已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1 "| |"代表绝对值
来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/21 14:06:56
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1"||"代表绝对值已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1 "| |"代表绝对值
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1 "| |"代表绝对值
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1 "| |"代表绝对值
|x+y/1+xy|=|x+y/1+xy-1+1|
=|(-1-xy+x+y)/(1+xy)+1|
=|-(1-x)(1-y)/(1+xy)+1|
|x|≤1,|y|≤1
1-x>=0
1-y>=0
1+xy>=0
-(1-x)(1-y)/(1+xy)
不对。若X=1,Y=1时,代数式值>1.
已知|x|≤1,|y|≤1,求证:|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证:|x+y/1+xy|≤1.求证:|(x+y)/(1+xy)|≤1.
已知x^2-2xy+y^2+x+y+1=0求证:1/3≤y/x≤3
已知x,y∈R,求证:x+y+1≥x+y+xy
已知x,y∈R,求证:x^2+y^2≥xy+x+y-1
已知x,y,z∈R,求证:x^2+y^2>=xy+x+y-1
已知x,y∈R,求证:x-xy+y≥x+y-1
已知x>0y>01/x+9/y=1,求证:x+y>=16.快
已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1.已知|x|≤1,|y|≤1,求证|x+y/1+xy|≤1 | |代表绝对值
已知x>y>0,求证x+1/(x-y)x>=3
已知x²+y²≤1,求证:|x²+2xy-y²|≤根号2
已知x,y属于R 满足(x^2+y^+2)(x^2+y^2-1)-18≤0 求证 xy≤2
已知x,y∈R,满足(x²+y²+2)(x²+y²-1)-18≤0.求证:xy≤2
已知非负实数x,y,z满足x+y+z=3 (2),求证x^2/(1+x^4)+y^2/(1+y^4)+z^2/(1+z^4)≤1/(1+x)+1/(1+y)+1/(1+z)
已知x,y,z∈R,若x^4+y^4+z^4=1,求证x^2+y^2+z^2≤根号3
已知y>x>e,求证:x^y>y^x
若x.y属于R,且满足(X*X+Y*Y+2)(X*X+Y*Y-1)-18≤0.求证:XY≤2
f(x+y)+f(x-y)=2f(x)g(x)求证g(y)≤1
已知x,y,z>0,xyz(x+y+z)=1,求证(x+y)(x+z)>=2