优优班--学霸训练营 > 知识点挑题
全部资源
          排序:
          最新 浏览

          50条信息

            • 1.

              \(\int_{0}^{\frac{\pi }{2}}{\left( \sin x+\cos x \right)}dx=\)_____

            • 2. 过原点的直线\(l\)与抛物线\(y=x^{2}-2ax(a > 0)\)所围成的图形面积为\( \dfrac{9}{2}a^{3}\),则直线\(l\)的方程为\((\)  \()\)
              A.\(y=ax\)           
              B.\(y=±ax\)           
              C.\(y=-ax\)        
              D.\(y=-5ax\)
            • 3.

              \((1)\)计算\(\int_{{-}1}^{0}{\left( x{+}1 \right){dx}}{=}\)_________________.

              \((2)\)已知函数\(f\left( x \right){=}2\sin{\left( \omega x{+}\dfrac{\pi}{3} \right)\ \left( \omega{ > }0 \right){,}A{,}B}\)是函数\(y{=}f(x)\)图象上相邻的最高点和最低点,若\(\left| {AB} \right|{=}2\sqrt{5}\),则\(f\left( 1 \right){=}\)_______________.

              \((3)\)已知双曲线\(\dfrac{x^{2}}{a^{2}}{-}\dfrac{y^{2}}{b^{2}}{=}1(a{ > }0{,}b{ > }0)\)的一条渐近线方程是\(y{=}2x\),它的一个焦点与抛物线\(y^{2}{=}20x\)的焦点相同,则双曲线的方程是_____________________.

              \((4)\)如图,在平面四边形\({\ ABCD\ }\)中,\(AB{⊥}BC\),\(AD{⊥}CD\),\(\ {∠}BAD\ {=}\ 120{^{\circ}}\),\(\ AB\ {=}\ AD\ {=}\ 2.\)若点\(E\)为边\({CD}\)上的动点,则\(\overrightarrow{{AE}}{⋅}\overrightarrow{{BE}}\)的最小值为________________.

            • 4.
              已知曲线\(y=\sqrt{x}\),\(y=2-x\),\(y=-\dfrac{1}{3}x\)所围成的图形的面积为\(S\),则\(S=\)_______
            • 5.

              \(\int{\begin{matrix} & e \\ & 1 \\ \end{matrix}}\ln xdx =(\)   \()\)

              A.\(1\)  
              B.\(e\);   
              C.\(e-1\);  
              D.\(0\)
            • 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.

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

              A.\(\dfrac{\pi }{2}\)
              B.\(\dfrac{\pi }{3}\)
              C.\(\dfrac{\pi }{4}\)
              D.\(\dfrac{\pi }{2}+1\)
            • 10. 已知函数f(x)=
              20x-5x2
              ,2≤x≤4
              x
              x2+1
              ,x<2
              ,则定积分
              4
              -2
              f(x)dx
              =    
            0/40

            进入组卷