不知道谁转的计算几何题集里面有这个题...标题还写的是基本线段求交... 结果题都没看就直接敲了个线段交...各种姿势WA一遍以后发现题意根本不是线段交而是直线交...白改了那个模板... 乱发文的同学真是该死...浪费我几个小时的生命... /********************* Template ************************/ #include <set> #include <map> #include <list> #include &l…

题意:    判断直线间位置关系: 相交,平行,重合 include <iostream> #include <cstdio> using namespace std; struct Point { int x , y; Point(, ) :x(a), y(b) {} }; struct Line { Point s, e; int a, b, c;//a>=0 Line() {} Line(Point s1,Point e1) : s(s1), e(e1) {} void…

Intersecting Lines Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 8637   Accepted: 3915 Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three…

题目传送门:POJ 1269 Intersecting Lines Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection because they are parallel, 2) intersect in…

题目链接:POJ 1269 Problem Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection because they are parallel, 2) intersect in a line becau…

两条直线可能有三种关系:1.共线     2.平行(不包括共线)    3.相交. 那给定两条直线怎么判断他们的位置关系呢.还是用到向量的叉积 例题:POJ 1269 题意:这道题是给定四个点p1, p2, p3, p4,直线L1,L2分别穿过前两个和后两个点.来判断直线L1和L2的关系 这三种关系一个一个来看: 1. 共线. 如果两条直线共线的话,那么另外一条直线上的点一定在这一条直线上.所以p3在p1p2上,所以用get_direction(p1, p2, p3)来判断p3相对于p1p2的关…

题目:http://poj.org/problem?id=1269 相关知识: 叉积求面积:https://www.cnblogs.com/xiexinxinlove/p/3708147.html什么是叉积:https://blog.csdn.net/sunbobosun56801/article/details/78980467        其二维:https://blog.csdn.net/qq_38182397/article/details/80508303计算交点:    方法1:面…

题意:给两条直线,判断相交,重合或者平行 思路:判断重合可以用叉积,平行用斜率,其他情况即为相交. 求交点: 这里也用到叉积的原理.假设交点为p0(x0,y0).则有: (p1-p0)X(p2-p0)=0 (p3-p0)X(p2-p0)=0 展开后即是 (y1-y2)x0+(x2-x1)y0+x1y2-x2y1=0 (y3-y4)x0+(x4-x3)y0+x3y4-x4y3=0 将x0,y0作为变量求解二元一次方程组. 假设有二元一次方程组 a1x+b1y+c1=0; a2x+b2y+c2=0…

题目传送门 题意:判断两条直线的位置关系,共线或平行或相交 分析:先判断平行还是共线,最后就是相交.平行用叉积判断向量,共线的话也用叉积判断点,相交求交点 /************************************************ * Author :Running_Time * Created Time :2015/10/24 星期六 09:08:55 * File Name :POJ_1269.cpp *********************************…

Intersecting Lines Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 8342   Accepted: 3789 Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three…

Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection because they are parallel, 2) intersect in a line because they are on top of…

题目链接:http://poj.org/problem?id=1269 Time Limit: 1000MS Memory Limit: 10000K Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection b…

题目链接:http://poj.org/problem?id=1269 题目大意:给出四个点的坐标x1,y1,x2,y2,x3,y3,x4,y4,前两个形成一条直线,后两个坐标形成一条直线.然后问你是否平行,重叠或者相交,如果相交,求出交点坐标. 算法:二维几何直线相交+叉积 解法:先用叉积判断是否相交,如果相交的话,设交点坐标为p0(x0,y0).向量(p0p1)和(p0p2)的叉积为0,有(x1-x0)*(y2-y0)-(y1-y0)*(x2-x0)=0;同理,求出p0和p3p4直线的式子.…

题链: http://poj.org/problem?id=1269 题解: 计算几何,直线交点 模板题,试了一下直线的向量参数方程求交点的方法. (方法详见<算法竞赛入门经典——训练指南>P257) 代码: #include<cstdio> #include<cstring> #include<iostream> using namespace std; struct Point{ double x,y; Point(double _x=0,double…

id=1269" rel="nofollow">Intersecting Lines 大意:给你两条直线的坐标,推断两条直线是否共线.平行.相交.若相交.求出交点. 思路:线段相交推断.求交点的水题.没什么好说的. struct Point{ double x, y; } ; struct Line{ Point a, b; } A, B; double xmult(Point p1, Point p2, Point p) { return (p1.x-p.x)*(p2…

