Penchick Online Mathematical Olympiad, Qualifying Test 1, III.4
原题链接:https://artofproblemsolving.com/community/c4h3687790_1st_penchick_online_mathematical_olympiad_qualifying_test_1_iii4
解答:
令 ,
. (统一分母)
整理得:代入原式
均值不等式(AM-GM)得到最小 , 答案为
.
原题链接:https://artofproblemsolving.com/community/c4h3687790_1st_penchick_online_mathematical_olympiad_qualifying_test_1_iii4
解答:
令 ,
. (统一分母)
整理得:代入原式
均值不等式(AM-GM)得到最小 , 答案为
.