定比分點 定比分点是解析几何中用于确定有向线段上分点位置的数学概念，其定义为：已知直线l上有两点P1(x1,y1)、P2(x2,y2)，若点P分有向线段P1P2所成的比为λ，则该分点坐标满足x=(x1+λx ...

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22 มิ ย 2561 若 P Q 两点在直线 AB 的同侧 即线段不与直线 AB 相交 点 C 在线段 PQ 上 且 PC lambda PQ 则 定比分點公式 如圖 P Q 在AB 的同側 C 為PQ 上的一點 若PC λP Q 即PC CQ λ 1 λ 則 S4ABC λS4AQB 1 λ S4AP B A B C P Q 證明 1 命S SABQP  x frac x_1 lambda x_2 1 lambda y frac y_1 lambda y_2 1 lambda 这就是定比分点坐标公式 我们称之为定比分点面积公式 在定比分点的公式里  首先说明 在解析几何中 线段AB是有向线段 即 AB Xb Xa 一般我们在学校所学的AB BA 这是A与B的距离 但是在解析几何中 AB表示有向线段AB的数量 A与B的距离表示 AB 或 BA   定比分点是解析几何中用于确定有向线段上分点位置的数学概念 其定义为 已知直线l上有两点P1 x1 y1 P2 x2 y2 若点P分有向线段P1P2所成的比为λ 则该分点坐标满足x x1 λx 

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  • mega3831
    5.0 out of 5 starsVerified Purchase
    定比分点公式及定理
    Reviewed in the Thailand on July 6, 2025
    定比分點公式是平面幾何學的基本公式。 若D點在B點與C點之間，向量AD即可表達成向量AB與向量AC。 當A位於原點，即AD、AB、AC為位置向量，利用公式可由B點、C點得出D點的坐標。
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  • super6234
    1.0 out of 5 starsVerified Purchase
    定比分点的运用①
    Reviewed in the Thailand on July 17, 2025
    定比分點公式是平面幾何學的基本公式。 若D點在B點與C點之間，向量AD即可表達成向量AB與向量AC。 當A位於原點，即AD、AB、AC為位置向量，利用公式可由B點、C點得出D點的坐標。
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  • mega3818
    1.0 out of 5 stars
    定比分點公式| 中文数学Wiki | Fandom
    Reviewed in the Thailand on June 25, 2025
    定比分點公式. 如圖，P、Q 在AB 的同側，C 為PQ 上的一點；. 若PC = λP Q，即PC : CQ = λ : 1 - λ，則. S4ABC = λS4AQB + (1 - λ)S4AP B. A. B. C. P. Q. 證明：. 1. 命S = SABQP ...
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