题意: 二维平面,给两条线段,判断形成的直线是否重合,或是相交于一点,或是不相交. 解法: 简单几何. 重合: 叉积为0,且一条线段的一个端点到另一条直线的距离为0 不相交: 不满足重合的情况下叉积为0 相交于一点: 直线相交的模板 代码: #include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <cmath> #include &l…

题目链接 题意 : 给你两条线段的起点和终点,一共四个点,让你求交点坐标,如果这四个点是共线的,输出“LINE”,如果是平行的就输出“NONE”. 思路 : 照着ZN留下的模板果然好用,直接套上模板了事儿,不过在判断是否共线的时候,其实还有另一种方法,直接将平行和共线一起判断了,我是判断三个点三个点的判断是否是共线. #include <stdio.h> #include <string.h> #include <iostream> using namespace st…

Intersecting Lines Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 12421   Accepted: 5548 Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three…

题意:给定4个点的坐标,前2个点是一条线,后2个点是另一条线,求这两条线的关系,如果相交,就输出交点. 题解:先判断是否共线,我用的是叉积的性质,用了2遍就可以判断4个点是否共线了,在用斜率判断是否平行,最后就是相交了,求交点就好了. 求交点的过程和高中知识差不多,用y=kx+c来求,只不过要注意斜率不存在的时候特殊处理,还有就是求斜率的时候一定要强制转换,(坑爹的我,调试了一小时才找到这个bug) AC代码: #include <map> #include <set> #incl…

用的是初中学的方法 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #include <cmath> #define eps 1e-8 using namespace std; struct Point { double x,y; Point() {}; Point(double xx,double yy) { x=xx; y=yy; }…

http://poj.org/problem?id=1269 我会说这种水题我手推公式+码代码用了1.5h? 还好新的一年里1A了---- #include <cstdio> #include <cstring> #include <cmath> #include <string> #include <iostream> #include <algorithm> #include <queue> #include <…

题目: Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection because they are parallel, 2) intersect in a line because they are on top…

rt,计算几何入门: TOYS Calculate the number of toys that land in each bin of a partitioned toy box. Mom and dad have a problem - their child John never puts his toys away when he is finished playing with them. They gave John a rectangular box to put his toy…

#include <iostream> #include <math.h> #include <iomanip> #define eps 1e-8 #define zero(x) (((x)>0?(x):-(x))<eps) #define pi acos(-1.0) struct point { double x, y; }; struct line { point a, b; }; struct point3 { double x, y, z; }; s…

Intersecting Lines Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 13481   Accepted: 5997 Description We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three…

水题,以前总结的模板还是很好用的. #include <cstdio> #include <cmath> using namespace std; ; int dcmp(double x) { ; ? - : ; } struct Point { double x, y; Point(, ):x(x), y(y) {} }; typedef Point Vector; Point read_point() { double x, y; scanf("%lf%lf"…

分析:有三种关系,共线,平行,还有相交,共线和平行都可以使用叉积来进行判断(其实和斜率一样),相交需要解方程....在纸上比划比划就出来了....   代码如下: ====================================================================================================================================== #include<math.h> #include<alg…

Problem Intersecting Lines (POJ 1269) 题目大意 给定两条直线,问两条直线是否重合,是否平行,或求出交点. 解题分析 主要用叉积做,可以避免斜率被0除的情况. 求交点P0: 已知P1 P2 P3 P4 运用 P0P1 X P0P2 = 0 和 P0P3 X P0P4 = 0 C++ 用%.2lf g++ 用 %.2f!!! C++ 用%.2lf g++ 用 %.2f!!! C++ 用%.2lf g++ 用 %.2f!!! 参考程序 #include <cstd…

POJ原题 ZOJ原题 多组数据.每次给出四个点,前两个点确定一条直线,后两个点确定一条直线,若平行则输出"NONE",重合输出"LINE",相交输出"POINT"+交点坐标(保留两位小数) 先判重合:两条线重合意味着四点共线,即ABC共线且ABD共线(共线即为叉积=0) 再判平行:正常的数学方法,\(\overrightarrow{AB}\) // \(\overrightarrow{CD}\) 求交点: //这个公式很好用,背下来好伐 #in…

题目大意:给出两条直线,每个直线上的两点,求这两条直线的位置关系:共线,平行,或相交,相交输出交点. 题目思路:主要在于求交点 F0(X)=a0x+b0y+c0==0; F1(X)=a1x+b1y+c1==0; 设点(x0,y0)(x1,y1)过直线 解方程:a=y1-y0,b=x0-x1,c=x1y0-x0y1: 联立方程: X=(b0c1-b1c0)/d; Y=(a0c1-a1c0)/d; d=a0b1-a1b0; #include<iostream> #include<algori…