对于任意两个实数对(a,b)和(c,d),规定:(a,b)=(c,d),当且仅当a=c,b=d;运算"※"为:(a,b)※(c,d)=(ac,bd);运算"⊕"为:(a,b)⊕(c,d)=(a+c,b+d).设p、q满足(1,2)※(p,q)=(2,-4),则(1,2)⊕(p,q)等于多少?
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![对于任意两个实数对(a,b)和(c,d),规定:(a,b)=(c,d),当且仅当a=c,b=d;运算](/uploads/image/z/935251-43-1.jpg?t=%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E4%B8%A4%E4%B8%AA%E5%AE%9E%E6%95%B0%E5%AF%B9%28a%2Cb%29%E5%92%8C%28c%2Cd%29%2C%E8%A7%84%E5%AE%9A%EF%BC%9A%28a%2Cb%29%3D%28c%2Cd%29%2C%E5%BD%93%E4%B8%94%E4%BB%85%E5%BD%93a%3Dc%2Cb%3Dd%3B%E8%BF%90%E7%AE%97%22%E2%80%BB%22%E4%B8%BA%3A%28a%2Cb%29%E2%80%BB%28c%2Cd%29%3D%28ac%2Cbd%29%3B%E8%BF%90%E7%AE%97%22%E2%8A%95%22%E4%B8%BA%3A%28a%2Cb%29%E2%8A%95%28c%2Cd%29%3D%28a%2Bc%2Cb%2Bd%29.%E8%AE%BEp%E3%80%81q%E6%BB%A1%E8%B6%B3%281%2C2%29%E2%80%BB%28p%2Cq%29%3D%282%2C-4%29%2C%E5%88%99%281%2C2%29%E2%8A%95%28p%2Cq%29%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
对于任意两个实数对(a,b)和(c,d),规定:(a,b)=(c,d),当且仅当a=c,b=d;运算"※"为:(a,b)※(c,d)=(ac,bd);运算"⊕"为:(a,b)⊕(c,d)=(a+c,b+d).设p、q满足(1,2)※(p,q)=(2,-4),则(1,2)⊕(p,q)等于多少?
对于任意两个实数对(a,b)和(c,d),规定:(a,b)=(c,d),当且仅当a=c,b=d;运算"※"为:(a,b)※(c,d)=(ac,bd);运算"⊕"为:(a,b)⊕(c,d)=(a+c,b+d).设p、q满足(1,2)※(p,q)=(2,-4),则(1,2)⊕(p,q)等于多少?
对于任意两个实数对(a,b)和(c,d),规定:(a,b)=(c,d),当且仅当a=c,b=d;运算"※"为:(a,b)※(c,d)=(ac,bd);运算"⊕"为:(a,b)⊕(c,d)=(a+c,b+d).设p、q满足(1,2)※(p,q)=(2,-4),则(1,2)⊕(p,q)等于多少?
mdx不是很简单 主要是运算的过程较复杂
a+b=-2P c+d=-2q
a*b=3 c*d=3
e+f=2(q^2-p^2)
式子(a-c)(b-c)(a+d)(b+d) 用(a-c)(b+d)结合(b-c)(a+d)结合,再根据a*b=3 c*d=3 可化解为:
-3(a^2+b^2+d^2-c^2)
其中a^2+b^2 根据a+b=-2P a*b=3可求得 d^2-c^2也可以求得
剩余的你自己算算吧!gmd53
j
由(1,2)※(p,q)=(2,-4)得:p=0.5,q=-2,则(1,2)⊕(p,q)=(1,2)⊕(0.5,-2)=(1.5,0)