名校
解题方法
1 . 若数列
满足:
,且
,则称
为一个X数列. 对于一个X数列
,若数列
满足:
,且
,则称
为
的伴随数列.
(1)若X数列
中,
,
,
,写出其伴随数列
中
的值;
(2)若
为一个X数列,
为
的伴随数列.
①证明:“
为常数列”是“
为等比数列”的充要条件;
②求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c8ba9ab2f7cce1c14159d936508531e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf3c946a47b7c3b46a7e25a7dbee5bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若X数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58365ff21052f2f978c11844b002b933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd8ae4555eacf411d0a8867d9970668.png)
(2)若
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
①证明:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067eff9b6d48fd98c3400188247e04b1.png)
您最近一年使用:0次
2023-08-16更新
|
577次组卷
|
6卷引用:北京大学附属中学2022-2023学年高二下学期期末练习数学试题
北京大学附属中学2022-2023学年高二下学期期末练习数学试题北京市第五中学2024届高三上学期10月月考数学试题【北京专用】专题01数列(第一部分)-高二上学期名校期末好题汇编(已下线)专题22 新高考新题型第19题新定义压轴解答题归纳(9大核心考点)(讲义)(已下线)微考点4-1 新高考新试卷结构压轴题新定义数列试题分类汇编(已下线)第4章 数列单元检测(提优卷)-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)
真题
2 . 若
为常数,且
.
(1)求
对所有的实数
成立的充要条件(用
表示);
(2)设
为两实数,
且
,若
,求证:
在区间
上的单调增区间的长度和为
(闭区间
的长度定义为
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089e791569ccbc56a3fca4781c16965c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec09e7ab26188617083f3b467231250.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8c97a77335a5dc082b1e99154eee37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3c5a4887dfe02b02ee90d740151e1d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f92ba9f2cf267c946ff378c0a21f3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94345694d4215284c41f87146795ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ffcddd15cefbf62ef3b3cb40b0cc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
2016-11-30更新
|
1691次组卷
|
3卷引用:2012届北京市东城区普通高中示范校高三12月综合练习(一)理科数学