三角函数：
概念：用来描述三角形中某个角和对应的三条边的比例关系。
正弦：sin<θ>(sin
余弦：cos<θ>(cos
正切：tan<θ>(tan
正弦函数曲线：随着θ角度不断增大，sinθ的值的变化周期
余弦函数曲线：正弦函数曲线左移90度
反三角函数：已知比例关系，反推出角度或者弧度。
反正弦：Arcsin(0.5)=30度
反余弦：Arccos
反正切：Arctan
向量的乘法：
向量的点乘：a(ax,ay,az) · b(bx.by.bz)
数学运算：a·b = axbx + ayby + azbz，各分量分别相乘再相加
1、满足乘法交换律
2、结果是标量
几何意义：
a·b = |a| * |b| * cos
a·b = (|a| * cos
1、a向量在b向量方向上投影的长度再乘以b向量的模长
2、当b向量为单位向量的时候，结果就是：a向量在b向量方向上投影的长度
3、当a向量和b向量都是单位向量的时候，结果就是：两个向量的夹角的余弦
敌人的正前方和敌人与自己连线的夹角，小于90度，在敌人前方，大于90度，在敌人后方
API Vector3.Dot(Vector3 lhs,Vector3 rhs)，两个向量点乘满足乘法交换律，但叉乘不行
API Vector3.Angle，直接计算两个向量之间的夹角
思考题：入射光线和反射光线不在一个水平线上
using System.Collections;using System.Collections.Generic;using UnityEngine;publicclass EnemyLook : MonoBehaviour
{
public Transform player;
publicfloat result;
publicfloat distance;
// Use this for initializationvoid Start()
{
////向量点乘的数学运算//Vector3 enemy2Player = player.position - transform.position;
//Vector3 enemyForward = transform.forward;
//result = enemy2Player.x * enemyForward.x + enemy2Player.y * enemyForward.y + enemy2Player.z + enemyForward.z;
//把向量变成单位向量Vector3 enemy2Player = (player.position - transform.position).normalized;
Vector3 enemyForward = transform.forward;
//计算两个向量之间的夹角result = Vector3.Dot(enemy2Player, enemyForward);
//计算两个物体之间的距离distance = Vector3.Distance(player.position, transform.position);
//API：计算两个向量之间的夹角
//Vector3.Angle(); }
// Update is called once per framevoid Update()
{
}
privatevoid OnGUI()
{
//if (result > 0)
//{
// GUILayout.Label("在敌人前方");
//}
//else
//{
// GUILayout.Label("在敌人后方");
//}if(result > Mathf.Cos(30* Mathf.Deg2Rad) && distance <5)
{
GUILayout.Label("在扇形范围内："+ Mathf.Acos(result) * Mathf.Rad2Deg +"度");
}
else {
GUILayout.Label("不在扇形范围内："+ Mathf.Acos(result) * Mathf.Rad2Deg +"度");
}
}
}
using System.Collections;using System.Collections.Generic;using UnityEngine;publicclass TestTrans : MonoBehaviour {
public Transform Target;
publicfloat distance;
privatefloatSkillDistance =5;//扇形距离privatefloatSkillJiaodu =60;//扇形的角度
// Use this for initializationvoid Start () {
////偶然性编程distance = Vector3.Distance(transform.position, Target.position);//距离Vector3 norVec = transform.rotation * Vector3.forward;
Vector3 temVec = Target.position - transform.position;
Debug.DrawLine(transform.position, norVec, Color.red);//画出技能释放者面对的方向向量Debug.DrawLine(transform.position, Target.position, Color.green);//画出技能释放者与目标点的连线floatjiajiao = Mathf.Acos(Vector3.Dot(norVec.normalized, temVec.normalized)) * Mathf.Rad2Deg;
if(distance <= SkillDistance)
{
if(jiajiao <= SkillJiaodu)
{
Debug.Log("在扇形范围内");
}
else {
Debug.Log("不在扇形范围内");
}
}
}
// Update is called once per framevoid Update () {
}
}
using System.Collections;using System.Collections.Generic;using UnityEngine;publicclass CrystalMove : MonoBehaviour {
//public Transform startTrans;
//public float moveSpeed = 1;
//public float rotSpeed = 1;publicfloatrotateSpeed =30;
//调节上下频率和浮动publicfloatamplitude = 1f;
publicfloatfrequency = 1f;
// Use this for initializationvoid Start () {
}
// Update is called once per framevoid Update () {
// transform.Rotate(Vector3.up, Space.World);
// Vector3 delta = Vector3.up * Mathf.Sin(Time.time) * moveSpeed*0.25F;
// transform.position = startTrans.position + delta;transform.Rotate(Vector3.up * Time.deltaTime * rotateSpeed);
floatsin = Mathf.Sin(Time.time * frequency) * amplitude;
transform.Translate(Vector3.up * sin, Space.World);
}
}