名校
1 . 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
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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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解题方法
2 . 如图,在
中,
为边
上的一点
,
,
且
与
的夹角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/79e8634f-a3a8-4982-a54c-dbae4847b9a5.png?resizew=152)
(1)设
,求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2d7ec3ab513b8ce3ca2d7bf7b3ad95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c393c8b385666a9542b8b19653cf0c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a48472e502138c9c1a9cc87f54edf99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/79e8634f-a3a8-4982-a54c-dbae4847b9a5.png?resizew=152)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b461cbe5a345727bc752ef8a063cf7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680b47e9eb79fe5fb05e1df373a8cdd3.png)
您最近一年使用:0次
2020-07-27更新
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1659次组卷
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10卷引用:宁夏石嘴山市第一中学2021-2022学年高一上学期期末考试数学试题
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