问题3:直线y=-x+2与曲线y²=x的交点为( )
A: (1,1)
B: (4,-2)
C: (1,1)或(4,-2)
D: (1,1)和(4,-2)
A: (1,1)
B: (4,-2)
C: (1,1)或(4,-2)
D: (1,1)和(4,-2)
举一反三
- 随机变量(X,Y)服从二维正态分布,其边缘分布为X~N(1,1),Y~N(2,4),X与Y的相互关系为ρXY=0.5,且概率P{aX+bY≤1}=1/2,则(). A: a=1/2,b=-1/4 B: a=1/4,b=-1/2 C: a=-1/4,b=1/2 D: a=1/2,b=1/4
- 方程${{x}^{2}}{{y}^{''}}-(x+2)(x{{y}^{'}}-y)={{x}^{4}}$的通解是( ) A: $y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{2}})$ B: $y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{4}})$ C: $y={{C}_{1}}x+{{C}_{2}}x{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{4}})$ D: $y={{C}_{1}}x+{{C}_{2}}x{{e}^{x}}-(\frac{1}{2}{{x}^{3}}+{{x}^{2}})$
- 如果x<-(1,1),且y<-(2,2),那么命令x%*%y将返回 A: 1 B: 2 C: 3 D: 4
- 计算二重积分[img=159x48]18030731271aaff.png[/img], D 是单位圆盘[img=89x26]180307312f6708b.png[/img],应使用的语句是 A: Integrate[Sqrt[x^2+y^2 ], {x^2+y^2≤1}] B: Integrate[Sqrt[x^2+y^2 ]Boole[x^2+y^2≤1],{x,-1,1},{y,-1,1}] C: NIntegrate[Sqrt[x^2+y^2 ]Boole[x^2+y^2≤1],{x,-1,1},{y,-1,1}] D: Integrate[Sqrt[x^2+y^2 ],{x^2+y^2≤1,{x,-1,1},{y,-1,1}}]
- 设随机变量X和Y相互独立且X~N(0,1),Y~N(1,1),则( ). A: P{X + Y £ 0} = 1/2 B: P{X + Y £ 1} = 1/2 C: P{X - Y £ 0} = 1/2 D: P{X - Y £ 1} = 1/2