C++ 判断圆是否在矩形内 - 详细解析与代码实现

'C++ \u5224\u65ad\u5706\u662f\u5426\u5728\u77e9\u5f62\u5185 - \u8be6\u7ec6\u89e3\u6790\u548c\u4ee3\u7801\u5b9e\u73b0'\n\n\u672c\u7bc7\u6587\u7ae0\u8be6\u7ec6\u89e3\u6790\u4e86C++\u4e2d\u5224\u65ad\u5706\u662f\u5426\u5728\u77e9\u5f62\u5185\u7684\u7b97\u6cd5\u601d\u8def\uff0c\u5e76\u63d0\u4f9b\u4e86\u660e\u786e\u5bb9\u6613\u7406\u89e3\u7684\u4ee3\u7801\u5b9e\u73b0\u3002\u901a\u8fc7\u5206\u6790\u4e0d\u540c\u60c5\u51b5\u4e0b\u7684\u5706\u5fc3\u4f4d\u7f6e\u548c\u534a\u5f84\u5927\u5c0f\uff0c\u5e76\u7ed3\u5408\u4ee3\u7801\u793a\u4f8b\uff0c\u5e2e\u52a9\u8bfb\u8005\u6df1\u5165\u7406\u89e3\u8be5\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6cd5\u3002\n\n'\u89e3\u9898\u601d\u8def'\n\n\u6839\u636e\u9898\u76ee\u8981\u6c42\uff0c\u5224\u65ad\u5706\u662f\u5426\u5168\u90e8\u5728\u77e9\u5f62\u5185\uff0c\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u51e0\u79cd\u60c5\u51b5\uff1a\n1. \u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u534a\u5f84\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\u3002\n2. \u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u534a\u5f84\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\uff0c\u4f46\u662f\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\u3002\n3. \u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u534a\u5f84\u5927\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\uff0c\u4f46\u662f\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\u3002\n4. \u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u534a\u5f84\u5927\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\uff0c\u4f46\u662f\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u4e0d\u76f8\u4ea4\u3002\n5. \u5706\u5fc3\u5728\u77e9\u5f62\u5916\u90e8\uff0c\u4f46\u662f\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\u3002\n6. \u5706\u5fc3\u5728\u77e9\u5f62\u5916\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u4e0d\u76f8\u4ea4\u3002\n\n\u6839\u636e\u4ee5\u4e0a\u5206\u6790\uff0c\u53ef\u4ee5\u5f97\u5230\u4ee5\u4e0b\u89e3\u9898\u601d\u8def\uff1a\n1. \u5224\u65ad\u5706\u5fc3\u662f\u5426\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5982\u679c\u4e0d\u5728\u5219\u76f4\u63a5\u8f93\u51fa'No'\u3002\n2. \u5224\u65ad\u5706\u7684\u534a\u5f84\u662f\u5426\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\uff0c\u5982\u679c\u662f\u5219\u8f93\u51fa'Yes'\u3002\n3. \u5224\u65ad\u5706\u7684\u8fb9\u754c\u662f\u5426\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\uff0c\u5982\u679c\u662f\u5219\u8f93\u51fa'Yes'\uff0c\u5426\u5219\u8f93\u51fa'No'\u3002\n\n'\u5177\u4f53\u5b9e\u73b0'\n\n1. \u8bfb\u53d6\u8f93\u5165\u6570\u636e\u3002\n2. \u5224\u65ad\u5706\u5fc3\u662f\u5426\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5982\u679c\u5706\u5fc3\u7684\u6a2a\u5750\u5ea7\u5927\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5de6\u4e0a\u9876\u70b9\u7684\u6a2a\u5750\u5ea7\uff0c\u5e76\u4e14\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u53f3\u4e0a\u9876\u70b9\u7684\u6a2a\u5750\u5ea7\uff0c\u5706\u5fc3\u7684\u7eac\u5750\u5ea7\u5927\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5de6\u4e0a\u9876\u70b9\u7684\u7eac\u5750\u5ea7\uff0c\u5e76\u4e14\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u53f3\u4e0a\u9876\u70b9\u7684\u7eac\u5750\u5ea7\uff0c\u5219\u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\u3002\n3. \u5982\u679c\u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5219\u5224\u65ad\u5706\u7684\u534a\u5f84\u662f\u5426\u5c0f\u4e8e\u7b49\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\u3002\n4. \u5982\u679c\u5706\u5fc3\u5728\u77e9\u5f62\u5185\u90e8\uff0c\u5e76\u4e14\u5706\u7684\u534a\u5f84\u5927\u4e8e\u77e9\u5f62\u7684\u5e45\u5ea6\u548c\u9ad8\u5ea6\u7684\u4e00\u534a\uff0c\u5219\u5224\u65ad\u5706\u7684\u8fb9\u754c\u662f\u5426\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\u3002\n5. \u5982\u679c\u5706\u7684\u8fb9\u754c\u4e0e\u77e9\u5f62\u7684\u8fb9\u754c\u76f8\u4ea4\uff0c\u5219\u8f93\u51fa'Yes'\uff0c\u5426\u5219\u8f93\u51fa'No'\u3002\n\n'\u4ee3\u7801\u5b9e\u73b0'\n\n```cpp#include using namespace std;

int main() { int W, H, x, y, r; cin >> W >> H >> x >> y >> r;

// 判断圆心是否在矩形内部    if (x >= 0 && x <= W && y >= 0 && y <= H) {        // 圆心在矩形内部        // 判断圆的半径是否小于等于矩形的宽度和高度的一半        if (r <= W/2 && r <= H/2) {            cout << 'Yes' << endl;        } else {            // 判断圆的边界是否与矩形的边界相交            if ((x-r <= 0 || x+r >= W) && (y-r <= 0 || y+r >= H)) {                cout << 'Yes' << endl;            } else {                cout << 'No' << endl;            }        }    } else {        // 圆心在矩形外部        // 判断圆的边界是否与矩形的边界相交        if ((x-r <= 0 || x+r >= W) && (y-r <= 0 || y+r >= H)) {            cout << 'Yes' << endl;        } else {            cout << 'No' << endl;        }    }

return 0