函数f(x)=log
a(x-3a)(a>0,且a≠1),当点P(x,y)是函数y=f(x)图象上的点时,Q(x-2a,-y)是函数y=g(x)图象上的点.
(1)写出函数y=g(x)的解析式.
(2)当x∈[a+2,a+3]时,恒有|f(x)-g(x)|≤1,试确定a的取值范围.
考点分析:
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=(1,1),
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=(1,0),
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满足
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=0,且
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=
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,
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>0
(I)求向量
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;
(II)若映射
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①求映射f下(1,2)原象;
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已知定义域为R的函数
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是奇函数.
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,4f(x)f(y)=f(x+y)+f(x-y)(x,y∈R),则f(2010)=
.
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若函数f(x)=a
x-x-a(a>0,且a≠1)有两个零点,则实数a的取值范围是
.
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已知函数f(x)=
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若f(2-a
2)>f(a),则实数a的取值范围为
.
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