优优班--学霸训练营 > 知识点挑题
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            • 1.
              下列四个图形中,不是以\(x\)为自变量的函数的图象是\((\)  \()\)
              A.
              B.
              C.
              D.
            • 2.
              已知函数\(f(x)\),\(g(x)\)分别由如表给出:
              \(x\) \(1\) \(2\) \(3\)
              \(f(x)\) \(2\) \(1\) \(1\)
              \(x\) \(1\) \(2\) \(3\)
              \(g(x)\) \(3\) \(2\) \(1\)
              则当\(f[g(x)]=2\)时,\(x=\) ______ .
            • 3.
              下列四组函数中,表示同一函数的是\((\)  \()\)
              A.\(y=x\)与\(y= \sqrt {x^{2}}\)
              B.\(y=2\lg x\)与\(y=\lg x^{2}\)
              C.\(y= \sqrt[3]{x^{3}}\)与\(y=x\)
              D.\(y=x-1\)与\(y= \dfrac {x^{2}-1}{x+1}\)
            • 4.
              下列函数中哪个与函数\(y=x\)相等\((\)  \()\)
              A.\(y=( \sqrt {x})^{2}\)
              B.\(y= \sqrt[3]{x^{3}}\)
              C.\(y= \sqrt {x^{2}}\)
              D.\(y= \dfrac {x^{2}}{x}\)
            • 5.
              下列各组函数中,表示同一函数的是\((\)  \()\)
              A.\(f(x)=1\),\(g(x)=x^{0}\)
              B.\(f(x)=x-2\),\(g(x)= \dfrac {x^{2}-4}{x+2}\)
              C.\(f(x)=|x|\),\(g(x)= \sqrt {x^{2}}\)
              D.\(f(x)=x\),\(g(x)=( \sqrt {x})^{2}\)
            • 6.
              已知函数\(y= \sqrt {(a-1)x^{2}+ax+1}\)的值域为\([0,+∞)\),求\(a\)的取值范围为\((\)  \()\)
              A.\(a\geqslant 1\)
              B.\(a > 1\)
              C.\(a\leqslant 1\)
              D.\(a < 1\)
            • 7.

              与函数\(y={{10}^{\lg (x-1)}}\)的图象相同的函数是\((\)  \()\)

              A.\(y=x−1 \)
              B.\(y=|x−1| \)
              C.\(y={( \dfrac{x−1}{ \sqrt{x−1}})}^{2} \)
              D.\(y= \dfrac{{x}^{2}−1}{x+1} \)
            • 8.

              下列选项中与函数\(y{=}x\)是同一函数的是\(({  })\)

              A.\(y{=}\sqrt[3]{x^{3}}\)
              B.\(y{=}(\sqrt{x})^{2}\)
              C.\(y{=}\sqrt{x^{2}}\)
              D.\(y{=}\dfrac{x^{2}}{x}\)
            • 9. 已知定义在\(R\)上的函数\(f(x)\)是满足\(f(x)-f(-x)=0\),在\((-∞,0]\)上总有\( \dfrac {f(x_{1})-f(x_{2})}{x_{1}-x_{2}} < 0\),则不等式\(f(2x-1) < f(3)\)的解集为______.
            • 10.

              如果\(f({{10}^{x}})=x\),则\(f(3)\)等于\((\)  \()\)

              A.\({{\log }_{3}}10\)
              B.\(\lg 3\)
              C.\({{10}^{3}}\)
              D.\({{3}^{10}}\)
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