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( )
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\((\) \()\)
\({{\underset{0}{ \int }\,}^{1}}\sqrt{1-{{\left( x-1 \right)}^{2}}}dx=\)( )
若\(a=\int_{1}^{2}{{{e}^{x}}}dx\),\(b=\int_{1}^{2}{x}dx\),\(c=\int_{1}^{2}{\dfrac{1}{x}}dx\),则\(a,b,c\)的大小关系是\((\) \()\)
定义:\(\left| \begin{matrix} a & b \\ c & d \\\end{matrix} \right|=ad-bc\),如\(\left| \begin{matrix} 1 & 2 \\ 3 & 4 \\\end{matrix} \right|=1\times 4-2\times 3=-2\),则\(\left| \begin{matrix} \int_{1}^{2}{xdx} & 3 \\ 1 & 2 \\\end{matrix} \right|=(\) \()\).
\(∫_{−1}^{1}( \sqrt{1−{x}^{2}}+\sin x)dx =\)_________.
已知\(\int_{0}^{2}{(3{{x}^{2}}+k)dx=16}\) ,则\(k= (\) \()\)
进入组卷