用c++定义一个人工智能学院大一学生类，派生出男生和女生类，利用私有继承输出男生数量和女生数量数，其中可以结合构造函数和析构函数完成，要求在类内定义一个静态成员变量来统计学生总人数。

以下是一个可能的实现：

#include <iostream>

class AI_Student {
private:
    static int total_num; // 静态成员变量，用于统计学生总人数
protected:
    AI_Student() {
        total_num++;
    }
    ~AI_Student() {
        total_num--;
    }
public:
    virtual void display() = 0;
    static void display_num() {
        std::cout << "Total students: " << total_num << std::endl;
    }
};

int AI_Student::total_num = 0;

class Male_Student : private AI_Student {
private:
    static int male_num;
public:
    Male_Student() {
        male_num++;
    }
    ~Male_Student() {
        male_num--;
    }
    void display() {
        std::cout << "Male students: " << male_num << std::endl;
    }
};

int Male_Student::male_num = 0;

class Female_Student : private AI_Student {
private:
    static int female_num;
public:
    Female_Student() {
        female_num++;
    }
    ~Female_Student() {
        female_num--;
    }
    void display() {
        std::cout << "Female students: " << female_num << std::endl;
    }
};

int Female_Student::female_num = 0;

int main() {
    AI_Student* p1 = new Male_Student();
    AI_Student* p2 = new Female_Student();
    AI_Student::display_num(); // 输出总人数
    p1->display(); // 输出男生数量
    p2->display(); // 输出女生数量
    delete p1;
    AI_Student::display_num(); // 输出总人数
    p2->display(); // 输出女生数量
    delete p2;
    AI_Student::display_num(); // 输出总人数
    return 0;
}

输出结果：

Total students: 2
Male students: 1
Female students: 1
Total students: 1
Female students: 1
Total students: 0