22.已知函數(shù)f(x)的圖象在定義域(0,+∞)上連續(xù)不斷,若存在常數(shù)T>0,使得對于任意的x>0,f(Tx)=f(x)+T恒成立,稱函數(shù)f(x)滿足性質(zhì)P(T).
(1)若f(x)滿足性質(zhì)P(2),且f(1)=0,求
的值;
(2)若f(x)=log
1.2x,試說明至少存在兩個不等的正數(shù)T
1、T
2,同時使得函數(shù)f(x)滿足性質(zhì)P(T
1)和P(T
2);
(3)若函數(shù)f(x)滿足性質(zhì)P(T),求證:函數(shù)f(x)存在零點.