• 2022-06-06
    设[tex=6.214x1.286]eVHXj0f5GLN42Vi/mfVPznGBYLKpi19qM2avBHtov18=[/tex],证明:如果[tex=4.571x1.286]7dYV/+r9Z3CeUitQ3xjkMg6KWTv35W3q4XcEe0A8Ri8=[/tex][tex=3.071x1.286]NqTlYScn/3fYcSllto8JFw==[/tex],则[tex=4.571x1.286]zy71OJ3LGlZOuvWmXnoaCA==[/tex]。
  • 证明:由[tex=4.571x1.286]7dYV/+r9Z3CeUitQ3xjkMg6KWTv35W3q4XcEe0A8Ri8=[/tex][tex=3.071x1.286]NqTlYScn/3fYcSllto8JFw==[/tex]可得[tex=4.643x2.0]he+HRjy0mJCtfncWVkdsS2U1qTZc5YMY99Ix1rQDS6M=[/tex],[tex=4.357x1.286]23yRvwqhfOjjhM9K+jWn5Q==[/tex]。因此[tex=8.5x1.286]dhKblecLQclQLpyszSm5GWWNo2aL+Mizs9vQmZia7/I=[/tex]。

    举一反三

    内容

    • 0

      已知向量[tex=5.643x1.286]2HKJ+34uBXu3DbhHKLrGKQ==[/tex],[tex=5.5x1.286]YxBSYjqnkOglv+HFGSt5XQ==[/tex],[tex=5.5x1.286]A94SJl+klKm/VJjddX9d+A==[/tex],求:(1)[tex=6.786x1.286]TkoPO9ooAPZE8kDX0Ksl4/ZY708Rsy7drjUyImg7U8k=[/tex];(2)[tex=4.071x1.286]wLCgIV9Inyr6HA4KUwzc3o8dW+QaqtN8Vh4Ic4T9aKo=[/tex];(3)[tex=4.571x1.286]wLCgIV9Inyr6HA4KUwzc3oQ8chRS+v5X/lEvFUZAFCU=[/tex];(4)[tex=6.857x1.286]+8TpnXhNjVA8ASM37C57bPO2VHJACzhdrkBhWbOw8pepTAtBRrxQ67nhgbDgIjYW[/tex].

    • 1

      设 3 阶矩阵[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的特征值互不相同,若行列式[tex=3.071x1.286]FYCnFYQQa8C3I+O2sfSSGA==[/tex], 则[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的秩为 A: 0 B: 1 C: 2 D: 3

    • 2

      设 [tex=1.786x1.286]3ei0lKEDoPnD38qhYMj3BA==[/tex] 在 [tex=2.857x1.286]WLSgu+RhTYFvD6XoJniQ9A==[/tex] 上解析,在 [tex=2.857x1.286]jEYZC8KyxZCGb+rF0/rgMA==[/tex] 上有 [tex=4.571x1.286]X/UkyDn9Ad6oNDKclFxSBg==[/tex],并且 [tex=4.571x1.286]6yFzJx+2DN/MwdXXmwJj3w==[/tex],其中 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 及 [tex=0.857x1.286]VtHyCG+ZQg7fAIyRU+W9ow==[/tex] 是有限正数。证明:[tex=1.786x1.286]3ei0lKEDoPnD38qhYMj3BA==[/tex] 在 [tex=2.857x1.286]MkYMHjcWF9EDoFGOLuu+Jw==[/tex] 内至少有一零点。

    • 3

      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]

    • 4

       对 [tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]的不同值,分别求出循环群[tex=1.143x1.214]StMMJ6qThnpokZJIPGrdFyP3vrLnUdltYxmLxjw8za8=[/tex]的所有生成元和所有子群。(1) 7;           (2) 8;               (3)10 ;(4) 14 ;         (5) 15             (6) 18 。