若x,y∈R且3x2+2y2=6,则x2+y2的最大值为______,最小值为______.
若实数x,y满足3x2+2y2=6x,则x2+y2的最大值为______.
若x,y∈R且x2+y2=1,则x-y的取值范围为______.
设x、y为实数,且x2+xy+y2=3,求x2-xy+y2的最大值和最小值.
已知|y|≤1且2x+y=1,则2x2+16x+3y2的最小值为______.
已知x,y∈R,3x2+y2≤3,则2x+3y的最大值是______.
已知2x+3y+4z=10,则x2+y2+z2的最小值为______.
已知实数x,y满足2x-y-5=0,则x2+y2的最小值为______.
已知x,y,z∈R,且x+y+z=1,x2+y2+z2=3,则xyz的最大值是______.
若实数x,y,z满足x+2y+3z=a(a为常数),则x2+y2+z2的最小值为______.
已知实数x、y满足(x2+y2)(x2+y2-1)=2,则x2+y2的值为______.
实数x、y满足3x2+2y2=6x,则x2+y2的最大值为( )
若实数x,y满足|xy|=1,则x2+4y2的最小值为______.