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1 . 用行列式解关于
的方程组
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b2c3f179071927c96631fe75d1e782.png)
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2 . 若矩阵
与
满足
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9511f4c7c3f6eb94f54152e67e50427c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72885b199c12c6160ab6518335e12b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9bee7a3e6a2c01e3196fd1dbe40cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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3 . 已知等比数列
的首项
,公比为
;
(1)若二阶行列式
,求公比
;
(2)利用二元一次方程组解的判别式,讨论
的解的情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)若二阶行列式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a68b3de5e9d06081b746aaaa0b2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)利用二元一次方程组解的判别式,讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2963cec0abe299817b08f31a2afbfdfc.png)
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4 . 设数列
是公比为
的等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced42c0f91c4921a3945eda52586de12.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced42c0f91c4921a3945eda52586de12.png)
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5 . 三阶行列式
中,元素3的代数余子式的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78203978df655931ae029ff46f96e67c.png)
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6 . 若关于
的方程组
有唯一解,求实数
的取值范围并求出此方程组的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212208c70ee2ec2773162b60bded2d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 行列式
中元素
的代数余子式的值为5,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486e0d46bdc25939b20b1ba8cd43a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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8 . 已知矩阵
.
(1)求直线
在
对应的变换作用下所得的曲线方程;
(2)求矩阵
的特征值与特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56bda572d3b5246c833d709a3e88bfa.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c1212804e6d784756d48083d166e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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9 . 已知矩阵
,
,则矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3e738f9c413a0b1e3de7479b8b244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b9b24f590c7dd1de8fd77cb8d5309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
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2020-04-24更新
|
81次组卷
|
2卷引用:江苏省徐州市2018-2019学年高二下学期期末理科数学试题
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解题方法
10 . 规定:行列式
=ad-bc,则函数y=
的最小正周期是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a3d53e4f2d7164a84b04f49cfffc41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdecdcafac05e6549670c299dd766cd.png)
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