优优班--学霸训练营 > 知识点挑题
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            • 1. 计算:
              \((1)\dfrac{{{a}^{2}}}{a-1}-a-1\)           

              \((2) \dfrac{{a}^{2}−4}{{a}^{2}−2a+1}⋅ \dfrac{{a}^{2}−1}{{a}^{2}+4a+4} \)

            • 2.

              计算\(\dfrac{{a}^{2}-1}{{a}^{2}+2a+1}÷ \dfrac{a−1}{a} \)的结果是\((\)   \()\)


              A.\(\dfrac{1}{2}\)
              B.\(\dfrac{a}{a+1}\)
              C.\(\dfrac{a+1}{a}\)
              D.\(\dfrac{a+1}{a+2}\)
            • 3.

              下列运算正确的是(    )

                

              A.\({{\left( 2{{a}^{2}} \right)}^{3}}=6{{a}^{6}}\)
              B.\(-{{a}^{2}}{{b}^{2}}\cdot 3a{{b}^{3}}=-{{a}^{2}}{{b}^{5}}\)

                

              C.\(\dfrac{{{a}^{2}}-1}{a}\cdot \dfrac{1}{a+1}=-1\)
              D.\(\dfrac{b}{a-b}+\dfrac{a}{b-a}=-1\)
            • 4.

              化简:\(\dfrac{m-1}{m}\div \dfrac{1-m}{{{m}^{2}}}=\)__________.

            • 5.
              化简\( \dfrac {x^{2}-y^{2}}{x^{2}-2xy+y^{2}}⋅(2x-2y)=\) ______ .
            • 6.
              计算:\( \dfrac {x}{x-y}⋅ \dfrac {x^{2}-y^{2}}{x}=\) ______ .
            • 7.
              化简分式\( \dfrac {5ab}{3c}\cdot \dfrac {12c^{2}}{5ab^{2}}\)的结果是\((\)  \()\)
              A.\( \dfrac {4}{3}\)
              B.\( \dfrac {4c}{b}\)
              C.\( \dfrac {4a}{3b}\)
              D.\( \dfrac {45b}{ac}\)
            • 8.
              化简 \( \dfrac {a^{2}}{a^{2}+2a}\cdot \dfrac {a^{2}-4}{a-2}\).
            • 9.
              化简:

              \((1)(- \dfrac{3a}{b}{)}^{2}· \dfrac{{b}^{2}}{3{a}^{2}} \);     \((2)\dfrac{x}{{{x}^{2}}-1}\cdot \dfrac{{{x}^{2}}+x}{{{x}^{{}}}}.\)    

            • 10.

              化简:\(\dfrac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+2ab+{{b}^{2}}}\div \dfrac{2a-2b}{a+b}==\)               

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