举一反三
- 设 [tex=4.357x1.286]SSNFRGnoX7zsz3xh++Or+6bGEzg4WVTjxvrT9l8ci28=[/tex], 求证当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时,(1) [tex=9.929x1.286]KTKjDLnNKTyVwhLDKQFcZITMBx36hwY25HEMB9j4K8oW+Df8//LkR5xZtFFj85DZaKB7MVK3F887cED4kbDDttwRHau9Myxvd7voCmT4Ydw=[/tex], [tex=6.071x1.286]GLquATPBBnQk5XqmjpA48x3nMmZffjUtlp4bUKZtXR4=[/tex].(2) [tex=10.929x1.286]KTKjDLnNKTyVwhLDKQFcZH1K1zf3/A1ue2qiDwdL51Ha0tuVvRI2n8OX8UWK+FBATNXqueay6STtmurclki37vs5SZEKZK5wfzyX7nQdjew=[/tex].(3) 若 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 是 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时的无穷小 , 则 [tex=5.786x1.286]9LmX2pUZThFDV1gq8YR4fYxveQhPWxMWfkXCPgNubd5zbXAVQGotGbcJLD1P/4Zz[/tex].(4) [tex=6.714x1.286]Z6J3tnj49hqi3vj69h66sruAiTwW3O3jA1Wa0/1xk6FXkAdv7s1uBp+PE0aN/J7Z[/tex] [tex=3.071x1.286]NqTlYScn/3fYcSllto8JFw==[/tex].
- 设X,Y和Z都是拓扑空间,若[tex=4.571x1.286]X+mq3hHfi7zCb5+cqXVpIFW8szLUPAeVWDCjXrH7bKg=[/tex]和[tex=4.357x1.286]PKaDEaZOLlirT5q6ECAFeAqklZA4OE0fTUF+MVESwvU=[/tex]都是商映射,则[tex=6.0x1.286]eDcpMmSurNfaPO1r2Wv022lX4wLMlDxKhtr20goAdA4=[/tex]也是商映射。
- 设[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]是 3 阶矩阵,且[tex=2.643x1.357]h0pLE8vvleI3SS/lZLfCsw==[/tex],则[tex=4.143x1.357]TzVoItsLVWI00YVI4rvLQQ==[/tex]( ). 未知类型:{'options': ['2', '-2', '8', '-8'], 'type': 102}
- 6个顶点11条边的所有非同构的连通的简单非平面图有[tex=2.143x2.429]iP+B62/T05A6ZTM0eeaWiQ==[/tex]个,其中有[tex=2.143x2.429]ndZSw3zT0QTOVLVdoUto1Q==[/tex]个含子图[tex=1.786x1.286]J+vVZa2YaMpc6mJBbqVvWw==[/tex],有[tex=2.143x2.429]lmhx48evnQMhi03NovPXig==[/tex]个含与[tex=1.214x1.214]kFXZ1uR8GjycbJx+Ts2kyQ==[/tex]同胚的子图。供选择的答案[tex=3.071x1.214]3KinXFh3SXhZ7nIe1y9KEV6aadxhhJWeEy6Dij1iObdMUZkY6ZA5J2dVVjPSuhEf[/tex]:(1) 1 ;(2) 2 ;(3) 3 ; (4) 4 ;(5) 5 ;(6) 6 ; (7) 7 ; (8) 8 。
- 设f(x)具有性质:[tex=8.571x1.357]8gPeznjMnng12qtkk9Vgczii1Sh4d1qJxc9iHYT5+YI=[/tex]证明:必有f(0)=0,[tex=5.5x1.357]rt5qCY7TXHcsFUQrD44nPA==[/tex](p为任意正整数)
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 。