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1 . 在等差数列{an}中,已知a15=10,a45=90,a60=_____ .
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2019-11-10更新
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515次组卷
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3卷引用:上海市复旦附中2018-2019学年高二上学期10月月考数学试题
上海市复旦附中2018-2019学年高二上学期10月月考数学试题沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 阶段训练2(已下线)4.1等差数列及其通项公式(第1课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件
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2 . 已知数列{an}的前n项和Sn=(﹣1)n﹣1•n,若对任意的正整数n,有(an+1﹣p)(an﹣p)<0恒成立,则实数p的取值范围是_____ .
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3 . 已知不同的三点
在一条直线上,且
,则等差数列
的前2016项的和等于________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2467ae513b2b79387a6840dd334e953a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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4 . 已知数列
的前
项和为
,
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e0e47eaf5d7c06a0aca950850c4a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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5 . 若两整数
、
除以同一个整数
,所得余数相同,即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087f69affd7f08c1463728cd076b695e.png)
,则称
、
对模
同余,用符号
表示,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5d874b0460df6d39406d5c65048d49.png)
,满足条件的
由小到大依次记为
,则数列
的前
项和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087f69affd7f08c1463728cd076b695e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d249e709887bf45faf5ab870d1cbc52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533b72c26eaa2ca65d9d7b4fcaf8651e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5d874b0460df6d39406d5c65048d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05bc6fe45b437668f6e9f91e5f3d53d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2506385d68e133523a24a5f5770adb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
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2020-02-03更新
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466次组卷
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3卷引用:2016届上海市杨浦区高三5月模拟(三模)(理)数学试题
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6 . 在等差数列
中,
,则
的最小值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dae6a9cfd7fb452eed5ad8af4137c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90566206edfa288d75c2baa2ef820693.png)
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2020-01-07更新
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253次组卷
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2卷引用:上海市控江中学2016-2017学年高三上学期第一次月考数学试题
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7 . 设
是公差不为0的等差数列,
且
成等比数列,则
的前10项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42ffe7ab16aba523fa1c7e5998a247a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
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8 . 已知等差数列
中,
,
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa4cf1aefcb569197b97ecb8fc4049f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
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9 . 已知
是等差数列,其公差
,其前n项和记为
,且
,
,则当
取最大值时的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee21423ae284d4a2f5bc2bcf7cc49bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f18f2c2ec67b5e59e4b3d28795d125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be3d182c709f7f63e12b8eee24eb63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b006923d003293652c21e832a8b69d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f18f2c2ec67b5e59e4b3d28795d125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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2020-02-03更新
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1524次组卷
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3卷引用:上海市上海理工大附中2015-2016学年高二上学期期中数学试题
10 . 公差不为零的等差数列
中,
,
,
,
成等比数列,则公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b71ef6cb9c5d494692d40a9ef279f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
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