【模拟演练】
1.(2012·聊城模拟)已知平面内任一点O满足 =x +y (x,y∈R),则“x+y=1”是“点P在直线AB上”的_______条件.
2.(2011·东台模拟)设O是△ABC内部一点,且 + =-2,则△AOB与△AOC的面积之比为_______.
3.(2012·广州模拟)在△ABC中,点P在BC上,且 =2,点Q是AC的中点,若 =(4,3), =(1,5),则 =_____.
4.(2012·盐城模拟)P={a|a=(-1,1)+m(1,2),m∈R},Q={b|b=(1,-2)+n(2,3),n∈R}是两个向量集合,则P∩Q=_______.