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1 . 设二元一次方程组
恰有一组解(α,β), 则方程组
解(x,y)等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a1e7eed925bba05d687a9d993de75c.png)
A.(3α,3β) | B.![]() | C.![]() | D.(15α,6β) |
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2 . 已知m∈R,利用行列式求关于x、y的方程组
有唯一解的充要条件,并在此条件下写出该方程组的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa874531015277fe388e198acb31d20.png)
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3 . (1)设向量
,
,向量
垂直于向量
,向量
平行于
,试求
时,
的坐标;
(2)用行列式解方程组
(
为常数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d72c37a4a3a308e1f019a7b5074785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215e52cd8cf624e9dd412978fe4e81a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4407c0b2e5febf70f610bd00067f105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fdf7d989f77a32ca9e0361a9cc956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1da92a2fc2ce861e82f7192fe4e648f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfde0038de382d2be9701cea23ef7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1876f10610ac6e4f0529a6877e51415f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10c8b60c45bdd5a49b5c130e755d9e8.png)
(2)用行列式解方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26edc0fc55b1b933c016b5bb6c49d53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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18-19高二下·上海浦东新·期末
名校
解题方法
4 . 将一枚六个面的编号为1,2,3,4,5,6的质地均匀的正方体骰子先后掷两次,记第一次出的点数为
,第二次出的点数为
,且已知关于
、
的方程组
.
(1)求此方程组有解的概率;
(2)若记此方程组的解为
,求
且
的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.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/7d4af77ba6b65c69d1b8116ad83176ce.png)
(1)求此方程组有解的概率;
(2)若记此方程组的解为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e5077761961e5014d353f5bdc07f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee21db6628e4db3f5831370549fa96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b170470d02c85c1be9a3faff5eca0de.png)
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5 . 解关于
,
的方程组
(
为任意实数).
(1)求
,
,
.
(2)当
为何值时方程组无解?当
为何值时方程组有解?并求出方程组的解.
![](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/f375d7781f7d027a8241a2ece2e183a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858c3c4dc236e86e671b1c68798dfbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c8e57fc5010386439814538b26095c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
6 . 若
成等比数列,且公比是
.
(1)求
的值;
(2)根据公比
的取值,讨论方程组
的解的情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c27a9af7db04a611063978a7990745e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce4c72725e50157f0a818be2ec2c594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1353e56a1414fd16edc17ae65db447a.png)
(2)根据公比
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2724514af437e764f207fa14ca817e7.png)
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7 . 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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8 . 已知关于
的方程组
.
(1)求
;
(2)当实数
为何值时方程组无解;
(3)当实数
为何值时,方程组有解,并求出方程的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d134ea2b014c368d45f332ec20b6b0d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f102776f17cf1cad74022655f2a1329.png)
(2)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 已知方程组![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ad467cfcbcc2dff5b77665f13a8e2.png)
(1)求证:方程组恰有一解;
(2)求证:以方程的解
为坐标的点在一条直线上;
(3)求
的最小值,并求此时a的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ad467cfcbcc2dff5b77665f13a8e2.png)
(1)求证:方程组恰有一解;
(2)求证:以方程的解
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbd4d32dcc1445563887de5d3ab7fb7.png)
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10 . 解方程组
,并求使得
的实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf9e63b8ffb13fe38a51e6fd57303eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f23be9638a5d5934d0a3c55f3156b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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