x2 y2 z2⩾2xy⋅cosC 2yz⋅cosA 2zx⋅cosB,

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x2 y2 z2⩾2xy⋅cosC 2yz⋅cosA 2zx⋅cosB,
1.x-z/xy - 2ab/xy

1=(x-z-2ab)/xy2=(a²-2ab+b²)/a-b=(a-b)²/a-b=a-

在斜三角形ABC中,2sin2C*cosC-sin3C=根号三(1-cosC).①求角C的大小,②若AB=2,且sinC

方程左边2Sin2c*cosc-sin3c\x05方程右边=(1-Cosc)=2Sin2c*Cosc-Sin(c+2c)\x05=根号3*2sin(c/2)*sin(c/2)=2Sin2c*Cosc-

三角形ABC中sinA/cosB=(2cosC+cosA)/(2sinC-sinA) 求角C

sinA=(sinB+sinC)/(cosB+cosC)sin(B+C)=(sinB+sinC)/(cosB+cosC)sinBcosC+cosBsinC=(sinB+sinC)/(cosB+cosC

(xy-x^2)乘以(xy)/(x-y)

对.前提是x不等于y

cosB/cosC=-b/2a+c为什么可以直接转化成cosB/cosC=-sinB/(2sinA+sinC)?

因为a/sinA=b/sinB=c/sinC所以-b/(2a+c)=-sinB/(2sinA+sinC)再问:麻烦写一下中间转化过程和约掉的东西。。3Q再答:a=ksinAb=ksinBc=ksinC

在三角形ABC中,角A,B,C的对边分别为a,b,c,向量m=(2cosc/2,-sinc),n(cosc/2,2sin

m⊥n=>m.n=0(2cosc/2,-sinc).(cosc/2,2sinc)=02(cosc/2)^2-2(sinc)^2=0cosC+1-2(1-(cosC)^2)=02(cosC)^2+cos

向量m=(2cosC/2,-sinC) n=(cosC/2,2sinC) 向量m⊥n 角C=60° 若a²=2

m⊥n=>m.n=0(2cos(C/2),-sinC).(cos(C/2),2sinC)=02(cosC/2)^2-2(sinC)^2=0(2(cosC/2)^2-1)-2(sinC)^2+1=0co

xy-3xy+2yx-yx

=xy-3xy+2xy-xy=-xy

已知sinA是sin C和cosC的等差中项,sinB是sinC和cosC的等比中项,求证:2cos2A=cos2B.

(sinC+cosC)/2=sinA;sinB/sinC=cosC/sinB;顺序分析法:2cos2A=cos2B;2(1-2sinA^2)=1-2sinB^22[1-2((sinC+cosC)/2)

cosa+cosb+cosc=sina+sinb+sinc=0 求(cosa)^2+(cosb)^2+(cosc)^2

cosa+cosb+cosc=sina+sinb+sinc=0(cosa)^2=(cosb+cosc)^2=(cosb)^2+(cosc)^2+2*cosb*cosc.(1)(sina)^2=(sin

xy^2-2xy+2y-4

xy(y-2)+2(y-2)下步不写了能看懂吧?

3/2sinC-√3/2cosC=√6/2

xsina+ycosa=A(x/Asina+y/Acosb)=A(cosbsina+sinbcosa)=Asin(a+b),其中A=√(x^2+y^2),b=arctan(y/x)所以,这种题首先要除

在三角形ABC中,向量m=(2cosc/2,-sinc),n=(cosc/2,2sinc).且m垂直n.若a^2=2b^

2cosc/2的是这啊~这不是直接约了啊成为COSC如果题这是这样我再给你说

三角证明题已知(cosB)^2+(cosC)^2=1+(cosA)^2,sinA=2sinBcosC,cosC=sinB

高中数学有七八年没看了.格式写的不好.见谅证明:因为(sinB)^2+(cosB)^2=1所以,(cosB)^2+(cosC)^2=(sinB)^2+(cosB)^2+(cosA)^2.化简,(cos

在三角形中,求证b^2-c^2/cosB+cosC+c^2-a^2/cosC+cosA+a^2-b^2/cosA+cos

因为:a/sinA=b/sinB=c/sinC=2R所以:a^2=4R^2*sinAb^2=4R^2*sinBc^2=4R^2*sinC所以:(a^2-b^2)/(cosA+cosB)=4R^2*(s

因式分解:-xy^2+2xy-x

-xy^2+2xy-x=-x(y^2-2y+1)=-x(y-1)^2如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”

3xy-3xy-xy+2yx

3xy-3xy-xy+2yx=-xy+2xy=xy

设平面向量m=(cosc+sinb,-sinb),n=(cosc-sinb,sinc),m.n=cos^2a

1向量点乘公式(X1,Y1)点乘(X2,Y2)=X1X2+Y1Y2故cos^2C-sin^2B-sinbsinc=cos^2A然后,你这没有问题啊?我猜是三角,接下来的可能变形是首先全变sin这是能做

已知sinc+cosc=2sina,sinc*cosc=sin^b,求证:4cos^2 2a=cos^2 2b

由sinc+cosc=2sina平方可得1+2sinc*cosc=4sin^2a因sinc*cosc=sin^2b所以1+2sin^2b=4sin^2a2-4sin^2a=1-2sin^2b2cos2