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在经纬网中根据经度计算两点之间的纬线距离:由于纬线长度从赤道向两极递减,所以各纬线上经度相差1°的弧长并不相等。教学中对于纬度计算公式的讲解,教师一般只告诉学生计算公式:赤道上经度相差1°对应的弧长大约为111千米;任意一条纬线(假设此纬线的纬度为α)上经度相差1°对应的弧长大约为111千米×cosα千米。学生学习时只是被动接受,由于对公式的由来不知,一遇到此类题目的计算就感觉特别难,容易出错。
In longitude and latitude webs, the latitude distance between two points is calculated according to the longitude: As the length of latitude decreases from the equator to the poles, the arc lengths differ by 1 ° on each latitude are not equal. In the teaching of latitude calculation formula to explain, the teacher generally only tells the students to calculate the formula: the equatorial longitude difference of 1 ° corresponds to the arc length of about 111 km; any one latitude (assuming the latitude latitude α) longitude difference of 1 ° The corresponding arc length is about 111 km × cos α km. Students learn only passive acceptance, due to the origin of the formula I do not know, encountered in the calculation of such topics feel particularly difficult and prone to error.