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49 lines
1.2 KiB
Markdown
49 lines
1.2 KiB
Markdown
# [1037. Valid Boomerang](https://leetcode.com/problems/valid-boomerang/)
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## 题目
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A *boomerang* is a set of 3 points that are all distinct and **not** in a straight line.
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Given a list of three points in the plane, return whether these points are a boomerang.
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**Example 1**:
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```
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Input: [[1,1],[2,3],[3,2]]
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Output: true
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```
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**Example 2**:
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```
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Input: [[1,1],[2,2],[3,3]]
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Output: false
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```
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**Note**:
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1. `points.length == 3`
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2. `points[i].length == 2`
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3. `0 <= points[i][j] <= 100`
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## 题目大意
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回旋镖定义为一组三个点，这些点各不相同且不在一条直线上。给出平面上三个点组成的列表，判断这些点是否可以构成回旋镖。
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## 解题思路
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- 判断给出的 3 组点能否满足回旋镖。
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- 简单题。判断 3 个点组成的 2 条直线的斜率是否相等。由于斜率的计算是除法，还可能遇到分母为 0 的情况，那么可以转换成乘法，交叉相乘再判断是否相等，就可以省去判断分母为 0 的情况了，代码也简洁成一行了。
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## 代码
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```go
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package leetcode
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func isBoomerang(points [][]int) bool {
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return (points[0][0]-points[1][0])*(points[0][1]-points[2][1]) != (points[0][0]-points[2][0])*(points[0][1]-points[1][1])
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}
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``` |