已知x>=0,y>=0,求证0.5(x+y)^2+0.25(x+y)>=x√y+y√x

来源：学生作业帮助网编辑：作业帮时间：2024/11/15 12:33:04

x��)�{�}��K+�l t*Aĳ�M/�7�jThWj�i�A�v��:fUjW� ��"}��Pf3T��6��obgk��5ַЌ�0�7�+UP��̀j*DQ�M��FE%T� �4�*+�1��#F5X1H�6�E�.#�#��z�d��I�M�l��@� vɯ�

已知x>=0,y>=0,求证0.5(x+y)^2+0.25(x+y)>=x√y+y√x
已知x>=0,y>=0,求证0.5(x+y)^2+0.25(x+y)>=x√y+y√x

已知x>=0,y>=0,求证0.5(x+y)^2+0.25(x+y)>=x√y+y√x
(x+y)^2/2+(x+y)/4>=2*((x+y)^3/8)^(1/2)
(x+y)^2/2+(x+y)/4>=(x+y)*((x+y)/2)^(1/2)
(x+y)^2/2+(x+y)/4>=2(xy)^(1/2) *((x+y)/2)^(1/2)
(x+y)^2/2+(x+y)/4>=(2yx^2+2xy^2)^(1/2)
(x+y)^2/2+(x+y)/4>=(yx^2+xy^2+yx^2+xy^2)^(1/2)
(x+y)^2/2+(x+y)/4>=(yx^2+xy^2+2xy)^(1/2)
(x+y)^2/2+(x+y)/4>=((xy^(1/2)+yx^(1/2))^2)^(1/2)
(x+y)^2/2+(x+y)/4>=xy^(1/2)+yx^(1/2)

已知x>y>0,求证x+1/(x-y)x>=3 已知x>0y>01/x+9/y=1,求证：x+y>=16.快已知x>=0,y>=0,求证0.5(x+y)^2+0.25(x+y)>=x√y+y√x 已知x+y+z=0求证x*x*x+y*y*y+z*z*z=3xyz 已知x,y,z>0,xyz(x+y+z)=1,求证（x+y）(x+z)>=2 已知x^+y^+z^-xy-zy-xz=0 求证x=y=z 已知X+Y+Z=0,求证X^3+Y^3+Z^3=3XYZ 已知：x+y+z=0,求证：x^3+y^3+z^3=3xyz 已知:x+y+z=0,求证x^3+y^3+z^3=3xyz 已知0小于X,y小于90度,tanx=3tany,求证x-y 已知我x>=0,y>=0,求证:1/2(x+y)^2+1/4(x+y)>=x根号下y+y根号下x 已知x>0 y>0 z>0 求证 (y/x+z/x)(x/Y+z/y)(x/z+y/z)>=8如题. 已知x-y/x+y=y+z/2(y-z)=z+x/3(z-x),求证8x+9y+5z=0THX.. 已知,x＞0,y＞0,x≠y,且x+y=x^2+y^2+xy,求证：1小于x+y小于4/3 已知x>0,y>0,z>0.求证（y/x+z/x）（x/y+z/y)(x/z+y/z）>=8 已知x,y,z 大于0,x+y+z=2,求证 xz/y(y+z)+zy/x(x+y)+yx/z(z+x)大于等于2/3 已知x>0,y>0,且xy-(x+y)=1,求证x+y>=2(根号2+1）已知x>0,y>0,x+y=1求证（1+1/x)(1+1/y)>=9