名校
1 . 解关于
,
的二元一次方程组
,并对解的情况进行讨论.
![](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/e6bea6eaa806d4cfa739633bc4d9f827.png)
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2 . 以下向量中,可以作为直线
的一个方向向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed6eae10db11b6cff33b84a7ab57cd5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 二阶方阵
称矩阵
为A的转置矩阵记作
,设M、N是两个二阶矩阵,对于下列四个结论:(1)
;(2)
;(3)
;(4)
是“
”的充分不必要条件;其中真命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef5a391556b93459424c3290723d85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e85eba90133884a401a05bf194026b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43119d8fbc6109491526b1a2fb7fd5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae0a6e3e8a6412479765aab95f0cb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c24758c46e929af55a39db39f84f701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2eb0c8c6fd1e9f589fdebc68fec9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25e2166e930e610667a2e3020e41040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6cf79926d7ac35864fc0d5eeff08f2.png)
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16-17高三上·上海浦东新·期中
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4 . 矩阵的一种运算
,该运算的几何意义为平面上的点
在矩阵
的作用下变换成点
,若曲线
在矩阵
的作用下变换成曲线
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c158a0dafc1ed72d4cd92ce8be537d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eaadd274b7644891f5550a799a11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f989e3dc5d752aa2638069f325807db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb99abc26156c2dfe6941041e7e9f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5339be0bc4d6f090b6de7112636d500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760a793ad8dadeba59aef81106e95288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4753f4a4456d0df13843b71015bfa14.png)
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5 . 用行列式讨论下列关于
、
、
的方程组
的解的情况,并求出相应的解.
![](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/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8ba705e34e595b58609289bc36cb03.png)
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6 . 解关于
、
的方程组
,并对解的情况进行讨论.
![](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/6c8bec01469ad10491be9a633ea52ca0.png)
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14-15高二上·上海徐汇·期中
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7 . 已知矩阵
,
,
,
,若PQMN.
(1) 写出PQMN所表示的关于x、y的二元一次方程组;
(2) 用行列式解上述二元一次方程组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f56c901d052f8009e4e1e83896d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff38224c367aa75686cf46e6c7292b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d756825f18f58133b0883db98c75df2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5807b07695c82675d08ff36c2fcd63e.png)
(1) 写出PQMN所表示的关于x、y的二元一次方程组;
(2) 用行列式解上述二元一次方程组.
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8 . 在数列
中,
且
,若
是
的前n项和,则
_______________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b591ab657a9cfd908d6011ef5afa2318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58abe92020722722506c7b12c7879ac5.png)
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9 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0468eec40a6f3f0f2162d21ac0e754.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fee698da9e22cf746a1c05b16ce24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0468eec40a6f3f0f2162d21ac0e754.png)
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10 . 已知等比数列
的首项
,公比为
.
(1)求二价行列式
的值;
(2)试就
的不同取值情况,求解二元一次方程组
.
![](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/1055b31cfe154ae3b9c4ed540bdb5973.png)
(1)求二价行列式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5544e46205491f0b9b8394925242fb.png)
(2)试就
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a71672967131c3ce6e7640f1b368402.png)
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2020-02-01更新
|
139次组卷
|
2卷引用:上海市控江中学2017-2018学年高二上学期期中数学试题