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            • 1.

              已知\(f(x)\)为偶函数且\(\int_{0}^{6}{f(x)dx=8}\),则\(\int_{-6}^{6}{f(x)dx=}\)                  \((\)   \()\)

              A.\(0\)
              B.\(4\)
              C.\(16\)
              D.\(64\)
            • 2.

              在等比数列\(\{a_{n}\}\)中,\(a_{3}=7\),前\(3\)项之和\(S_{3}=21\),则公比\(q\)的值为\((\)  \()\)

              \({\,\!}\)

              A. \({-}\dfrac{1}{2}\)
              B.\(1\)
              C.\({-}1\)或\({-}\dfrac{1}{2}\)
              D.\(1\)或\({-}\dfrac{1}{2}\)
            • 3.

              若\(f(x)={{x}^{2}}+2\int_{0}^{1}{f(x)dx}\),则\(\int_{0}^{1}{f(x)}dx= (\)   \()\)

              A.\(-1\)
              B.\(-\dfrac{1}{3}\)
              C.\(\dfrac{1}{3}\)
              D.\(1\)
            • 4.

              \(\int_{2}^{3}{\sqrt{1-{{(x-3)}^{2}}}}dx =\)            

            • 5.

              \(\int_{0}^{1}{({{e}^{x}}+2x)dx}=\)      

            • 6. 定积分\( \int _{ 0 }^{ 1 }(2+ \sqrt {1-x^{2}})dx=\) ______
            • 7.

              \(\int_{0}^{1}{\sqrt{1-{{(x-1)}^{2}}}dx=}\)________.

            • 8.

              由直线\(x=1\),\(x=2\),曲线\(y= \dfrac{1}{x} \)及\(x\)轴所围成的封闭图形的面积是       



              若复数\(z\)满足\((3+4\)\(i\)\()\)\(z\)\(=|3-4\)\(i\)\(|\),其中\(i\)为虚数单位,则\(z\)虚部为              





               若函数\(f\)\((\)\(x\)\()=\)\(x\)\({\,\!}^{3}-3\)\(x\)在\((\)\(a\),\(6-\)\(a\)\({\,\!}^{2})\)上有最大值,则实数\(a\)的取值范围是         





              已知函数\(f\)\((\)\(x\)\()=\ln \) \(x\)\(- \dfrac{1}{4} \) \(x\)\(+ \dfrac{3}{4x} -1\),\(g\)\((\)\(x\)\()=-\)\(x\)\({\,\!}^{2}+2\)\(bx\)\(-4\),若对任意的\(x\)\({\,\!}_{1}∈(0,2)\),任意的\(x\)\({\,\!}_{2}∈[1,2]\),不等式\(f\)\((\)\(x\)\({\,\!}_{1})\geqslant \)\(g\)\((\)\(x\)\({\,\!}_{2})\)恒成立,则实数\(b\)的取值范围是              

            • 9.

              由曲线\(y={{x}^{2}}\)、和直线\(x=0,x=1,y={{t}^{2}},t\in (0,1)\)所围成的图形面积的最小值\((\)    \()\)

              A.\(\dfrac{2}{3}\)
              B.\(\dfrac{1}{3}\)
              C.\(\dfrac{1}{2}\)
              D.\(\dfrac{1}{4}\)
            • 10.

              已知函数\(f(x)=\dfrac{x+1}{{{e}^{x}}}\),

              \((1)\)当\(x\in [-1,2]\)时,函数\(f(x)\)的值域为\([a,b]\),求\(a+b\);

              \((2)\)若\(n=\int_{0}^{1}{{{(1-\sqrt{x})}^{2}}}dx\),试求\((1-x){{(\dfrac{1}{3n}+x)}^{5}}\)的展开式中含\({{x}^{2}}\)项的系数

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