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新人教必修4第二章平面向量:已知A、B是直线L上任意两点,O是L外一点,则对直线L上任意一点P,存在实数t,使O→P关于基底{O→A,O→B}的分解式为O→P=(1-t)O→A+tOB→,此向量等式叫做直线L的向量参数方程式,其中实数t叫做参数,并且满足A→P=tAB→.若点P是平面内任意一点,向量O→P关于基底{O→A,O→B}的分解式为O→P=→λOA+B→μO,当λ+μ=1时,点P在直线L上,当λ+μ≠1时,点P在哪?就这个问题做一下探讨,供参考.
The new teaching compulsory 4 Chapter 2 plane vector: known A, B is any two points on the straight line L, O is a point outside L, then any point P on the straight line L, there is a real number t, O → P on the substrate {O → A, O → B} is O → P = (1-t) O → A + tOB →. This vector equation is called a vector parameter equation of a straight line L, where the real number t is called a parameter and satisfies A → P = tAB → If the point P is any point in the plane, the decomposition of the vector O → P with respect to the substrate {O → A, O → B} is O → P = → λOA + B → μO, and when λ + μ = 1 , The point P in the straight line L, when λ + μ ≠ 1, where is the point P? To explore this issue for reference.