解题方法
1 . 某城市的绿化建设有如下统计数据:
如果以后的几年继续依此速度发展绿化,那么至少到哪一年该城市的绿化覆盖率可超过
?
年份 | 2015 | 2016 | 2017 | 2018 |
绿化覆盖率/% | 17.0 | 17.8 | 18.6 | 19.4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cff13e238dac9c6dc524afb28a65045.png)
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2 . 已知等差数列的通项公式为
.
(1)求首项
和公差
;
(2)画出数列
的图象;
(3)判断数列
的增减性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddc35be2e9dd2e67556a0142c879d3f.png)
(1)求首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)画出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2023-10-10更新
|
445次组卷
|
4卷引用:5.2.1等差数列(分层练习,9大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)
(已下线)5.2.1等差数列(分层练习,9大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)北师大版(2019)选择性必修第二册课本习题第一章2.1 等差数列的概念及其通项公式(已下线)1.2.1 等差数列的概念及其通项公式8种常见考法归类(2)北师大版(2019)选择性必修第二册课本例题2.1 等差数列的概念及其通项公式
3 . 在等差数列
中,
(1)已知
,
,求
;
(2)已知
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc807ea4b8a7ed325aee49aa292552ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38c5d56a437f36bde9ce723233e0063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b7847d17128c65e6ad1cce4264bfb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
解题方法
4 . 某公司购置了一台价值为220万元的设备,随着设备在使用过程中老化,其价值会逐年减少.经验表明,每经过一年其价值就会减少d(d为正常数)万元.已知这台设备的使用年限为10年,超过10年,它的价值将低于购进价值的5%,设备将报废.请确定d的取值范围.
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5 . 如图所示,已知某梯子共有5级,从上往下数,第1级的宽为
,第5级的宽为
,且各级的宽度从小到大构成等差数列
,求其余三级的宽度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73f6eb456829de6bfed5b65c7232435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d378f597deee1b3087f6d0698b6cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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23-24高二上·全国·课后作业
6 . 已知数列
为等差数列,前n项和为
,求解下列问题:
(1)若
,
,求
;
(2)若
,
,求
;
(3)若
,
,
,求n.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1185922d4202f89c876b85824057c5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36989853e0d247e504b292e17d8a8cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaadfdfb23ba4a00669da7eccb334862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a5241b0b0c4a9ffa9ce68c38d821bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ae52a8f33b38d4c4a81993d704d7b8.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122931f239d21bbe91a696073c79716f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ef06b8ea6bbf164ba71f3232601656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532a1816979013b23d7657be71e0be90.png)
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23-24高二上·全国·课后作业
7 . 在等差数列
中,
(1)已知
,
,求
;
(2)已知
,
,求d;
(3)已知
,
,
,求n.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2572192cc7ca046e9a3155ef3e56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0748c346ed88f98e424de8edf278325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec86e0dce142fe6fb91d2ab687a3b0e4.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f2572192cc7ca046e9a3155ef3e56a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c2130a7cbbcd1554f4863e1666408d.png)
您最近一年使用:0次
23-24高二上·全国·课后作业
解题方法
8 . 已知等差数列
的前n项和为
,且
,
,求
取得最大值时对应的n值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f67e6f9f75fe5e80873eac20abc83b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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23-24高二上·全国·课后作业
解题方法
9 . 已知
为等差数列
的前n项和,且
,
.
(1)求数列
的通项公式;
(2)求
的最大值及对应的n值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be3f864d60fc147b6905979403f3b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9ad0c77cb1d6bdcee22768c59c12a4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-09-12更新
|
450次组卷
|
3卷引用:1.2 等差数列
23-24高二上·全国·课后作业
10 . 已知
,
为等差数列
的图象上的两点.
(1)求数列
的通项公式;
(2)画出数列
的图象;
(3)判断数列
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929a5a2d5fdcb44684f2408a251f1e66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ea9c86a4cc05d5c95c134edb874e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)画出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次