已知各项均为正数且单调递减的等比数列
满足
,
,
成等差数列,其前n项和为
,且
,则通项![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fb3dd5b3c0d098ad8cce5de1e604f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8afb5276cccd088ed7cada99858bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca2bc66177a1479e24eeaa63b18ba5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
22-23高三上·河南洛阳·阶段练习 查看更多[2]
更新时间:2022-11-23 09:39:35
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解题方法
【推荐1】已知公比为
的等比数列
的前
项和为
,
,
,
成等差数列,则
的值为___________ ;设
是
与
的等差中项,则
的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c21eba56b938906a1f14e69ef3f7ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】已知
、
、
成等差数列,
、
、
成等比数列,且
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce0209e67e902bcffaac0084615f6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】数列
为公比
的等比数列,若
和
是方程
的两根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b1ed5f2ab28600f66b0c724cdbfdfb.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047eb6c3f01b1952fceff6a183325fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28a854eda450ce5a2b68879b11992d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195141d3696542d669106c70b8ea0824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b1ed5f2ab28600f66b0c724cdbfdfb.png)
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【推荐2】已知等比数列
的首项为-2,公比为q.试写出一个实数q=______ ,使得an<an+1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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名校
【推荐1】中国古代数学著作《算法统宗》中有这样一个问题:“三百七十八里关,初行健步不为难,次日脚痛减一半,六朝才得到其关,要见次日行里数,请公仔细算相还.”其意思是“有一个人走378里,第一天健步行走,从第二天起脚痛每天走的路程是前一天的一半,走了6天后到达目的地.”请问前三天走了______ 里.
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【推荐2】设z1=
+
+
+…+
,则z1=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819a0b98a210476474e12aa1692b55f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed9cceee603afe981542717871ad3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b24d396d5b33b5f0fa0977306a9fcc.png)
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