优优班--学霸训练营 > 知识点挑题
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            • 1.
              若\(a < b < 0\),则下列不等式关系中,不能成立的是\((\)  \()\)
              A.\( \dfrac {1}{a} > \dfrac {1}{b}\)
              B.\( \dfrac {1}{a-b} > \dfrac {1}{a}\)
              C.\(a\;^{ \frac {1}{3}} < b^{ \frac {1}{3}}\)
              D.\(a^{2} > b^{2}\)
            • 2.
              若\(\log _{2}a < 0\),\(( \dfrac {1}{2})^{b} > 1\),则\((\)  \()\)
              A.\(a > 1\),\(b > 0\)
              B.\(a > 1\),\(b < 0\)
              C.\(0 < a < 1\),\(b > 0\)
              D.\(0 < a < 1\),\(b < 0\)
            • 3.
              已知函数\(f(x)=x+2^{x}\),\(g(x)=x+\ln x\),\(h(x)=x- \sqrt {x}-1\)的零点分别为\(x_{1}\),\(x_{2}\),\(x_{3}\),则\(x_{1}\),\(x_{2}\),\(x_{3}\)的大小关系是\((\)  \()\)
              A.\(x_{1} < x_{2} < x_{3}\)
              B.\(x_{2} < x_{1} < x_{3}\)
              C.\(x_{1} < x_{3} < x_{2}\)
              D.\(x_{3} < x_{2} < x_{1}\)
            • 4.
              设\(a=3^{0.5}\),\(b=\log _{3}2\),\(c=\cos 2\),则\((\)  \()\)
              A.\(c < b < a\)
              B.\(c < a < b\)
              C.\(a < b < c\)
              D.\(b < c < a\)
            • 5.
              已知\(x=\ln π\),\(y=\log _{5}2\),\(z=e^{- \frac {1}{2}}\),则\((\)  \()\)
              A.\(x < y < z\)
              B.\(z < x < y\)
              C.\(z < y < x\)
              D.\(y < z < x\)
            • 6.,则P,Q中较大的数是 ______
            • 7. 已知0<c<1,a>b>1,下列不等式成立的是(  )
              A.ca>cb
              B.ac<bc
              C.
              D.logac>logbc
            • 8. 已知a,b为实数,且a≠b,a<0,则a ______ 2b-.(填“>”、“<”或“=”)
            • 9.

              已知\(f(x)\)是定义在\((0,+∞)\)上的函数,对任意两个不相等的正数\(x_{1}\),\(x_{2}\),都有\(x_{2}f(x_{1})-x_{1}f(x_{2}) < 0\),记\(a=\dfrac{f({{2}^{0.2}})}{{{2}^{0.2}}}\),\(b=\dfrac{f(\sin \dfrac{\pi }{6})}{\sin \dfrac{\pi }{6}}\),\(c=\dfrac{f({{\log }_{\pi }}3)}{{{\log }_{\pi }}3}(\)   \()\)

              A.\(c < b < a\)
              B.\(c < a < b\)
              C.\(b < a < c\)
              D.\(b < c < a\)
            • 10.

              已知\(a={{(\dfrac{1}{3})}^{\frac{2}{5}}}\),\(b={{(\dfrac{2}{3})}^{\frac{2}{5}}}\),\(c={{\log }_{\frac{1}{3}}}\dfrac{1}{5}\),则\(a\)\(b\)\(c\)的大小关系是(    )

              A.\(a\)\( > \) \(b\)\( > \) \(c\)
              B.\(b\)\( > \) \(a\)\( > \) \(c\)
              C.\(a\)\( > \) \(c\)\( > \) \(b\)
              D.\(c\)\( > \) \(b\)\( > \) \(a\)
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