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20 0 0年高考第 2 2题是一道平面解析几何题 :如图 1,已知梯形ＡＢＣＤ中 ,|ＡＢ|=2 |ＣＤ|,点Ｅ分有向线段ＡＣ所成的比为λ ,双曲线过Ｃ、Ｄ、Ｅ三点 ,且以Ａ、Ｂ为焦点 .当 23 ≤λ≤34 时 ,求双曲线离心率ｅ的取值范围 .这里介绍用《几何画板》来探究这道题的过程 ,并谈一
The 20th college entrance examination question 22 is a plane analytical geometry problem: as shown in Fig. 1, the known trapezoid ABCD, |AB|=2 |CD|, has the ratio of point E divided by the line segment AC to λ, double The curve passes C, D, and E at three points, and A and B are the focal points. When 23 ≤ λ ≤ 34, the value range of the eccentricity e of the hyperbola is obtained. This paper introduces the use of Geometry Sketchpad to explore this topic. Process and talk about