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]。
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)