a=2010,b=2011,c=2012,求a∧2+b∧2+c∧2-ab-ac-bc,
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 18:33:45
![a=2010,b=2011,c=2012,求a∧2+b∧2+c∧2-ab-ac-bc,](/uploads/image/z/1647524-20-4.jpg?t=a%3D2010%2Cb%3D2011%2Cc%3D2012%2C%E6%B1%82a%E2%88%A72%2Bb%E2%88%A72%2Bc%E2%88%A72-ab-ac-bc%2C)
x10EDicڋTd{G܀0s%Qǩ`O~K*s8u}Si/COFl'ʪ:&K},
444
vgzcDPрnqss3m>|ϬM#lj.!)\
a=2010,b=2011,c=2012,求a∧2+b∧2+c∧2-ab-ac-bc,
a=2010,b=2011,c=2012,求a∧2+b∧2+c∧2-ab-ac-bc,
a=2010,b=2011,c=2012,求a∧2+b∧2+c∧2-ab-ac-bc,
a∧2+b∧2+c∧2-ab-ac-bc,
=1/2[(a-b)^2+(a-c)^2+(b-c)^2]
=1/2(1+4+1)
=3
=(2a∧2+2b∧2+2c∧2-2ab-2ac-2bc)*(1/2)
=[a^2+b^2-2ab)+(a^+c^2-2ac)+(b^2+c^2-2bc)]*(1/2)
=[a-b)^2+(a-c)^2+(b-c)^2]*(1/2)
=(1+4+1)/2=3