1 . 已知矩阵
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fa11c5afea44c2f3f7780f9d88ec7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4caa6735c2b232a36559290cbac96b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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2 . 若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b84fa1487edf1b2bb4f0091f3a32e58.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f952be9744b877422aaf7caf95c6d991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66cc239e16520720a0f89ddd8853f453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b84fa1487edf1b2bb4f0091f3a32e58.png)
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3 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b8ac661edbca9ad5d1dcbececd90c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97a5bc3447232182b769992efe8248c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ae200f06d3d7e53adfe7282cabd36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b8ac661edbca9ad5d1dcbececd90c.png)
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4 . 已知矩阵
,
,若直线
依次经过变换
,
后得到直线
:
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7518f443fc7e83197084903da69c98dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3012d4eef6dc913205b440bd62aa6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d70d5962157e2116e7f1a267153967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3961f5681dca061c2d5eccdfa1d6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9450684ca4c5f6ee21f226f5f40abe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-11-06更新
|
136次组卷
|
2卷引用:2020年全国普通高等学校招生统一考试(江苏卷)模拟预测卷数学试题
5 . 已知矩阵
,矩阵
的逆矩阵
.
(1)求矩阵
;
(2)若曲线
:
在矩阵
对应的变换作用下得到另一曲线
,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9376f4eca61308cebd3cba615256af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b20490758703d7d98d03c7196c0955e.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e4a41cbe3d1f25154602dee11d36ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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6 . 设点
在矩阵
对应变换作用下得到点
.
(1)求矩阵
;
(2)若直线
在矩阵
对应变换作用下得到直线
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66c0f48576f27b690d19d5bbe8d0030.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72478b3d1f0e45a58fc0e4e6f8fc25a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
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7 . 在平面直角坐标系
中,曲线
的方程为
.设变换
、
对应的矩阵分别为
,
,求曲线
在依次实施变换下
、
后所得曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44af5d561dfd9cd5400d593add967a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79649c2ba27089bb838fabf737814dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
名校
8 . 已知矩阵
,若点
经过变换
后得到点
,求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b944a84cb88b12a6040e4586013e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d6bf3a9c48c3d16d78fa1062f08257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5030685d4bfdaba51d78d4678f3e101c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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名校
9 . 已知点
在变换
作用后,再绕原点逆时针旋转
,得到点
.若点
的坐标为
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e79d3583b37ec4f7cd0b8134aea5453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d03268e486f9fb09a44eca7d8ff7a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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10 . 已知向量
,
,若
,
的方向是沿
方向绕着
点按逆时针方向旋转
角得到的,则称
经过一次
变换得到
.已知向量
经过一次
变换后得到
,
经过一次
变换后得到
,…,如此下去,
经过一次
变换后得到
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7990349c87017f2ca70ec5d462b311b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4032e4e2b5a1f2e3d30949a26b4c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb55106647ecce34ef0af39724592b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdadc8dd3091aa683cedb22c8395cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdadc8dd3091aa683cedb22c8395cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5ff9fdc03e7e39389015badf076429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed9eda98abaa9124842592d72451da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0088da81b85b5983ec2fa61a65c9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca14b77c77c288f262d22a423a056cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7990349c87017f2ca70ec5d462b311b.png)
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