已知函数y=f(x)定义域为R+,f(8)=3,对任意x∈R,f(x1x2)=f(x1)+f(x2)猜想表达式.()合情推理方面的内容,.'| | / ||/-.( ||\_._\ || \ \`;|| > |/|| / // || |// || \(\ || `` || || || || |\\ _ _\\| \// |//_ _ \// _^ `^`^ ^`` `^ ^` ``^^
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![已知函数y=f(x)定义域为R+,f(8)=3,对任意x∈R,f(x1x2)=f(x1)+f(x2)猜想表达式.()合情推理方面的内容,.'| | / ||/-.( ||\_._\ || \ \`;|| > |/|| / // || |// || \(\ || `` || || || || |\\ _ _\\| \// |//_ _ \// _^ `^`^ ^`` `^ ^` ``^^](/uploads/image/z/7617970-10-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BAR%2B%2Cf%288%29%3D3%2C%E5%AF%B9%E4%BB%BB%E6%84%8Fx%E2%88%88R%2Cf%28x1x2%29%3Df%28x1%29%2Bf%28x2%29%E7%8C%9C%E6%83%B3%E8%A1%A8%E8%BE%BE%E5%BC%8F.%EF%BC%88%EF%BC%89%E5%90%88%E6%83%85%E6%8E%A8%E7%90%86%E6%96%B9%E9%9D%A2%E7%9A%84%E5%86%85%E5%AE%B9%2C.%27%7C+%7C+%2F+%7C%7C%2F-.%28+%7C%7C%5C_._%5C+%7C%7C+%5C+%5C%60%3B%7C%7C+%3E+%7C%2F%7C%7C+%2F+%2F%2F+%7C%7C+%7C%2F%2F+%7C%7C+%5C%28%5C+%7C%7C+%60%60+%7C%7C+%7C%7C+%7C%7C+%7C%7C+%7C%5C%5C+_+_%5C%5C%7C+%5C%2F%2F+%7C%2F%2F_+_+%5C%2F%2F+_%5E+%60%5E%60%5E+%5E%60%60+%60%5E+%5E%60+%60%60%5E%5E)
已知函数y=f(x)定义域为R+,f(8)=3,对任意x∈R,f(x1x2)=f(x1)+f(x2)猜想表达式.()合情推理方面的内容,.'| | / ||/-.( ||\_._\ || \ \`;|| > |/|| / // || |// || \(\ || `` || || || || |\\ _ _\\| \// |//_ _ \// _^ `^`^ ^`` `^ ^` ``^^
已知函数y=f(x)定义域为R+,f(8)=3,对任意x∈R,f(x1x2)=f(x1)+f(x2)猜想表达式.()
合情推理方面的内容,
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已知函数y=f(x)定义域为R+,f(8)=3,对任意x∈R,f(x1x2)=f(x1)+f(x2)猜想表达式.()合情推理方面的内容,.'| | / ||/-.( ||\_._\ || \ \`;|| > |/|| / // || |// || \(\ || `` || || || || |\\ _ _\\| \// |//_ _ \// _^ `^`^ ^`` `^ ^` ``^^
一般的满足f(x1x2)=f(x1)+f(x2)形式的函数是对数函数
f(x)=loga(x),定义域为R+
且f(x1)+f(x2)=loga(x1)+loga(x2)=loga(x1x2)=f(x1x2)
又f(8)=loga(8)=3
∴a=2
∴f(x)=log2(x),x>0
fx的到了它的sinx -cosx,的导函数,在化简即可