Select DataGridView

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;

namespace WindowsFormsApp2
{
    public partial class Form2 : Form
    {
        public Form2()
        {
            InitializeComponent();
        }

        private void Form2_Load(object sender, EventArgs e)
        {
            List<Student> students = new List<Student>();
            Student hat = new Student("Hathaway");
            Student peter = new Student("Peter");
            Student dell = new Student("Dell");
            Student anne = new Student("Anne");
            students.Add(hat);
            students.Add(peter);
            students.Add(dell);
            students.Add(anne);
            this.dataGridView1.DataSource = students;
            for (int i = 0; i < this.dataGridView1.RowCount; i++)
            {
                this.dataGridView1.Rows[i].Cells[0].Value = "true";//如果为true则为选中,false未选中
            }
        }

        private void dataGridView1_CellContentClick(object sender, DataGridViewCellEventArgs e)
        {
            try
            {
                int index = dataGridView1.CurrentRow.Index;
                if(e.RowIndex==-1)
                {
                    dataGridView1_CellClick(sender, e);
                    return;
                }
                this.dataGridView1.Rows[e.RowIndex].Selected = true;
                if (Convert.ToBoolean(dataGridView1.Rows[index].Cells[0].Value))
                {
                    dataGridView1.Rows[index].Cells[0].Value = false;
                }
                else
                {
                    dataGridView1.Rows[index].Cells[0].Value = true;
                    ////其他的都是false
                    //for (int i = 0; i < dataGridView1.Rows.Count - 1; i++)
                    //{
                    //    if (i != index)
                    //    {
                    //        dataGridView1.Rows[i].Cells[0].Value = false;
                    //    }
                    //}
                }
            }
            catch
            {

            }
            
        }

        private void dataGridView1_ColumnHeaderMouseClick(object sender, DataGridViewCellMouseEventArgs e)
        {

        }
  bool checkeding = false;
        private void dataGridView1_CellClick(object sender, DataGridViewCellEventArgs e)
        {
          
            if (e.RowIndex == -1 &&!checkeding)//如果单击列表头，全选．
            {
                int i;
                for (i = 0; i < this.dataGridView1.RowCount; i++)
                {
                    this.dataGridView1.Rows[i].Cells[0].Value = "true";//如果为true则为选中,false未选中
                }
                checkeding = true;
            }
            else if (e.RowIndex == -1 && checkeding)//如果单击列表头，全选．
            {
                int i;
                for (i = 0; i < this.dataGridView1.RowCount; i++)
                {
                    this.dataGridView1.Rows[i].Cells[0].Value = "false";//如果为true则为选中,false未选中
                }
                checkeding = false;
            }
        }
    }

    internal class Student
    {
        public Student(string name)
        {
            Name = name;
        }
        public string Name
        {
            get;
            set;
        }

    }
}