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数学课上,老师出了一道思考题:如图1,D,E,F分别为AB,AC,BC的中点,四边形GHIB为平行四边形,四边形OEFI的面积为3,四边形GHOD的面积为2,求三角形HOE的面积.经过思考,首先我想到的是用几何方法,但没有找到突破口.后来我选定了解析法,最终解决了这道题.有的同学使用了代数方法通过比例求解,还有同学通过延长做平行四边形的方法,有的同学通过做三角形的高求解,而
In mathematics class, the teacher gave a thought question: As shown in Figure 1, D, E and F are the midpoints of AB, AC and BC respectively. The quadrilateral GHIB is parallelogram, the area of quadrilateral OEFI is 3 and the area of quadrilateral GHOD is 2 , And find the area of the triangle HOE. After thinking, first of all, I think of using the geometric method, but did not find a breakthrough. Later, I chose the analytical method, and ultimately solve this problem .Some students use the algebraic method through the proportion of solution, There are students by extending the method of doing parallelograms, and some students through the triangle to do high solution, and