名校
1 . 如图,正方形
中,
分别为线段
上的点,满足
,连接
交于点
.
;
(2)设
,求
的最大值和
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3355e2fa0ac6c675f02ee36c3ced4f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f8eebda19eded2b059774a8c2666c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bfb96c6a7b5bf01bb15042355ac215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f49d1de7c6dfc04b6e84e23eec0a1d7.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8979e5728aef6fa57b6970525afcb6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a61103ea69687ba91d5b380c0e2238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d6a99033826bd1b44f58b9e11ff52e.png)
您最近一年使用:0次
2024-04-11更新
|
408次组卷
|
2卷引用:辽宁省抚顺市第一中学2023-2024学年高一下学期3月月考数学试题
解题方法
2 . 已知点
,
,
.
(1)求证:
;
(2)要使四边形
为矩形,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709c86fa3287fa4aca67c65e8316418f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12875fcf35ee2756a8faec544afa4ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ca5e0ad63152815412327720ff22f6.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
(2)要使四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,在
中,
,
,
,将
绕
点逆时针旋转
得到
,连结
,
,设
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/d082c4ca-dd0a-42a0-8ca3-663a5054b07e.png?resizew=138)
(1)若
(
),则
__________;
(2)求
;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ec371d5dbc19d236bf8a1f084031e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3dfcd8aff269dd5aba398816490c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807ca16360c0cca436e59d4be98f626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/d082c4ca-dd0a-42a0-8ca3-663a5054b07e.png?resizew=138)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2605dc6f45fb5936f950cfe7d5322461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b257e6bd202cd2dfd30b4ae8445129.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890c4bcc71c6ba24301e364c29a6a05a.png)
您最近一年使用:0次
2022高三·全国·专题练习
解题方法
4 . 已知平行四边形ABCD的三个顶点A、B、C的坐标分别是
、
、
. 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7e88b74f492f89e21e4cf65353bdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceff0e7d103475c3ba9a2712f373185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f4e350e818248c549a171c1141f436.png)
您最近一年使用:0次
5 . 设
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a118181a9809d092e99b27e9299bdb6.png)
(1)求证
与
不共线,并求
与
的夹角的余弦值;
(2)求
在
方向上的投影;
(3)求
和
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd815ba194492fc6ec7505a3e9030f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09da986490792746d07005ad795d5505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a118181a9809d092e99b27e9299bdb6.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee437e6ff470c2f67b8429f57b90ae37.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a87c03982d3af82c243fe0cca504f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae98586d80f892771c90ab39eaced90.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44cf9e2b1be0f72e5d5fb47ffbf6fe1.png)
您最近一年使用:0次