请问如何证明子集是子空间1.{[x,y,z],R^3,x=0或者y=0}2.{ [x,y,z],R^3,x^2-y^2=0}3.{f:R->R,积分[-1,1] f(x)dx=0}4.{f:R->R,f'(x)=1}我不是很明白这种条件要怎么证明加法和乘法封闭,
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![请问如何证明子集是子空间1.{[x,y,z],R^3,x=0或者y=0}2.{ [x,y,z],R^3,x^2-y^2=0}3.{f:R->R,积分[-1,1] f(x)dx=0}4.{f:R->R,f'(x)=1}我不是很明白这种条件要怎么证明加法和乘法封闭,](/uploads/image/z/8550796-4-6.jpg?t=%E8%AF%B7%E9%97%AE%E5%A6%82%E4%BD%95%E8%AF%81%E6%98%8E%E5%AD%90%E9%9B%86%E6%98%AF%E5%AD%90%E7%A9%BA%E9%97%B41.%7B%5Bx%2Cy%2Cz%5D%2CR%5E3%2Cx%3D0%E6%88%96%E8%80%85y%3D0%7D2.%7B+%5Bx%2Cy%2Cz%5D%2CR%5E3%2Cx%5E2-y%5E2%3D0%7D3.%7Bf%3AR-%3ER%2C%E7%A7%AF%E5%88%86%5B-1%2C1%5D+f%28x%29dx%3D0%7D4.%7Bf%3AR-%3ER%2Cf%27%28x%29%3D1%7D%E6%88%91%E4%B8%8D%E6%98%AF%E5%BE%88%E6%98%8E%E7%99%BD%E8%BF%99%E7%A7%8D%E6%9D%A1%E4%BB%B6%E8%A6%81%E6%80%8E%E4%B9%88%E8%AF%81%E6%98%8E%E5%8A%A0%E6%B3%95%E5%92%8C%E4%B9%98%E6%B3%95%E5%B0%81%E9%97%AD%2C)
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