a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 06:50:55
a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?

a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?
a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?

a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?
(a+b+c):(x+y+z)=5:6

柯西不等式
(a^2+b^2+c^2)(x^2+y^2+z^2)>=(ax+by+cz)^2
等号成立当且当
a/x=b/y=c/z
25*36=30*30
所以等号成立
a/x=b/y=c/z=(a+b+c)/(x+y+z)=5/6

是道老题

a(x-y)(x+y)-b(y-x)(x+y)-c(x-y)^2(y+x)提取公因式 (x+y)^2-z^=a^2-(b-c)^2=(x-y)^3-x+y=16(x+y)^2-25(x-y)^2= (y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z)/(y+z-2x)(x+z-2y)的值我已经做到这了:设(X-Y)为a (Z-Y)为b (Z-X)为c则原题= (-a*-c)/-(a+b)(b+c)+ab/-(c+b)(a+c)+c*-b/(-a+c)(a+b) 几道 数学题急啊 对了再加20分(x+y)^2-(x+y)^3(x-y)^2-(x-y)^3 (x-y)^2-(y-x)^32(x-y)-3(y-x)^24ab(a+b)^2-6a^2b(a+b)(x+y)(x-y)-(x+y)^28a(x-y)^2-4b(y-x)a=-5 a+b+c=-5.2求代数式a^2(-b-c)-3.2a(c+b)的值 (a-b+c)(a+b-c)=?(2a-b)^2-(2a+b)^2=?(-x-y)(y-x)+(-x-y)(x+y)=?若a^2+b(a-b+c)(a+b-c)=?(2a-b)^2-(2a+b)^2=?(-x-y)(y-x)+(-x-y)(x+y)=?若a^2+b^2.a-b=1.2,求a,b的值 2y(2y-x)四次方/6x(x-2y)三次方 分式约分~例如:A/B=a×b/a×c=b/c 初一因式分解练习题,谁好心帮我解下表示平方1.2X~-3XY-X2.(X+Y)~(X+Y)(X-Y)(X+Y)(Y+Z)3.3X(a+2b)~-6XY(a+2b)4.a(x-y)-b(X-Y)-C(Y-X)5.(b-a)~-2a+2b6.(x-y)~-m(y-x)+y-x7.x(x-y)(a-b)-y(y-x)(b-a)8.已知a+b=13,ab=40,求 b+ab~的值 1、(x+y)-(x+y)^32、x(x-y)-y(y-x)3、(a-b)^2-4b+4a4、a^n+1+a^n+a^n-15、x(x+y)(x-y)-x(x+y)^26、已知a+c-7=0,求(a+b)^2-2a(b-c)-2b(b-c)+(c-b)^2的值7、x^2-8y^2(x^2-2y^2) x>0,y>0,a=x+y,b=x^c·y^(1-c),其中c=(cosθ)^2,求a,b的大小 已知x>0,y>0,a=x+y,b=x^c+y^(1-c),其中c=(cosθ)^2,求a,b大小关系 已知x=y,则下面变形错误的是 A.x+a=y+a B.x-a=y-a C.2x=2y已知x=y,则下面变形错误的是 A.x+a=y+a B.x-a=y-a C.2x=2y D.x/a=y/a a=2,b=4,c=6,x,y y=(x=a+b),(b+c),x和y的值 如果A={(x,y)|x,y+2>0},B={(x,y)|2x+3y-6>0},C={(x,y)|x-4 已知a+b>c,b+c>a,a+c>b求证a^3+b^3+c^3-a(b-c)^2-b(c-a)^2-c(a-b)^2-4abcc,b+c>a,a+c>b 所以不妨设a=x+y b=y+z c=z+x 其中x,y,z>0 则a^3+b^3+c^3-a(b-c)^2-b(c-a)^2-c(a-b)^2-4abc(化简消元)=-2(x^2y+xy^2+y^2z+yz^2+z^2x+zx^2+4xyz)c,b+c>a,a+c>b 1.a/(b+c)=b/(a+c)=c/(a+b)=k,求k值.2.x/(y+z)=a,y/(z+x)=b,z/(x+y)=c,a/(1+a)+b/(1+b)+c/(1+c)=3.1/(x-2)(x-5)=A/(x-2)+B/(x-5),求A=___,B=___ a/x-y,b/3y-3x,c/x^2-2xy+y^2通分 设A={(x,y)}|3x+2y|.设A={(x,y)}|3x+2y|.B={(x,y)|x-y=2|},C={(x,y)|2x-2y|=3},D={(x,y)|6x+4y=2|},求A∩B,B∩C,A∩D设A={(x,y)|3x+2y=1}.B={(x,y)|x-y=2},C={(x,y)|2x-2y=3},D={(x,y)|6x+4y=2},求A∩B,B∩C,A∩D 证明A减(B并C)=(A-B)交(A-C)(x,y+3)=(y-1,2x)求x,y