常用于函数图形内求距离、再而通过距离来求点的坐标的应用题。
已知A、B两点的坐标分别是A(x1,y1),B(x2,y2)文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
两点间距离AB的平方为文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
AB²=(x1-x2)²+(y1-y2)²文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
算出后开方得到距离AB。文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
例如:已知A、B两点的坐标分别是A(1,2),B(4,6)文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
AB²=(1-4)²+(2-6)²=25文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
AB=√25=5文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
也可以直接计算:文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
AB=√[(1-4)²+(2-6)²]=√25=5文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html
文章源自公式库网-https://www.gongshiku.com/html/201909/liangdianjianjulijisuanqi.html