c9671bb8e13.png?resizew=185)
(1)求证:
为等腰直角三角形;
(2)若
,
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4355c3b7f9a75c91aae33d869f0350b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcc535649e4f8c842a63d724bfd8cc9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f482ed50-9b3d-466e-b5be-9c9671bb8e13.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb961bd7db3adb76af2d4cedb611bd7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2020-02-15更新
|
488次组卷
|
3卷引用:宁夏银川市第二中学2022-2023学年高一下学期期中考试数学试题