共50条信息
\(11.\)实数\(x\),\(y\)满足约束条件\(\begin{cases} & x+3y\leqslant 3 \\ & x-y\geqslant 1 \\ & y\geqslant 0 \end{cases}\),它表示的平面区域为\(C\),目标函数\(z=x-2y\)的最小值为\({{p}_{1}}.\)由曲线\({{y}^{2}}=3x\left( y\geqslant 0 \right)\),直线\(x=3\)及\(x\)轴围成的平面区域为\(D\),向区域\(D\)内任投入一个质点,该质点落入\(C\)的概率为\({{p}_{2}}\),则\(2{{p}_{1}}-4{{p}_{2}}\)的值为( )
\(∫_{0}^{1}\left|{x}^{2}-1\right|dx= \) \((\) \()\)
从图中所示的矩形\(OABC\)区域内任取一点\(M(x,y)\),则点\(M\)取自阴影部分的概率为\((\) \()\)
\({{\underset{0}{ \int }\,}^{1}}\sqrt{1-{{\left( x-1 \right)}^{2}}}dx=\)( )
\({\int }{{ }}_{0}^{\frac{\pi}{2}}\sin^{2}\dfrac{x}{2}dx{=}({ })\)
函数\(f\left( x \right)=\begin{cases} 2-x,{ }x\leqslant 0, \\ \sqrt{4-{{x}^{2}}},0 < x\leqslant 2, \end{cases}\),则\(\int{_{-2}^{2}}f\left( x \right)dx\)的值为 \((\) \()\)
曲线\(y= \sqrt{x}\),\(y=2-x\),\(y=- \dfrac{1}{3}x\)所围成图形的面积为 \((\) \()\)
已知\({S}_{1}=\int _{1}^{2}xdx,{S}_{2}=\int _{1}^{2}{e}^{x}dx,{S}_{3}=\int _{1}^{2}{x}^{2}dx \) ,则\({{S}_{1}},{{S}_{2}},{{S}_{3}}\)的大小关系为\((\) \()\)
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