[几何] 三角形k比分线之和与周长的比的取值范围

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hbghlyj posted 2019-7-29 16:51 |Read mode

Last edited by hbghlyj 2025-3-21 23:02给定实数k，点$A_1,B_1,C_1$为周长为1的$\triangle ABC$边AB,BC,CA上的点,$BA_1:A_1C=CB_1:B_1A=AC_1:C_1B=k$，求$u=AA_1+BB_1+CC_1$的取值范围
例如k=1时u的取值范围为$(\frac12,1)$.

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[几何] 三角形k比分线之和与周长的比的取值范围

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