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            • 1.

              若\({{x}^{2018}}={{a}_{0}}+{{a}_{1}}(x-1)+{{a}_{2}}{{(x-1)}^{2}}+\cdot \cdot \cdot +{{a}_{2018}}{{(x-1)}^{2018}},\)则\(\dfrac{{{a}_{1}}}{3}+\dfrac{{{a}_{2}}}{{{3}^{2}}}+\cdot \cdot \cdot +\dfrac{{{a}_{2018}}}{{{3}^{2018}}}=\)_____.

            • 2.

              某网店经营的一种商品进价是每件\(10\)元,根据一周的销售数据得出周销量\(P(\)件\()\)与单价\(x(\)元\()\)之间的关系如下图折线所示,该网店与这种商品有关的周开支均为\(25\)元.

              \((\)Ⅰ\()\)根据周销量图写出周销量\(P(\)件\()\)与单价\(x(\)元\()\)之间的函数关系式;

              \((\)Ⅱ\()\)写出周利润\(y(\)元\()\)与单价\(x(\)元\()\)之间的函数关系式;当该商品的销售价格为多少元时,周利润最大\(?\)并求出最大周利润.

            • 3.

              下列四组函数中的\(f\left( x \right)\)和\(g\left( x \right)\)相等的是\((\)     \()\)

              A.\(f\left( x \right)=x-1,g\left( x \right)=\dfrac{{{x}^{2}}}{x}-1\)
              B.\(f\left( x \right)=\tan x,g\left( x \right)=\dfrac{\cos x}{\sin x}\)             

              C.\(f\left( x \right)={{x}^{2}},g\left( x \right)=\sqrt[3]{{{x}^{6}}}\)
              D.\(f\left( x \right)={{x}^{2}},g\left( x \right)={{\left( \sqrt{x} \right)}^{4}}\)
            • 4.

              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.\(y= \dfrac{{x}^{2}−1}{x+1} \)
            • 5.

              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.\(y{=}\dfrac{x^{2}}{x}\)
            • 6.

              已知函数\(f\left( x \right)\)由以下表给出,若\(f\left\lbrack f\left( x_{0} \right) \right\rbrack{=}f\left( 1 \right){+}f\left( 3 \right)\),则\(x_{0}{=}(\)   \()\)

              \(x\)

              \(1\)

              \(2\)

              \(3\)

              \(4\)

              \(f\left( x \right)\)

              \({-}1\)

              \(1\)

              \(2\)

              \(1\)

              A.\(4\)                                
              B.\(3\)                                
              C.\(2\)                                
              D.\(1\)
            • 7.

              下列各组函数中,表示同一函数的是

              A.\(y=2\lg x,y=\lg {x}^{2} \)
              B.\(f\left( x \right)={{\left( x-1 \right)}^{0}},g\left( x \right)=1\)
              C.\(f\left( x \right)=\dfrac{{{x}^{2}}-1}{x-1},g\left( x \right)=x+1\)
              D.\(f\left( x \right)=\sqrt{{{x}^{2}}},g\left( t \right)=\left| t \right|\)
            • 8.

              若函数\(y=f(x)\)的定义域为\(M=\{x|-2\leqslant x\leqslant 2\}\),值域为\(N=\{y|0\leqslant y\leqslant 2\}\),则函数\(y=f(x)\)的图象可能是(    )

              A.
              B.
              C.
              D.
            • 9.
              如图所示,可表示函数图象的是\((\)  \()\)
              A.\(①\)
              B.\(②③④\)
              C.\(①③④\)
              D.\(②\)
            • 10.
              下列各组函数是同一函数的是\((\)  \()\)
              A.\(y=1\),\(y= \dfrac {x}{x}\)
              B.\(y= \sqrt {x-1}× \sqrt {x+1}\),\(y= \sqrt {x^{2}-1}\)
              C.\(y=|x|\),\(y=( \sqrt {x})^{2}\)
              D.\(y=x\),\(y= \sqrt[3]{x^{3}}\)
            0/40

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