悠闲数学娱乐论坛(第3版)»论坛 › 数学区 › 初等数学讨论 › 由“等周长点存在条件”引出的不等式

Return to list New

View 147|Reply 1

[不等式] 由“等周长点存在条件”引出的不等式

[Copy link]

3151 Threads	8500 Posts	610K Credits

Credits: 66231

Send PM

hbghlyj Posted at 2023-1-24 19:22:31 |Read mode

Last edited by hbghlyj at 2023-1-24 20:17:00正数$x,y,z$满足$x^{-1/2},y^{-1/2},z^{-1/2}$为边可构成三角形, 求证
\[\frac1{2\sqrt{\frac{x+y+z}{xyz}}-\frac1x-\frac1y-\frac1z}>x\]

Related threads

• 【尺规作图】等周点（isoperimetric point）怎么做出？

Reply Edit

3151 Threads	8500 Posts	610K Credits

Credits: 66231

Send PM

Author| hbghlyj Posted at 2024-11-1 05:57:28

頂一下沉帖

Reply Edit

Return to list New

手机版Mobile version|Leisure Math Forum

2025-4-21 23:50 GMT+8

Powered by Discuz!

× Quick Reply To Top Return to the list