优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知函数\(f(x)=x^{2}+2x+1-2^{x}\),则\(y=f(x)\)的图象大致为\((\)  \()\)

              A.
              B.
              C.
              D.
            • 2.

              已知\(f(x)\)是定义在\(R\)上的奇函数,对任意两个不相等的正数\(x_{1}\)、\(x_{2}\)都有\(\dfrac{{x}_{2}f({x}_{1})−{x}_{1}f({x}_{2})}{{x}_{1}−{x}_{2}} < 0 \),记\(a= \dfrac{f({4.1}^{0.2})}{{4.1}^{0.2}} \),\(b= \dfrac{f({0.4}^{2.1})}{{0.4}^{2.1}} \),\(c= \dfrac{f({\log }_{0.2}4.1)}{{\log }_{0.2}4.1} \),则\((\)    \()\)


              A.\(a < c < b\)
              B.\(a < b < c\)
              C.\(c < b < a\)
              D.\(b < c < a\)
            • 3. 函数\(y=\log \;_{ \frac {1}{2}}|x-3|\)的单调递减区间是 ______ .
            • 4.

              已知\(a > \)\(0\),\(b > \)\(0\),\(ab=\)\(8\),则当\(a\)的值为            时,\(\log _{2}\)\(a\)\(·\log _{2}(2\)\(b\)\()\)取得最大值 

            • 5.

              函数\(f(x)=\ln \left({x}^{2}-2x-8\right) \) 的单调递增区间是\((\)        \()\)

              A.\((-∞,-2)\)                      
              B.\((-∞,-1)\)                     
              C.\((1, +∞)\)                    
              D.\((4, +∞)\)
            • 6. 已知函数\(f(x)=2\sin ^{2}(x+ \dfrac {3π}{2})+ \sqrt {3}\sin (π-2x)\)
              \((1)\)若\(x∈[0, \dfrac {π}{2}]\),求\(f(x)\)的取值范围;
              \((2)\)求函数\(y=\log _{ \frac {1}{2}}f(x)\)的单调增区间.
            • 7.
              函数 \(f\)\(( \)\(x\)\()=\log \) \({\,\!}_{a}\)\(( \)\(ax\)\(-3)\)在\([1,3]\)上单调递增,则 \(a\)的取值范围是
              A.\((1,+∞)\)         
              B.\((0,1)\)       
              C.\((0, \dfrac{1}{3})\)                         
              D.\((3,+∞)\)
            • 8. 函数\(y=\log _{ \frac {1}{2}}(2x^{2}-3x+1)\)的递减区间为 ______ .
            • 9.
              已知函数\(f(x)=\cos ^{2}x+\sin x-1(0\leqslant x\leqslant \dfrac {π}{2})\),则\(f(x)\)值域是 ______ ,\(f(x)\)的单调递增区间是 ______ .
            • 10.

              若当\({{a}_{0}}\)时,函数\(f\left( x \right)={{a}^{\left| x \right|}}\)始终满足\(0 < \left| f\left( x \right) \right|\leqslant 1\),则函数\(y={lo}{{{g}}_{a}}\left| \dfrac{1}{x} \right|\)的图象大致为\((\)     \()\) 

              A.
              B.
              C.
              D.
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