设有齐次线性方程组[tex=3.357x1.286]X2hN7n3UmL0lWQo53x55cw==[/tex]和[tex=3.429x1.286]DTP5IuUSYAoYae1AD+w2Uw==[/tex],其中[tex=2.0x1.286]cdFQTIcX/k6W15SnnVIOSQ==[/tex]均为[tex=2.643x1.286]Pcp8G3f9iSqumpymQTeO6g==[/tex]矩阵,现有4个命题:(1)若[tex=3.357x1.286]EEnP5r0Mkp899tr2mCdfvQ==[/tex]的解均是[tex=3.429x1.286]fYtBsAEd/ppcUN+e+qdGTw==[/tex]的解,则[tex=5.786x1.286]QCUVZxVdy7LAaQh5LxeGmFGdf83ZfUr5yoh3U2dXD3c=[/tex] ;(2)若[tex=5.786x1.286]p5QZat2rShslCRIxbMuaBhwHqXUDPpELDWPdXfwIcU0=[/tex],则[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]的解均是[tex=3.429x1.286]TGves6vneBbnQ7XbSbqDNA==[/tex]的解 ;(3)若[tex=3.357x1.286]EEnP5r0Mkp899tr2mCdfvQ==[/tex]与[tex=3.429x1.286]fYtBsAEd/ppcUN+e+qdGTw==[/tex]同解,则[tex=5.786x1.286]AtHDj/7ulHPCJVN+P9wl9r+xGTI4RahAbAVjpjO1BxY=[/tex];(4)若[tex=5.786x1.286]g8SwOoc3mjjpDvp+UxwKlmKIyJYBt/w89p9ioRDdWtw=[/tex],则[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]与[tex=3.429x1.286]TGves6vneBbnQ7XbSbqDNA==[/tex]同解 . 则以上命题正确的是[input=type:blank,size:6][/input] .
A: (1),(2)
B: (1),(3)
C: (2),(4)
D: (3),(4)
A: (1),(2)
B: (1),(3)
C: (2),(4)
D: (3),(4)
举一反三
- 设[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]为[tex=2.643x1.286]Pcp8G3f9iSqumpymQTeO6g==[/tex]矩阵,[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]是非齐次线性方程组[tex=3.071x1.286]7kxB1tq4w9tLcxT2aiqIKg==[/tex]对应的齐次线性方程组,则下列结论正确的是[input=type:blank,size:6][/input] . 未知类型:{'options': ['若[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]只有零解,则[tex=3.071x1.286]7kxB1tq4w9tLcxT2aiqIKg==[/tex]有唯一解', '若[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]有非零解,则[tex=3.071x1.286]7kxB1tq4w9tLcxT2aiqIKg==[/tex]有无穷多个解', '若[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]有无穷多个解,则[tex=3.071x1.286]7kxB1tq4w9tLcxT2aiqIKg==[/tex]只有零解', '若[tex=3.357x1.286]zkPgnv+RxmjUpziLKbhcsw==[/tex]有无穷多个解,则[tex=3.071x1.286]7kxB1tq4w9tLcxT2aiqIKg==[/tex]有非零解'], 'type': 102}
- 设随机变量X服从[tex=1.929x1.286]HmmJCe8jMYQ7Qi5trX1Z2w==[/tex]上的均匀分布,[tex=5.071x1.286]HnGQba3HT3pL1+jP5xuvNg==[/tex],则[tex=3.429x1.286]L9cosNMXc0MsOViIFfI1Kw==[/tex][input=type:blank,size:4][/input]。
- 设[tex=3.429x1.286]wh608NrvsK7Tz2+18zZGkQwM8Bvu45ynph5mXzDa/cw=[/tex]是[tex=3.357x1.286]EEnP5r0Mkp899tr2mCdfvQ==[/tex]的基础解系,则该方程组的基础解系还可以表示成[input=type:blank,size:6][/input] . 未知类型:{'options': ['[tex=3.429x1.286]wh608NrvsK7Tz2+18zZGkQwM8Bvu45ynph5mXzDa/cw=[/tex]的一个等价向量组', '[tex=3.429x1.286]wh608NrvsK7Tz2+18zZGkQwM8Bvu45ynph5mXzDa/cw=[/tex]的一个等秩向量组', '[tex=0.857x1.286]fuNqZNkxpYmERSXWBi8ppA==[/tex],[tex=2.929x1.286]p7q+PwsWdzMbkN3McuCkpoRSSYehOJ1BbAHV798TyyQ=[/tex],[tex=4.929x1.286]p7q+PwsWdzMbkN3McuCkpie3gKfeCcDTBqUoYLIisn8p9KGw7B2nxUH7Ne6oAPYT[/tex]', '[tex=2.929x1.286]HFYBh1Uau+4rFC7dQgKDkONNfOyp3rEae2QXXK9Q+wI=[/tex],[tex=2.929x1.286]jF2yFkvIDLgUh5DdoJalOwe3Yw5QT/5laZlSilY7BUM=[/tex],[tex=2.857x1.286]BQpXWqbqM3kxLaF0hoeXEgc48JpaawQFEsjEOCN+bug=[/tex]'], 'type': 102}
- 判断下列命题是否为真:(1)[tex=3.643x1.357]/5abqJjwKZ1qr+6hsVFF5EBvfq3ggOFNlHMClz0h9nk=[/tex](2)[tex=2.929x1.357]rGJpyjIjJpbcoBTWxP0Jiw==[/tex](3)[tex=4.5x1.357]2wycHMoqU83MyEp17iBils58bR7YLuCTI2G9NVAdlfY=[/tex](4)[tex=5.214x1.357]CTz2gu+IIm1GgNmYMGaduCRtA41wnW4WqwRWwEhq6aA=[/tex](5)[tex=4.857x1.357]1DcE2BMMOaZhTuxR/mjgsboXxfg5ET59Dp4I/jjEDuw=[/tex](6)[tex=4.643x1.357]BSryrsQYOvTP2hTWRu6t4nAuJwlSs4L9jaq70EpB+Us=[/tex](7)若[tex=6.0x1.357]y0IZLUnBO88nR8WBZYvd7QXv5S1OMINV5cQNzPyiyAc=[/tex],则[tex=3.429x1.357]1brfPwTkVVIX4GfoMIUskA==[/tex](8)若[tex=7.643x1.357]MhLfJXZnhbXiB0x3oNtFzThV4Y1mJxe1VYr7PkJE/T6hmTD3WWp+UxbNwvUQ6DHk[/tex],则[tex=4.143x1.357]LZUA94ISo1po5HWsOVeBCjo0rMvj7uw3bGw5HiZenrI=[/tex]
- 若:(1)函数 f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数;(2)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]有导数;(3)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数及函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数,则函数[tex=5.643x1.357]GmtX7Vop79exGU/rpqXUYw==[/tex]在已知点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]的可微性怎样?