斐波那契数列又称黄金分割数列,因数学家列昂纳多•斐波那契以兔子繁殖为例子而引入,故又称为“兔子数列”.斐波那契数列用递推的方式可如下定义:用
表示斐波那契数列的第
项,则数列
满足:
,
,记
,则下列结论正确的是_______________ (写正确结论的序号即可).
①
;
②
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316b5d6779890069e877f081d1833883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328cf8e4759bb78e04aea6f5e3e4ab43.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ef029d76f18f68c46eeb231e161ea43.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a948218c183372e9bae783c90474e9.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32582c0e86ae9fc6157402bc4ba80c5.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdeaefc793783ca27d59909fdf0e7e4.png)
更新时间:2022-09-11 14:11:08
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适中
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解题方法
【推荐1】在数列
中,
,
,
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是递减数列,数列
是递增数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2f03f58e3c85de45bd3fd86a8a66f7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07404ab51f404f9411f79bd4f1fde654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76aa79317075df881a7c437da223f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb40dde3892bc78d3796d37e812a4f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d8994201f8d7c176c2a039dada4fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17afed731b6dd93f9bedd81adfc0fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2f03f58e3c85de45bd3fd86a8a66f7.png)
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填空题-单空题
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适中
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【推荐1】在数列
中,
,
,则
的值为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0a3ded8440e979f7384753ac69cde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa7daf1bf9c86b7e3eb601281efc5b3.png)
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名校
【推荐2】已知数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
_____ ;若数列
的前n项和是
,则
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e472ad6e7bf7a6a409a43d4ea9035e0.png)
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