相似 (幾何)





Disambig gray.svg  「相似」重定向至此。關於矩陣中的相似關係，詳見「相似矩陣」。


相似三角形


數學上，相似指两个图形的形状完全相同。


嚴格來說，若存在兩個點的集，其中一個能透過放大縮小、平移或旋轉等方式變成另一個，就說它們相似。


兩個圖形相似，可以以一個「～」符號連接它們，例如若三角形ABC和DEF相似便可這樣表示：△ABC∼△DEF{displaystyle triangle ABCsim triangle DEF}triangle ABCsim triangle DEF。


相似的特例是全等。



三角形相似的条件



  • 兩個对应角相等（AA相似）

  • 三個对应边成比例（SSS相似）

  • 兩個对应边成比例且其夾角相等（SAS相似）

  • 平行，则相似（A形、Z形相似）



參見


  • 相似三角形
























































  • 查

  • 论

  • 编



几何学术语

點


  • 頂點

  • 交點

  • 中點

  • 角

直線和曲線


  • 線段

  • 射線

  • 直線

  • 切線

  • 法线

  • 曲線

  • 圓錐曲線

  • 双曲线

  • 抛物线

  • 螺線

  • 邊

  • 周界

  • 弦

  • 弧

  • 垂直平分線

平面圖形


  • 圓

  • 橢圓

  • 扇形

  • 弓形

  • 多邊形

  • 三角形

  • 四邊形

  • 五边形

  • 六边形

  • 多边形

  • 梯形

  • 平行四邊形

  • 菱形

  • 矩形

  • 正方形

  • 鷂形

  • 卵形线
立體圖形


  • 多面體

  • 正多面體

  • 四面体

  • 長方體

  • 立方體

  • 平行六面体

  • 棱柱

  • 反棱柱

  • 棱錐

  • 圓柱體

  • 圓錐

  • 圓台

  • 橢球

  • 球體

  • 球缺

  • 球冠

  • 球台

  • 二次曲面

  • 抛物面

  • 雙曲面
圖形關係


  • 相似

  • 全等

  • 对称

  • 平行

  • 垂直

  • 相交

  • 相切

  • 镜像

  • 旋转

  • 反演

三角形關係


  • 相似三角形

  • 全等三角形
量


  • 距離

  • 長度

  • 周长

  • 弧长

  • 高度

  • 面積

  • 表面積

  • 體積

  • 容積

  • 角度
作圖



  • 尺

    • 直尺

    • 三角尺



  • 圓規

  • 尺規作圖

  • 二刻尺作图
理論


  • 定理

  • 公理

  • 定义

  • 證明



  • 分类分类


  • 主题主题


  • 共享资源页面共享资源


  • 专题专题





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