设向量 [tex=2.286x1.214]/Uu9jgxB4g+DifSL38NMLQ==[/tex]. 若[tex=4.786x1.143]vIoIF5/XALHvQTUrZgGrog==[/tex], 且[tex=7.5x1.357]D3zuJPjeH86ZxkvRhehs1Fd85S1i9OdSmR1xhgzR7AY=[/tex], 则[tex=6.0x1.143]eBhIDbl3KZGg83K6KN90vrELTlmxZpAFu0N4jKD3X2SJKE/S8DN6GH93u/EWE/U3[/tex][input=type:blank,size:6][/input]

2022-07-23

设向量 [tex=2.286x1.214]/Uu9jgxB4g+DifSL38NMLQ==[/tex]. 若[tex=4.786x1.143]vIoIF5/XALHvQTUrZgGrog==[/tex], 且[tex=7.5x1.357]D3zuJPjeH86ZxkvRhehs1Fd85S1i9OdSmR1xhgzR7AY=[/tex], 则[tex=6.0x1.143]eBhIDbl3KZGg83K6KN90vrELTlmxZpAFu0N4jKD3X2SJKE/S8DN6GH93u/EWE/U3[/tex][input=type:blank,size:6][/input]

答案：

[tex=9.786x1.214]zVYfzvVT72cB00ys7IUB3yRcNlhntcRowzJmJIkGexO+bsx107wNxsjlFZYJNBUH[/tex] 于是[tex=21.5x1.5]LL/l669sCCu/KOcH74mDYWBqvESFqDc+HH83Db4l/4EVjtpuWJZOvrOjNYFHytYp8V5tWVq7LQzYVp+9Hgy1wqwAxHFpCaDNibQld6lc7+NulOhd43k44d3tRX/VkjRJ[/tex]同理，[tex=21.714x1.5]FtjS3D71+w400dJ4y/LSLVc0mIWfONTnLJ69ljSz7+zjRova7Xl8FfxeAj79XmfFXvyWtkkbL3Y8f4U+OATEUSkJQUeSC3uHpHDKFUZ5hxAEPEVDlxC41OLlo8fi3O6o[/tex][tex=22.143x1.5]0P3XqKbOkD7mJJWelKaO4r4ZJUC4gi8rdL8iswEnkvMzxFI7UV4WMLvs4ub3NGV+OVT9q3F5rDTFzpC9SHOt+EdvJXwBzAqNfiFdiYvdMRYvEr6uUu6P3joOb8UpImI4[/tex]把右端三式依次相加，则得[tex=20.643x1.357]sWoenXU5HP7ngFwdKXtNlBMDkcSMzFanGM8S/srLvJt3uU2HQ8LL1F3ojejbwOrnOdGcQrydhWscsJQfsHHPBp9B5Ie6iMoYiNg47JqzvPk=[/tex]因为数量积满足交换律 [tex=10.714x1.357]N5h1YWK7REAxG1HRJX/HgvEXj74nciX+iy5Q6S3BbOypN0VX/BzQ+FlZ3ueWtJJUW2tNo7GXC9UqDcpnCEykYSBTIIiEHInt3M1kA5QbETI=[/tex], 所以[tex=17.786x1.357]Y8Y7nVw8zeOAOtbUJKO8kyzHVqfFNVoUvGgnILi3r5A+uO3kRR2OfdWbHa1aoveRmMu/k4hl93f7LwVVeizd1q1emHtBr+zjt/1csNBGnmfzSYJKQmTBrPHgQzHyuEEf[/tex]

举一反三

内容

0
设四阶方阵[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的特征值互不相同，且[tex=3.071x1.286]FYCnFYQQa8C3I+O2sfSSGA==[/tex]，则[tex=3.286x1.286]alyMBPvAo3u5wYHBO/9LNw==[/tex][input=type:blank,size:6][/input] . A: 0 B: 1 C: 2 D: 3
1
向量[tex=5.643x1.286]UOUVlYY3Owd/9Y+4aGhD2Q==[/tex]在[tex=4.786x1.286]x/DRKltwGOjd6FFY9joZ6Q==[/tex]上的投影[tex=3.214x1.286]HwD6aHO6Qt0l6J++EPGgPBkdil9ILD3xu4YblbhvSoE=[/tex][input=type:blank,size:6][/input] ，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]在[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]上的投影[tex=3.143x1.286]HwD6aHO6Qt0l6J++EPGgPJ4STKvTqeKlzMVUIz66NNQ=[/tex][input=type:blank,size:6][/input] .
2
向量[tex=4.857x1.286]D8V0vx8GIFkaW9Wr3cTkgQ==[/tex]，[tex=5.5x1.286]SuF9ioGqfsEWhP0FxHJm8A==[/tex]，[tex=5.5x1.286]F2znh+dupic+SmqBspcaUg==[/tex]，则[tex=3.857x1.286]T/2lXZL2m2ae1B/5Ih3wLDZ6HJPsJzeBL3J9UoJ+KOY=[/tex][input=type:blank,size:6][/input]；[tex=3.071x1.286]9A5Nz54EJJI8b5zx+YqJEclc3OqmWNKnXJzpde/AUKA=[/tex][input=type:blank,size:6][/input]；向量[tex=4.857x1.286]D8V0vx8GIFkaW9Wr3cTkgQ==[/tex]在向量[tex=5.5x1.286]SuF9ioGqfsEWhP0FxHJm8A==[/tex]上的投影[tex=3.214x1.286]k8BEx/D4NeVzwEpfyd7cqqDD97TyVohGgwq0ifEDPBQ=[/tex][input=type:blank,size:6][/input]；与向量[tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex]都垂直且模长为3的向量为[input=type:blank,size:6][/input]；以上述向量[tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex]为相邻两边的平行四边形的面积为[input=type:blank,size:6][/input]；以上述向量[tex=1.429x1.286]+fmtub6g+tF54Tl5ap2zBg==[/tex]与[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]为相邻三边的平行六面体的体积为[input=type:blank,size:6][/input] .
3
指出下列电磁辐射所在的光谱区(光速为 [tex=6.429x1.5]1/2H66qmeWP9GenrBNTr2ZhpKiB6H1DdgqtszgSMkTvraIr8dWHn2x3yptmT5H2n[/tex] ) :(1) 波长 [tex=3.714x1.0]StDJXnR43RPspiIKObZzuw9O/dLrVHZu8RJRRAY8kSU=[/tex][input=type:blank,size:4][/input]; (2) 波数 [tex=3.714x1.214]8VzQUldHmwJWvVKk4pz6jk4Am8tzuR2InQyVnni/Bbo=[/tex][input=type:blank,size:4][/input];（3）频率[tex=5.143x1.357]uZDMs7g7gUrO1odXQeZ4JgUgtCwdZjGo6H7tPYh7EJh/4QDeDY5W0+Pdyym88s5X[/tex][input=type:blank,size:4][/input]；(4)波长 [tex=2.929x1.0]fh1smEHXU8S6milYZ79dbP7Y0MTZvW00Ph9YYS+SEPk=[/tex][input=type:blank,size:4][/input]。
4
已知向量[tex=2.286x1.214]/Uu9jgxB4g+DifSL38NMLQ==[/tex]的三元数量积[tex=5.429x1.357]aJhiD3zsBnkOKU7F1xYBWUJOOeiJAh9TBJOBgSSSUGE=[/tex],则[tex=12.071x1.357]bl8DiXrkPXgttos8Rzfz7WXZWXLAkO5+DN3Jim3vxzJpJmlzVL4n4e6Hkyg7TGnQ[/tex][input=type:blank,size:4][/input].