证明:若[tex=2.286x1.214]/YPHwK1EAx3tt4NkddZ/SQ==[/tex]和[tex=0.571x1.0]TcM6B5Wrs5vy9dWrxRPSdg==[/tex]是任意客体，则[tex=11.429x1.357]M9HCZQy5NCm4vjyl3sEnngW7x6rap+SHw4vFrxwAqnapVwypfonKBLujpERB8cuv[/tex]当且仅当[tex=1.786x0.786]7EinzWj6V2RwOSXTPruQoQ==[/tex]和[tex=1.786x1.0]eQWX+g7mu+EpMYvDb4eOfA==[/tex]
举一反三
- 对任意对象[tex=3.286x1.214]S1r9TKg/0CvhrA1vxbq3mQ==[/tex]证明:[tex=11.429x1.357]6a6z8YTwRPVWJA7kp0hJkO1oaCaKovkywjLdf+ZeKi/J1ePmBwTKyl6FxXJOhRZ7[/tex]当且仅当[tex=1.786x0.786]wXjKGLJAiZXJ3pTvfsXMXw==[/tex]且 [tex=1.786x1.0]RtpbN5xDaWWRNMMqkfsXkw==[/tex]
- 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 。
- 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]
- 对素数 [tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex] 的不同值, 找出循环群[tex=1.143x1.357]oOz0oH4UpFaaOY7OuGotcg8wtMntQEjCiVorwD1W3R4=[/tex]的所有生成元和所有子群.(1) 7 ; (2) 11 ; (3) 13(4) 17 ; (5) 19 ; (6) 23 .
- 证明：若a，b，c和d是任意客体，则[tex=11.429x1.357]M9HCZQy5NCm4vjyl3sEnngW7x6rap+SHw4vFrxwAqnapVwypfonKBLujpERB8cuv[/tex]当且仅当a=c和b=d。