一道数学题 急!! thanks!~
a+(1/b)=1
b+(1/2c)=1
求c+(1/2a)
答案+过程!thanks!~
参考答案:由a+(1/b)=1得a=1-1/b
由b+(1/2c)=1 得c=1/2(1-b)
则c+(1/2a)
=1/2(1-b)+1/2(1-1/b)
=1/2(1-b)+b/2(b-1)
=1/2(1-b)-b/2(1-b)
=(1-b)/2(1-b)
=1/2
a+(1/b)=1
b+(1/2c)=1
求c+(1/2a)
答案+过程!thanks!~
参考答案:由a+(1/b)=1得a=1-1/b
由b+(1/2c)=1 得c=1/2(1-b)
则c+(1/2a)
=1/2(1-b)+1/2(1-1/b)
=1/2(1-b)+b/2(b-1)
=1/2(1-b)-b/2(1-b)
=(1-b)/2(1-b)
=1/2