广西民族师范学院学报
廣西民族師範學院學報
엄서민족사범학원학보
Journal of GuangXi Normal University for Nationalities
2012年
3期
11-14
,共4页
点%平面%距离%法式方程%离差
點%平麵%距離%法式方程%離差
점%평면%거리%법식방정%리차
seven method%reflection%delete advice%French-style equation%deviation
研究“点到平面的距离公式’’的推导方法，得出7种可行的证法，不同的证法证明过程复杂程度不一样，简单的证明方法可绕过“法式方程”、“离差”，“向量运算”，仅用“直线的参数方程”和一些旧识就可证明。这些证法可作为教材编写或教师教学时参考，也可作为培养学生发散思维之用。
研究“點到平麵的距離公式’’的推導方法，得齣7種可行的證法，不同的證法證明過程複雜程度不一樣，簡單的證明方法可繞過“法式方程”、“離差”，“嚮量運算”，僅用“直線的參數方程”和一些舊識就可證明。這些證法可作為教材編寫或教師教學時參攷，也可作為培養學生髮散思維之用。
연구“점도평면적거리공식’’적추도방법，득출7충가행적증법，불동적증법증명과정복잡정도불일양，간단적증명방법가요과“법식방정”、“리차”，“향량운산”，부용“직선적삼수방정”화일사구식취가증명。저사증법가작위교재편사혹교사교학시삼고，야가작위배양학생발산사유지용。
This thesis studies derivation methods of ＂from point to plane＂ and seeks to get the result of seven practicable proofs of it. Even though the ＂French-style equation＂ and ＂the deviation＂ can＇t be applied, the seven derivation methods above can demonstrate the corresponding knowledge just by means of ＂vector and its projection＂ and some used knowledge. These proof methods can be used as textbooks or teaching for reference, at the same time, they can be used to train the thinking flexibility of students.
