一道几何难题(求其简洁证明)如图,在△ABC中,令∠A=α,∠B=β,∠C=γ且α>β,AD,BE,CF是它的三条垂线,AP,BQ是两条角平分线,I,O分别是它的内心和外心.证明:点D,I,E共线当且仅当P,O,Q共线,当且仅当O,I
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/18 02:40:17
![一道几何难题(求其简洁证明)如图,在△ABC中,令∠A=α,∠B=β,∠C=γ且α>β,AD,BE,CF是它的三条垂线,AP,BQ是两条角平分线,I,O分别是它的内心和外心.证明:点D,I,E共线当且仅当P,O,Q共线,当且仅当O,I](/uploads/image/z/13947442-34-2.jpg?t=%E4%B8%80%E9%81%93%E5%87%A0%E4%BD%95%E9%9A%BE%E9%A2%98%EF%BC%88%E6%B1%82%E5%85%B6%E7%AE%80%E6%B4%81%E8%AF%81%E6%98%8E%EF%BC%89%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABC%E4%B8%AD%2C%E4%BB%A4%E2%88%A0A%3D%CE%B1%2C%E2%88%A0B%3D%CE%B2%2C%E2%88%A0C%3D%CE%B3%E4%B8%94%CE%B1%3E%CE%B2%2CAD%2CBE%2CCF%E6%98%AF%E5%AE%83%E7%9A%84%E4%B8%89%E6%9D%A1%E5%9E%82%E7%BA%BF%2CAP%2CBQ%E6%98%AF%E4%B8%A4%E6%9D%A1%E8%A7%92%E5%B9%B3%E5%88%86%E7%BA%BF%2CI%2CO%E5%88%86%E5%88%AB%E6%98%AF%E5%AE%83%E7%9A%84%E5%86%85%E5%BF%83%E5%92%8C%E5%A4%96%E5%BF%83.%E8%AF%81%E6%98%8E%EF%BC%9A%E7%82%B9D%2CI%2CE%E5%85%B1%E7%BA%BF%E5%BD%93%E4%B8%94%E4%BB%85%E5%BD%93P%2CO%2CQ%E5%85%B1%E7%BA%BF%2C%E5%BD%93%E4%B8%94%E4%BB%85%E5%BD%93O%2CI)
xT_SW*3. &3yZ(/e Mb3}Z0(Dh,Q~?DrW蹻>s{wY_z0EWýh沠5s8v5βn沈n!ҨWTx_7iX_uݜ}`>C3X#Uk0w@F :8Mi
=ypIWx`0\gq 'q%dG<a#>q}_Ӏ~dMr/Ʉ'?,~ɉ̢L,-eHTdFJ=eK$cB558C3v;I>ynbbY#ɒ舋Nv"78-q#9