设[tex=3.857x1.357]lmzRiNh05GiAPkE/84NQ6w==[/tex]，[tex=3.857x1.357]gohm6PREqEDJffA5b/g/NA==[/tex]，试求：（1）[tex=2.786x1.143]OnufVaMPYi7ZvmoBR8NXeA==[/tex]；（2）[tex=3.143x1.357]ohTm/qCMUtEDup2K7/dKoSTeLgqzDTGqINsIIF3ctXY=[/tex]；（3）[tex=2.786x1.143]N2IK/ZLMMvc3oAfgQvttlw==[/tex]；（4）[tex=3.929x1.5]CExpGm27+pL3EmA2ndNSeT38F0yRzFvs6o5hczKXxM8=[/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 。
- 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:(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?
- 设[tex=5.429x1.357]7B+dv9cw/R8ipYA9Cn5Tmg==[/tex]，[tex=4.0x1.357]h+IXB3iY9dB8wXIj4TWKZA==[/tex]求（3）[tex=2.786x1.143]p8hCWxsO/vWb0jOArhRAMQ==[/tex]
- 已知[tex=1.786x1.214]IENxQEh5u4RdnCaqHm72Xg==[/tex]为3阶矩阵，且[tex=6.5x1.357]Xw38Dcvrbs7IEKOZRvkd5g==[/tex]，其中[tex=0.786x1.0]XvHgf70VtK2FH5G93l0k3g==[/tex]是3阶单位矩阵．(1)证明：矩阵[tex=2.786x1.143]RcZ2ZRIlzxNTbD8lUHAX+Q==[/tex]可逆；(2)若[tex=7.786x3.5]DgXZT9CtCPAglTYwc4pEdVwGPrEvfplbNSz07f1CHm3lKZFzRkIi88nqRWCa7cdxtDn1Uq6Au4bDH+3NSK9+pGWuIrunnKgMXUiXxap7tYqS5e4P0ZLrWW76zZyDl/um[/tex]，求矩阵[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]