\s\up6(→(→)=\s\up6(→(→)+\s\up6(→(→)
=\s\up6(→(→)+(\s\up6(→(→)+\s\up6(→(→))
=\s\up6(→(→)+\s\up6(→(→)+\s\up6(→(→)
=\s\up6(→(→)+(\s\up6(→(→)-\s\up6(→(→))+\s\up6(→(→)
=\s\up6(→(→)+\s\up6(→(→)+\s\up6(→(→)
=(a+b+c).
\s\up6(→(→)=\s\up6(→(→)+\s\up6(→(→)
=\s\up6(→(→)+(\s\up6(→(→)+\s\up6(→(→))
=\s\up6(→(→)+(\s\up6(→(→)+\s\up6(→(→))
=a+b+c.
[变条件]若把本例中的"\s\up6(→(→)=a"改为"\s\up6(→(→)=a",其他条件不变,则结果是什么?
解:因为M为BC′的中点,N为B′C′的中点,
所以\s\up6(→(→)=(\s\up6(→(→)+\s\up6(→(→))
=a+b.
\s\up6(→(→)=(\s\up6(→(→)+\s\up6(→(→))
=(\s\up6(→(→)+\s\up6(→(→)+\s\up6(→(→))
=\s\up6(→(→)+\s\up6(→(→)+\s\up6(→(→)
=\s\up6(→(→)+(\s\up6(→(→)-\s\up6(→(→))+\s\up6(→(→)
=\s\up6(→(→)+\s\up6(→(→)-\s\up6(→(→)
=b+a-c.