有穷等差数列的各项均为正数,若
,则
的最小值是
22-23高二下·湖南湘潭·期末 查看更多[3]
更新时间:2023-07-25 07:23:54
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【推荐1】记等差数列
和
的前
项和分别为
和
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d73dab898bafa3adea84f50001b3d8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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【推荐2】已知两实数
满足
,若在
之间插入四个实数,使这六个实数构成等差数列,则这个等差数列后三项和的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a143573e9fe53e6a861154bf5b4c27c3.png)
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解题方法
【推荐1】设
.若
是
与
的等比中项,则
的最小值为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27def65b46225ac64b02a19aa5911489.png)
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解题方法
【推荐2】在三角形
中,角
,
,
所对的边分别为
,
,
,
,
的角平分线交
于点
,且
,则
的最小值为________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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