优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知常数\(a > 0\),函数\(f(x)= \dfrac {2^{x}}{2^{x}+ax}\)的图象经过点\(P(p, \dfrac {6}{5})\),\(Q(q,- \dfrac {1}{5}).\)若\(2^{p+q}=36pq\),则\(a=\) ______
            • 2.
              设函数\(f(x)=\begin{cases} & 1+{{\log }_{2}}(2-x),x < 1, \\ & {{2}^{x-1}},x\geqslant 1, \\ \end{cases}\)则\(f(-2)+f(\log _{2}12)=\)(    )
              A.\(3\)
              B.\(6\)
              C.\(9\)
              D.\(12\)
            • 3.

              已知\(a={{2}^{\frac{4}{3}}}\),\(b={{4}^{\frac{3}{4}}}\),\(c={{25}^{\frac{1}{3}}}\),则(    )

              A.\(b < a < c\)
              B.\(a < b < c\)
              C.\(b < c < a\)
              D.\(c < a < b\)
            • 4. 计算(=(  )
              A.
              B.
              C.
              D.
            • 5. \((1)\)设全集\(U=R\),集合\(A=\{x|-1\leqslant x < 3\}\),\(B=\{x|2x-4\geqslant x-2\}.\)求\(A∪B\),\(∁_{U}(A∩B)\);
              \((2)\)化简求值:\( \sqrt {6 \dfrac {1}{4}}+ \sqrt[3]{8^{2}}+0.027\;^{- \frac {2}{3}}×(- \dfrac {1}{3})^{-2}\).
            • 6. 化简\( \sqrt {9x^{2}-6x+1}-( \sqrt {3x-5})^{2}\),结果是\((\)  \()\)
              A.\(6x-6\)
              B.\(-6x+6\)
              C.\(-4\)
              D.\(4\)
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