有關圓錐曲線內三角形面積的研究

陳喬依

摘 要 筆者在閱讀中發現，中學圓錐曲線中常常愿意以面積為導向，考查圓錐曲線中弧長公式與點的距離公式的應用。在答案的解答過程中，常常出現大量的運算。為此筆者對此問題進行了思考，并對解法進行了優化。同時還討論了一些有關面積的問題，以得到命題的新思路。

關鍵詞 圓錐曲線 弧長公式 高中數學

中圖分類號：G633.63 文獻標識碼：A DOI：10.16400/j.cnki.kjdkz.2016.03.021

Study about Area of Triangle in Conic

CHEN Qiaoyi

（Liaoning Province Shiyan High School， Shenyang， Liaoning 110034）

Abstract The author found in reading， conic secondary schools are often willing to area-oriented， examine the application from the formula in the formula of length and conic points. In the course of answers in the answer， there are often a large number of operations. Therefore， the author carried out thinking on this issue， and the solution is optimized. It also discussed a number of issues related to the area， to give new ideas propositions.

Key words conic； Arc length formula； high school mathematics