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 ()
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 ()
设方程\(z^2+y^2+z^2 = 4z\)确定函数\(z=z(x,y)\),则\( { { {\partial ^2}z} \over {\partial {x^2}}} =\) A: \( { { { { (2 - z)}^2} + {x^2}} \over { { {(2+ z)}^3}}}\) B: \( { { { { (2 - z)}^2} + {x^2}} \over { { {(2 - z)}^3}}}\) C: \( { { { { (2 - z)}^2} -{x^2}} \over { { {(2 - z)}^3}}}\) D: \( { { { { (2 + z)}^2} + {x^2}} \over { { {(2 - z)}^3}}}\)
设方程\(z^2+y^2+z^2 = 4z\)确定函数\(z=z(x,y)\),则\( { { {\partial ^2}z} \over {\partial {x^2}}} =\) A: \( { { { { (2 - z)}^2} + {x^2}} \over { { {(2+ z)}^3}}}\) B: \( { { { { (2 - z)}^2} + {x^2}} \over { { {(2 - z)}^3}}}\) C: \( { { { { (2 - z)}^2} -{x^2}} \over { { {(2 - z)}^3}}}\) D: \( { { { { (2 + z)}^2} + {x^2}} \over { { {(2 - z)}^3}}}\)
已知int x=1,y=2,z=3;以下语句执行后x,y,z的值是( ). if(x>y) z=x; x=y; y=z; A: x=1, y=2, z=3 B: x=2, y=3, z=3 C: x=2, y=3, z=1 D: x=2, y=3, z=2
已知int x=1,y=2,z=3;以下语句执行后x,y,z的值是( ). if(x>y) z=x; x=y; y=z; A: x=1, y=2, z=3 B: x=2, y=3, z=3 C: x=2, y=3, z=1 D: x=2, y=3, z=2
已知int x=1,y=2,z=3;执行if(x>y) z=x;x=y;y=z;后x,y,z的值为( ) A: x=1,y=2,z=3 B: x=2,y=3,z=3 C: x=2,y=3,z=1 D: x=2,y=3,z=2
已知int x=1,y=2,z=3;执行if(x>y) z=x;x=y;y=z;后x,y,z的值为( ) A: x=1,y=2,z=3 B: x=2,y=3,z=3 C: x=2,y=3,z=1 D: x=2,y=3,z=2
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: $\frac{z({{z}^{3}}-2xy{{z}^{2}}-{{x}^{2}}y)}{{{({{z}^{2}}-xy)}^{3}}}$
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: $\frac{z({{z}^{3}}-2xy{{z}^{2}}-{{x}^{2}}y)}{{{({{z}^{2}}-xy)}^{3}}}$
\( xoz \) 坐标面上的直线\( x = z - 2 \)绕\( z \)轴旋转而成的圆锥面的方程为( ) A: \( {x^2} - {y^2} = {(z - 2)^2} \) B: \( {x^2} + {y^2} = {(z - 2)^2} \) C: \( {z^2} + {y^2} = {(x - 2)^2} \) D: \( {z^2} + {x^2} = {(y - 2)^2} \)
\( xoz \) 坐标面上的直线\( x = z - 2 \)绕\( z \)轴旋转而成的圆锥面的方程为( ) A: \( {x^2} - {y^2} = {(z - 2)^2} \) B: \( {x^2} + {y^2} = {(z - 2)^2} \) C: \( {z^2} + {y^2} = {(x - 2)^2} \) D: \( {z^2} + {x^2} = {(y - 2)^2} \)
已知x=1,y=2,z=3,执行下列语句if(x>y) z=x;x=y;y=z;则x,y,z的值分别是 A: x=1,y=2,z=3 B: x=2,y=3,z=1 C: x=2,y=2,z=1 D: x=2,y=3,z=3
已知x=1,y=2,z=3,执行下列语句if(x>y) z=x;x=y;y=z;则x,y,z的值分别是 A: x=1,y=2,z=3 B: x=2,y=3,z=1 C: x=2,y=2,z=1 D: x=2,y=3,z=3
已知向量a=(x,2,-10),b=(3,1,z)平行,则坐标x,z分别为( ). A: x=2,z=1 B: x=1,z=2 C: x=6,z=-5 D: x=-6,z=5
已知向量a=(x,2,-10),b=(3,1,z)平行,则坐标x,z分别为( ). A: x=2,z=1 B: x=1,z=2 C: x=6,z=-5 D: x=-6,z=5
已有定义语句:int x=2,y=4,z=6;if(x>y) z=x;x=y;y=z;执行上述语句后x,y,z的值是____。 A: x=4,y=2,z=2 B: x=4,y=4,z=2 C: x=4,y=6,z=6 D: x=4,y=2,z=6
已有定义语句:int x=2,y=4,z=6;if(x>y) z=x;x=y;y=z;执行上述语句后x,y,z的值是____。 A: x=4,y=2,z=2 B: x=4,y=4,z=2 C: x=4,y=6,z=6 D: x=4,y=2,z=6
设方程\({x^2} + {y^2} + {z^2} = 2Rx\)确定函数\(z=z(x,y)\),则\( { { \partial z} \over {\partial x}}=\) A: \( { { \partial z} \over {\partial x}} = { { R +x} \over z}\) B: \( { { \partial z} \over {\partial x}} =- { { R +x} \over z}\) C: \( { { \partial z} \over {\partial x}} = { { R - x} \over z}\) D: \( { { \partial z} \over {\partial x}} =- { { R - x} \over z}\)
设方程\({x^2} + {y^2} + {z^2} = 2Rx\)确定函数\(z=z(x,y)\),则\( { { \partial z} \over {\partial x}}=\) A: \( { { \partial z} \over {\partial x}} = { { R +x} \over z}\) B: \( { { \partial z} \over {\partial x}} =- { { R +x} \over z}\) C: \( { { \partial z} \over {\partial x}} = { { R - x} \over z}\) D: \( { { \partial z} \over {\partial x}} =- { { R - x} \over z}\)