共50条信息
\((1)\)幂函数\(f(x)\)的图象过点\((4, \dfrac{1}{2}) .\)那么\(f(8)\)的值为________.
\((2)\)已知集合\(A\)中元素\((x,y)\)在映射\(f\)下对应\(B\)中元素\((x+y,x-y)\),则\(B\)中元素\((4,-2)\)在\(A\)中对应的元素为________.
\((3)\)函数\(f(x)={{\log }_{\frac{{1}}{3}}}({{x}^{{2}}}-2x-3)\)的单调减区间为________.
\((4)\)已知函数\(f(x)\)满足对任意实数\(m\),\(n\),都有\(f(m+n)=f(m)+f(n)-1\),设\(g(x)=f(x)+ \dfrac{{a}^{x}}{{a}^{x}+1}(a > 0,a\neq 1) \),若\(g(\ln 2017)=2018\),则\(g\left( \ln \dfrac{1}{2017} \right)=\)________.
已知集合\(A=\left\{a,b,c\right\},B=\left\{ \left.x \right|1\leqslant x\leqslant 9且x∈N\right\} \)若映射\(f:A→B \)满足\(f\left(a\right)\leqslant f\left(b\right)\leqslant f\left(c\right) \)且\(f\left(a\right)+f\left(b\right)+f\left(c\right)=12 \),则这样的映射个数为\((\) \()\)
下列对应关系:
\(①A=\{1,4,9\}\),\(B=\{-3,-2,-1,1,2,3\}\),\(f:x\to x\)的平方根;
\(②A=R,B=R\),\(f:x\to x\)的倒数;
\(③A=R,B=R\),\(f:x\to {{x}^{2}}-2\);
\(④A=\{-1,0,1\}\),\(B=\{-1,0,1\}\),\(f:x\to {{x}^{2}}\).
其中\(A\)到\(B\)的映射的是( )
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