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. 设函数 \(f\)\(( \)\(x\)\()\), \(g\)\(( \)\(x\)\()\)在\((3,7)\)上均可导,且\({f}^{,}(x) < {g}^{,}(x) \),则当\(3 < \) \(x\)\( < 7\)时,有(    )
              A.\(f\)\(( \)\(x\)\() > \) \(g\)\(( \)\(x\)\()\)                  
              B.\(f\)\(( \)\(x\)\() < \) \(g\)\(( \)\(x\)\()\)
              C. \(f\)\(( \)\(x\)\()+\) \(g\)\((3) < \) \(g\)\(( \)\(x\)\()+\) \(f\)\((3)\)         
              D.\(f\)\(( \)\(x\)\()+\) \(g\)\((7) < \) \(g\)\(( \)\(x\)\()+\) \(f\)\((7)\)
            • 7.

              函数\(f(x)=\dfrac{\cos x·\ln (1+x)}{x} \)的部分图象大致为\((\)  \()\)

              A.
              B.
              C.
              D.
            • 8.

              下列说法正确的是(    )

              A.若\(\dfrac{1}{a} > \dfrac{1}{b} \),则\(a < b\)
              B.若命题\(p:∃x∈(0,π),x+ \dfrac{1}{\sin x}\leqslant 2 \),则\(¬P\)为真命题
              C.已知命题\(p\),\(q\),“\(p\)为真命题”是“\(p∧q\)为真命题”的充要条件
              D.若\(f(x)\)为\(R\)上的偶函数,则\(∫_{-1}^{1}f(x)dx=0 \)
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