解题方法
1 . 在平行四边形
中,
为坐标原点,
,
,点
在函数
的图象上,则实数
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e3be5041c6034f69dcee2614c80e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f209e05f98c37ff59a3cc5499710e40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 对平面直角坐标系
,保持
轴不变,将
轴绕原点顺时针旋转
后形成的新坐标系
称为
斜坐标系.原平面内任意一点
,经过上述变化后在
斜坐标系的对应点为
.对于如图所示的
,设点
在
斜坐标系中的对应点分别为点
.已知线段
上存在一点
,分
所成的比为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/4c7edd10-77ac-4396-9d2b-570a96148545.png?resizew=169)
(1)求
的面积;
(2)已知
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc439c8dd910f1ce5aac8cdcad942b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98226d9d5a14f9572a862e62b5c6aee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c5b9d864b406b04cdbaf4e8972e4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb94640ab11447c26a9c4f272ba192d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/4c7edd10-77ac-4396-9d2b-570a96148545.png?resizew=169)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9fcf44e5f105d71562ad54cc6a4b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975fc183ba81c67cba79a2b2567907ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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3 . 如图,在矩形
中放置了如图所示的5个大小相同的正方形,其中
,
,设
,考虑向量
与
可得正方形边长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8221601c7bd5c51fd520615581fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32fb4a33e424150f5def117f0106b10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690ed857fecbea5575496c34c1c3067f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572ce9aed5ba709a84a6aa20b245dc58.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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