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在新课程中把参数方程作为选修内容供学生学习,我觉得是很有必要的,因为参数方程在解决某些圆锥曲线问题时起着很重要的作用,为我们多了一条思路和多了一个行之有效的方法.下面通过几个实例来说明其在解题中的应用.一、用参数方程解决某些等值问题.例1如图1,已知AB、CD是抛物线y~=2Px(p>O)的两条相交于点P的弦,AB、CD与x轴的夹角分别为∠1,∠2,且∠1=∠2.求证:|PA|·|PB|=|PC|·|PD|.
I think it is necessary to take the parametric equation as an optional part of the new course for students to learn. The parametric equation plays an important role in solving some of the conic problems and gives us one more thought and more An effective way to illustrate the following examples to illustrate its application in solving problems. First, the use of parametric equations to solve some of the equivalent problems. Example 1 Figure 1, known AB, CD is a parabola y ~ = 2Px (p> 0) intersects the point P of the string, AB, CD and the x-axis angle is ∠1, ∠2, and ∠1 = ∠2. Prove: | PA | · | PB | = | PC | · | PD |.