用c++创建一个矩形类，矩形的边平行于坐标轴。矩形的属性用其左下角坐标、长度和宽度描述。 (1) 从键盘输入两个矩形参数（注意输入提示信息），创建两个矩形对象， 判断两个矩形是否相交？求出相交部分的面积。 (2) 从键盘再输入或随机产生3个矩形对象，对输入的所有5个矩形按面积由小到大排序， 然后依次显示各个矩形的左下角坐标、长、宽、面积。

好的，我可以帮你解决这个问题。以下是 C++ 实现：

#include <iostream>
#include <algorithm>

using namespace std;

class Rectangle {
private:
    double x, y;
    double width, height;

public:
    Rectangle(double x, double y, double w, double h) {
        this->x = x;
        this->y = y;
        this->width = w;
        this->height = h;
    }

    double getX() { return x; }
    double getY() { return y; }
    double getWidth() { return width; }
    double getHeight() { return height; }

    double getArea() { return width * height; }

    bool intersect(Rectangle rect) {
        double x1 = max(x, rect.getX());
        double y1 = max(y, rect.getY());
        double x2 = min(x + width, rect.getX() + rect.getWidth());
        double y2 = min(y + height, rect.getY() + rect.getHeight());
        return (x1 < x2) && (y1 < y2);
    }

    Rectangle getIntersection(Rectangle rect) {
        double x1 = max(x, rect.getX());
        double y1 = max(y, rect.getY());
        double x2 = min(x + width, rect.getX() + rect.getWidth());
        double y2 = min(y + height, rect.getY() + rect.getHeight());
        double intWidth = x2 - x1;
        double intHeight = y2 - y1;
        return Rectangle(x1, y1, intWidth, intHeight);
    }
};

bool compare(Rectangle rect1, Rectangle rect2) {
    return rect1.getArea() < rect2.getArea();
}

int main() {
    double x1, y1, w1, h1;
    double x2, y2, w2, h2;
    cout << "请输入第一个矩形的左下角坐标、长和宽（用空格隔开）：";
    cin >> x1 >> y1 >> w1 >> h1;
    Rectangle rect1(x1, y1, w1, h1);
    cout << "请输入第二个矩形的左下角坐标、长和宽（用空格隔开）：";
    cin >> x2 >> y2 >> w2 >> h2;
    Rectangle rect2(x2, y2, w2, h2);

    if (rect1.intersect(rect2)) {
        Rectangle intersection = rect1.getIntersection(rect2);
        cout << "两个矩形相交，相交部分的面积为：" << intersection.getArea() << endl;
    } else {
        cout << "两个矩形不相交" << endl;
    }

    Rectangle rects[5] = {rect1, rect2};
    for (int i = 2; i < 5; i++) {
        double x, y, w, h;
        cout << "请输入第" << i << "个矩形的左下角坐标、长和宽（用空格隔开）：";
        cin >> x >> y >> w >> h;
        Rectangle rect(x, y, w, h);
        rects[i] = rect;
    }

    sort(rects, rects + 5, compare);

    for (int i = 0; i < 5; i++) {
        Rectangle rect = rects[i];
        cout << "矩形" << i + 1 << "：左下角坐标（" << rect.getX() << ", " << rect.getY() 
             << "），长：" << rect.getWidth() << "，宽：" << rect.getHeight() 
             << "，面积：" << rect.getArea() << endl;
    }

    return 0;
}

运行程序后，输入两个矩形的参数，程序会判断两个矩形是否相交，并计算相交部分的面积。然后再输入或随机生成3个矩形，对5个矩形按面积从小到大排序，并依次显示各个矩形的参数和面积。