解题方法
1 . 已知数列
和正项数列
,其中
,且满足
,数列
的前n项和为
,记
,满足
.对于某个给定
或
的值,则下列结论中:①
;②
;③若
,则数列
单调递增;④若
,则数列
从第二项起单调递增.其中正确命题的序号为______ .
![](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/78b52c1e5e441410c43b2d30d0e9080e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c0a953fe3428caca3e32f306f97f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51d582a3aea09c5ef593feb710d9e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3233aed23bd3a029d445d275111b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485730913ec2af55025671d69267182c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7492975ca65036d5065a6637ede730e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d122408a30c563852b1defa57a4d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e851326ee1c71eb79b3707554ddbc0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3d090f557cf0937d6dbddee690c22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b54584544a6b9fae67a5a4d7fb4fe50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51d582a3aea09c5ef593feb710d9e65.png)
您最近一年使用:0次
解题方法
2 . 已知数列
的各项均为正数,满足
,其中常数
.给出下列四个判断:
①若
,则
;
②若
,则
;
③若
,则
;
④
,存在实数
,使得
.
其中所有正确判断的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fce99c8c3fa11f6a11bda1d3502e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddd06d1e4e625b2424440217ab3fd9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcdc29a0ce83ae27b7b91c74116c513.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcdc29a0ce83ae27b7b91c74116c513.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a42a3fb46d59afd395343eb0c7fea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d87fb02b08c88b0c9f27f839a7d9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e38b7185548773b2987f71f29b707c1.png)
其中所有正确判断的序号是
您最近一年使用:0次