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已知曲线eqId7bee6978188343bdb8cc62594dd2f3f1,先将曲线eqId19a4eb16029e4550a14f2afe4741a3c3作关于eqIda9cd3f94eb8045438f75e9daccfa7200轴的反射变换,再将所得图形绕原点顺时针旋转eqId4f1f8e9318304058ad58388cc72955ae
(1)求连续两次变换所对应的变换矩阵eqId2381423d4cd146cab95f55527681a766;
(2)求曲线eqId19a4eb16029e4550a14f2afe4741a3c3eqId6e9da55fc3a4476f8bace6c635686ea7作用下得到的曲线eqId9f80eb8ed4c84477bfa2973facf1aea0的方程.
已知矩阵eqIde25038a48322465d85776d9caaf51d85,所对应的変换eqId6e9da55fc3a4476f8bace6c635686ea7将直线eqId3ddf9dfeee7d49b5a53ce51a806ccbc4变换为自身,求实数ab的值.
已知二阶矩阵eqId2381423d4cd146cab95f55527681a766的逆矩阵eqId2a4f532057b44df6bfeca49e47aa9c10
(1)求矩阵eqId2381423d4cd146cab95f55527681a766
(2)设直线eqId06a436ca9a12448eaa28c129b89f81d9在矩阵eqId2381423d4cd146cab95f55527681a766对应的变换的作用下得到直线eqIda20558bac276438caa0c85b6224a1e5c,求eqIda20558bac276438caa0c85b6224a1e5c的方程.
难度: 0.65 | 2020·贵州高一期末
如图一,在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,eqIde8ad06080aa84798a9671fa7f4ced922eqIda0f10de0e9cb4ac0b7b148079809b5df,请根据以下信息,处理问题(1)和(2).信息一:eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,eqId983db280d6b84e33afca20ddff40e0c0,若将eqId0537b68706f143e8a3bbc07c7ec4608f顺时针旋转eqIdcbf8f098b4634cf49e9e651e10b7cf1d得到向量eqId06971a1ef89e44b5a5ae8c68d84c2023,则eqIdd63984f57f0041008280531991a0286f,且eqId9ebcb4430dac446280db62e676156967;信息二:eqId983db280d6b84e33afca20ddff40e0c0eqId678e2cd7862b4a03bd9934c7da412a22的夹角记为eqId50619b805a9743fe980db51e08985a46eqIdd63984f57f0041008280531991a0286feqId678e2cd7862b4a03bd9934c7da412a22的夹角记为eqIdc13953f2514e4c8f9c8aaaf5241c33ac,则eqId21bde892ccfb4784bce3df70105c19ce;信息三:eqIde1c4ad5dd9c14b1187bc808e258c1aee;信息四:eqId94a0983ea21c4790a2868a2670f84874,叫二阶行列式.
说明: figure说明: figure
(1)求证:eqIdc9af37e802de4986b2851ebec439e384,(外层“eqIde16f147a35e04af7acea66443e5f6783”表示取绝对值);
(2)如图二,已知三点eqId29080c91a1b44f30aa5d9bc21982c0f4eqId0a90721f10504dc88119b11e6c20d0e7eqId16e60c707dab4373bc4c00e33922a879,试用(1)中的结论求eqId9410460896504782b5c63d3407fc940c的面积.
已知矩阵eqId890a7c89075549ffb9ec76dcce2802b1
(1)求矩阵eqId2381423d4cd146cab95f55527681a766的逆矩阵;
(2)求该矩阵的特征值和特征向量.
设点eqIdf2b0a9f60be34f4a9a79dce3fbc11d84在矩阵eqId2381423d4cd146cab95f55527681a766对应变换作用下得到点eqIdc0dd2ee509484eebbbfbef9e3289fb35.
(1)求矩阵eqId2381423d4cd146cab95f55527681a766
(2)若直线eqId0a779f9bcb024589be27313c5bc13fae在矩阵eqId2381423d4cd146cab95f55527681a766对应变换作用下得到直线eqIda20558bac276438caa0c85b6224a1e5c,求直线eqIda20558bac276438caa0c85b6224a1e5c的方程.
已知矩阵eqIdab486f1b51f941eb84aa5caa296e64b7,其中eqIda2b0c192deab48e2af4358c1140d0020,若点eqIdef98b5a4b16547d6b621d4e4626cd696在矩阵A的变换下得到的点eqId25b66e2c5c63406e9c598152c6d8ca71
(1)求实数mn的值;
(2)求矩阵A的逆矩阵eqId73bb7789145d45159dee703434e49732
难度: 0.85 | 2020·江苏高三其他
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已知矩阵eqId296e32917b68472dacec5ecb9f611cefeqId6900bb3bee414dcd94b7d9e5fa2caaf2,且eqId1e9d0be564b648ea8c04e5eea843ced3.
(1)求矩阵eqId2381423d4cd146cab95f55527681a766
(2)直线eqId417e80f1349244878d01fe90e0891f5f在矩阵eqId2381423d4cd146cab95f55527681a766对应的变换作用下变为直线eqIdaea680e3b1334e24b3d9ab56f454ec58,求直线eqId417e80f1349244878d01fe90e0891f5f的方程.
已知点eqIdcc614bd3390c4d028df189b234dcc351在变换eqIdb8c1c0f6de7e4e199a8944716bb95841作用后,再绕原点逆时针旋转eqId4f1f8e9318304058ad58388cc72955ae,得到点eqId8754ce8cf7f34f04abb9a0c041f57f5c.若点eqId8754ce8cf7f34f04abb9a0c041f57f5c的坐标为eqId80c3c59058d1473597fc59fcf398190a,求点eqIdcc614bd3390c4d028df189b234dcc351的坐标.