已知三次函數(shù)y = f (x)過點(–1，0)，且f ′(x) = (x + 1)²，將y = f (x)的圖象向右平移一個單位，再將各點的縱坐標變?yōu)樵瓉淼?倍得函數(shù)y = g (x)的圖象，函數(shù)y = h (x)與y = g (x)的圖象關于點M(2，0)對稱．

（1）求y = h (x)的解析式；        

（2）若直線x = t (0<t<4)將函數(shù)y = h (x)的圖象與兩坐標軸圍成的圖形的面積二等分，求t的值．

若函數(shù)f(x)＝log_ax(0<a<1)在區(qū)間[a,2a]上的最大值是最小值的3倍，則a＝________.

若函數(shù)f(x)＝|log_ax|(0<a<1)在區(qū)間(a,3a－1)上單調(diào)遞減，則實數(shù)a的取值范圍是________

已知函數(shù)f(x)=|lgx|.若0<a<b,且f(a)=f(b),則a+2b的取值范圍是              

函數(shù)y＝f(x)的定義域為[0,1]，則f(x＋a)·f(x－a)(0<a<)的定義域是________．