作业帮已知实数x,y,满足x-√x-1=√y+3-y,则x+y最大值是?
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/02 09:42:15
x){}Kl
JgضBQǬ
]C[ Um[cfv9
O,ڰٌ6IE/:b(VjhW%L[K}#. hX}#M#km@% q:X898Q 59 ָ83";[
m>`a>0GlM5Jf`/\P}M-[ XM6X"`L<҄$ =\bf PU]S mkM15J@aW`ȲϦ =<;P 2(
已知实数x,y,满足x-√x-1=√y+3-y,则x+y最大值是?
已知实数x,y,满足x-√x-1=√y+3-y,则x+y最大值是?
已知实数x,y,满足x-√x-1=√y+3-y,则x+y最大值是?
∵x-√x-1=√y+3-y ==>x-√x+1/4+y-√y+1/4=9/2
==>(√x-1/2)²+(√y-1/2)²=9/2
∴设√x-1/2=3cosa/√2,则√y-1/2=3sina/√2
∴x+y=(1/2+3cosa/√2)²+(1/2+3sina/√2)²
=5+3(sina/√2+cosa/√2)
=5+3(sina*cos(π/4)+cosa*sin(π/4))
=5+3*sin(a+π/4)
∵│sin(a+π/4)│≤1
∴│x+y-5│=3│sin(a+π/4)│≤3
==>-3≤x+y-5≤3
==>2≤x+y≤8
故x+y最大值是8.
已知实数x,y,满足x-√x-1=√y+3-y,则x+y最大值是?
已知实数x,y满足x-y
已知实数X,Y满足{|x+y|
已知实数x,y满足√x-2 + （y+1）²=0,则x-y=多少?
求救!已知实数x,y满足下面关系式:y=√x^2-1+√1-x^2/x-1-x+2,求x^y的值
已知实数x、y满足-1
已知实数x,y满足：1
已知实数x,y满足y=√2x-1+√1-2x +2,求xy的平方根
已知实数x,y满足{x=>0,y
已知实数x,y满足{x=>0,y
已知实数x,y满足y=√x-8+√16-2x+1/2,求xy的平方根
已知正实数x,y满足(x-1)(y+1)=16,x+y最小值是
已知实数x,y满足y=|x-1|,则x+2y的最大值是
已知实数x,y满足y=|x-1|若x+2y
已知实数x,y满足x-ay-1>=0,2x+y>=0,x
已知实数x,y满足方程x*x+y*y-4x+1=0.求y-x的最大值
已知实数x,y满足关系式1/2（x+y+5）=2√（x+1）+√(y-1)求x与y的值如题
已知实数x,y满足x^2+y^2+2x-2√3y=0,则（y+√3）/（x-1）的最大值.