若 [tex=1.786x1.357]GYJ7X7XJijqizBuSGMrl3g==[/tex]在圆 [tex=3.143x1.357]LWB0MsfTDCFYtVxIGLgAyg==[/tex] 内解析 [tex=11.643x1.357]Ssv1KroAAFfukrnq3CdIebfmhp23u7J2dAsYAxESTinzsuou2dqYGsa3faffilTk[/tex],在圆内有一点[tex=6.214x1.357]iPRQOf7WgYBkxX1rm+/2/A==[/tex] 使 [tex=5.643x2.429]4F3UE8r2IdkveQKQfh5jYNkmGFyT2Y95jIFyKFQHRT4=[/tex],试证:[tex=7.571x2.429]nkypJWOwzjYHmWtrdZllH5zIjlt8CcfstAPltsW8WCvcJ1ITKoEq3E5NwlwPF6sD4vZgCWt+NGsJk8ZPVrFwTg==[/tex]为实数,[tex=3.786x1.357]9ifY2uEbaoWWmZLHpmiyyw==[/tex]
举一反三
- 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 。
- set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为？ A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}
- 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?
- 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[tex=1.786x1.357]GYJ7X7XJijqizBuSGMrl3g==[/tex]在圆[tex=3.143x1.357]LWB0MsfTDCFYtVxIGLgAyg==[/tex]内解析，[tex=11.214x1.357]T/yQPAWkRMwpB0EmaKEUkPWGK6eriHLBTkFrb3TeYFzI42lJOIx4HGZrhgAowCoI[/tex]，则(1)[tex=9.643x2.429]KokyYQ8cKWPulawBhZnQGG8ElRblfkV7U0D5apxPFG2xgYEF9Qc4LsGAnhMBEwHk[/tex]，且有[tex=5.214x2.429]wBItcjJDvNNHOcWxpgmCvxnPA0GecPzBJoMF5f6DvOroJHqBQFn5oUD+6E98dwWSrdfbBYAYDZNdKeAKviVwFw==[/tex]；(2) 若在圆内有一点[tex=6.214x1.357]iPRQOf7WgYBkxX1rm+/2/A==[/tex]使[tex=5.643x2.429]4F3UE8r2IdkveQKQfh5jYNkmGFyT2Y95jIFyKFQHRT4=[/tex]就有[tex=5.571x2.429]WA8sfrlgrMTduM5upx4t6RYlXtHz1d/j5L8YGtDi04sDABm/gielBXFYBFdqJ0Np[/tex] ([tex=0.643x0.786]W9TCskxkagdDgWMvasdFzg==[/tex]为实数，[tex=3.143x1.357]/U5N5uffufKHPAwFZ9a2fA==[/tex])。注(1)当[tex=4.786x1.214]y7K5YoAAHeql8B4QciWh8w==[/tex]时，本题就是施瓦茨引理，故本题为其更一般的形式。(2)本题的结果也有如下一个简单改进：我们保留本题的假设条件不变。如是[tex=1.786x1.0]bUV+nT9Q2hi64J3Ohwvlow==[/tex]是[tex=1.786x1.357]GYJ7X7XJijqizBuSGMrl3g==[/tex]的[tex=0.643x1.0]+D9NhKovEP8INGz+KZnr1A==[/tex]阶零点，则[tex=10.357x2.429]41z22XsAAt1SGIQrsqR8rw78dkM8PgzVxjjKWxq2vtUP+onCxQIspaSf7F9+TUzQPHneM2ldUBuP7ZG9tO2Yew==[/tex]且有[tex=6.357x2.857]V4LOsxUyBR01H2Bj9zCJyUKq7duHpM0mxgE5Q2gvpgv+IcRKWekGTPauTQvVICUG48ggjf0Gi6C8GMqn6TblpPcYn9Ror4KDdJfPB7TadK8=[/tex]。如果这些关系中，有一个取等号，这只有[tex=5.714x2.429]RA9kYeEdoeV1VdegrUaa2zxGs1NUNgL7be23Ftg81fp4+P9/c9BZfMhy8GuNPWfy[/tex]([tex=0.643x0.786]SPoVA3bJlgfP9Ek9O4AbuA==[/tex]为实数，[tex=3.143x1.357]Blgb7D7wSd7BxPueUZ/jsg==[/tex])(当[tex=2.429x1.0]xXDCmWq47DQFjvGpa+qhxA==[/tex]时，这些就是本题的结果。)