设`\f(x,y,z) = x^2 + 4xy + ky^2 + z^2` 为正定二次型,则实数`\k`的取值范围是 ()
举一反三
- 已知实数x,y满足,则z=2|x|+y的取值范围是_________
- 9. 已知函数$z=z(x,y)$由${{z}^{3}}-3xyz={{a}^{3}}$确定,则$\frac{{{\partial }^{2}}z}{\partial x\partial y}=$( ) A: $\frac{z({{z}^{4}}-2xy{{z}^{2}}-{{x}^{2}}{{y}^{2}})}{{{({{z}^{2}}-xy)}^{3}}}$ B: $\frac{z({{z}^{4}}-2xy{{z}^{2}}-xy)}{{{({{z}^{2}}-xy)}^{2}}}$ C: $\frac{z({{z}^{3}}-2xyz-{{x}^{2}}{{y}^{2}})}{{{({{z}^{2}}-xy)}^{3}}}$ D: $\frac{z({{z}^{3}}-2xy{{z}^{2}}-{{x}^{2}}y)}{{{({{z}^{2}}-xy)}^{3}}}$
- 设x=2,y=3,z=4,k=5,则表达式“x 2
- 设x、y、z和k都是int型变量,则执行表达式:x=(y=2,z=4,k=6) 后,x的值为4
- 设X、Y、Z是实数集R的子集,且X={x|-2<x<5},Y={x|x+1>4},Z={x|x2-3x>0},则(X-Y)∩Z=