G - Preparing for Exams
题目链接:
https://vjudge.net/contest/251958#problem/G
具体思路:
圆内四边形内角互补,所以,如图所示。
证明,三角形oda和三角形obc相似。
第一步,角o都相等
第二步,证明角oda等于角obc。(角oda+角adc=180.角adc+角abc等于180(圆的性质,对顶角相加等于180,),所以,得证),
代码链接:
#include<iostream>
#include<string>
#include<cstring>
#include<iomanip>
#include<queue>
#include<stack>
#include<map>
#include<vector>
#include<algorithm>
#include<stdio.h>
#include<cmath>
using namespace std;
# define maxn 700000+10
# define ll long long
# define inf 0x3f3f3f3f
char s[maxn];
int main()
{
int T;
scanf("%d",&T);
while(T--)
{
double a,b,c,d;
scanf("%lf%lf%lf%lf",&a,&b,&c,&d);
double temp=sqrt(c)/sqrt(d);
double x=(b-a*temp)/temp;
double y=(a-b*temp)/temp;
printf("%lf %lf\n",y,x);
}
return 0;
}
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