优优班--学霸训练营 > 知识点挑题
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            • 1.
              对于分式\( \dfrac {x-b}{x+a}\),当\(x=-1\)时其值为\(0\),当\(x=1\)时此分式没有意义,那么\((\)  \()\)
              A.\(a=b=-1\)
              B.\(a=b=1\)
              C.\(a=1\),\(b=-1\)
              D.\(a=-1\),\(b=1\)
            • 2. 分式\( \dfrac {x+a}{3x-1}\)中,当\(x=-a\)时,下列结论正确的是\((\)  \()\)
              A.分式的值为零
              B.分式无意义
              C.若\(a\neq - \dfrac {1}{3}\)时,分式的值为零
              D.若\(a\neq \dfrac {1}{3}\)时,分式的值为零
            • 3.

              若\(\dfrac{\left| a \right|}{a-{{a}^{2}}}=\dfrac{1}{a-1}\),则\(a\)的取值范围是

              A.\(a > 0\)且\(a\ne 1\)
              B.\(a\leqslant 0\)
              C.\(a\ne 0\)且\(a\ne 1\)
              D.\(a < 0\)
            • 4.

              函数\(y=\sqrt{3-x}+\dfrac{1}{x-4}\)的自变量\(x\)的取值范围是\((\)    \()\)

              A.\(x\leqslant 3\)
              B.\(x\ne 4\)
              C.\(x\geqslant 3\)且\(x\ne 4\)
              D.\(x\leqslant 3\)或\(x\ne 4\)
            • 5.

              甲、乙两位同学对代数式\(\dfrac{a-b}{\sqrt{a}+\sqrt{b}}(a > 0,b > 0)\),分别作了如下变形:

              甲:\(\dfrac{a-b}{\sqrt{a}+\sqrt{b}}=\dfrac{(a-b)(\sqrt{a}-\sqrt{b})}{(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})}=\sqrt{a}-\sqrt{b}\)

              乙:\(\dfrac{a-b}{\sqrt{a}+\sqrt{b}}=\dfrac{(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})}{\sqrt{a}+\sqrt{b}}=\sqrt{a}-\sqrt{b}\)

              关于这两种变形过程的说法正确的是\((\)    \()\)

              A.甲、乙都正确
              B.甲、乙都不正确
              C.只有甲正确
              D.只有乙正确
            • 6.

              函数\(y=\dfrac{1}{x-1}+\sqrt{x-3}\)的自变量\(x\)的取值范围是

              A.\(x\geqslant 3\)                      
              B.\(x\geqslant 3\)且\(x\neq 1\)        
              C.\(x\neq 3\)                    
              D.\(1\leqslant x\leqslant 3\)
            • 7.

              在函数\(y=\dfrac{x}{\sqrt{x-1}}\) 中,自变量\(x\)的取值范围是(    )

              A.\(x > 1\)         
              B.\(x > 0\)          
              C.\(x\ne 1\)
              D.\(x\geqslant 1\)
            • 8.
              若函数\(y= \dfrac {1}{x^{2}+2x+c}\)的自变量\(x\)取值范围是一切实数,则\(c\)的范围是\((\)  \()\)
              A.\(c > 1\)
              B.\(c=1\)
              C.\(c < 1\)
              D.\(c\leqslant 1\)
            0/40

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