1 . 展开并化简下列行列式:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cffc9d8d89f9434954d164430a014e.png)
__________ ;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc8f4ff198d3d91f0d3d2bdedf541b3.png)
____________ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cffc9d8d89f9434954d164430a014e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dc8f4ff198d3d91f0d3d2bdedf541b3.png)
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2 . 将代数式
用行列式表示为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde8206f0ee2885a0ad2a9617e2d4bbb.png)
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3 . 已知矩阵
,矩阵
,向量
经过矩阵A变换为向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
_______ ,变换后的向量与原向量关于直线__________ 对称.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe583308420e454fd3f178f981b809f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac01b83eaa516bcfc9f0008aa024c887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7552498f28957497b2e484f37b69d747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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4 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da95bc061b8d30f544f43ba4ee298458.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da95bc061b8d30f544f43ba4ee298458.png)
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5 . 函数
的最大值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7e0eb84d9d19131a5978733e85276d.png)
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6 . 将
表示成一个三阶行列式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2381668f5db54a7fa892766e9de93b48.png)
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7 . 若
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8bb135a3dce94ad7e096125c558f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acff9e018c7c4fe86a925669aef8c3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4deef4b0c87148779c115f2bc889e76e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b9628add5c8c3798d91b0da6e74f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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8 . 方程
的实数解是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3f93235aae48f63edcd7622973c243.png)
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9 . 设
,计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05dcd0b803c5b77cd73add9eb136ad5c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af26da329d5a2f07875856b3529952e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05dcd0b803c5b77cd73add9eb136ad5c.png)
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10 . 二元一次方程组
的增广矩阵是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e908e2b974a6b2b9ceb52dde798d6aa8.png)
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