利用“几何画板”探究“定弦对定角”的顶点轨迹

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1试题呈现在矩形ABCD中,BC=a,AB=b,点P是矩形ABCD四条边上的一个动点,且满足∠BPC=60°,(1)若满足条件的点P有4个,则a与b满足什么关系?(2)若满足条件的点P有3个,则a与b满足什么关系?(3)若满足条件的点P有2个,则a与b满足什么关系?2思路点拨题中a与b都是变化的量,要求a与b满足的关系,通常先固定一个量,比如b或a,让另一个量变化。 1 questions are presented in the rectangle ABCD, BC = a, AB = b, the point P is a moving point on the four sides of the rectangle ABCD and satisfies ∠BPC = 60 °, (1) If there are 4 points P that meet the conditions, What does a and b satisfy? (2) If there are 3 points P that satisfy the condition, what is the relationship between a and b? (3) If there are 2 points P that satisfy the condition, what are the relations between a and b? 2 Ideas Dialogues a and b are the amount of change, requiring a and b to meet the relationship, usually a fixed amount, such as b or a, so that the other changes.
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