1 . 已知多项式
.
(1)若
,且
有三个正实数根
,
,
,证明:
;
(2)对一般的正整数
,若
,
,
,
,证明:方程
的根不全是正实数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d310b3ca60508199bb95f15860232f4d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8de1c943439d47ca9e9a02e558a1b2e.png)
(2)对一般的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9772498c845b2043b375d1e8d8416b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e506a31a62c9581edb62218fce59b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f13c73c7894077a19b6c403587de96a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4e01e8ef5adf43e1f21591adbc3851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
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名校
2 . 若实数a,b,
,且满足
,
,
,则a,b,c的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbcc8c7b39e7b0defdbf4046ccd50d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47799b2bbfe32ea27722b7eca4dbba72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97498c6df8bed1f3419810449f75a4b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5805a1894ec1f8b2c0107ffb2478f3f2.png)
A.c>b>a | B.b>a>c | C.a>b>c | D.b>c>a |
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2023-04-06更新
|
2080次组卷
|
7卷引用:四川省绵阳市南山中学2024届高三上学期12月月考数学(理)试题
四川省绵阳市南山中学2024届高三上学期12月月考数学(理)试题2023届高三冲刺卷(二)全国卷-理科数学试题湖北省部分名校2023届高考适应性考试数学试题安徽省安庆市桐城中学2023届高三下学期第一次模拟数学试卷(已下线)第三章 利用导数比较大小 专题一 同构具体函数比较大小 微点1 构造x,x^2,e^x的组合函数比较大小河北省秦皇岛市青龙满族自治县实验中学等2校2023届高三冲刺模拟(二)数学试题广东省深圳市深圳外国语学校2024届高三上学期第一次调研数学试题
20-21高三下·上海浦东新·阶段练习
名校
解题方法
3 . 设数列
是公差为d的等差数列.
(1)若
,
,讨论方程
的根的个数;
(2)若
,
,求函数
的最小值;
(3)若数列
满足:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260203bb6ece08cc7f73e13663863545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9c61839485d91809d8abbd7647c1d6.png)
,试求该数列项数n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5eb525bc0784307b587a1033174969.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc72a5bf4279de5ead8f73d8301e535.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260203bb6ece08cc7f73e13663863545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9c61839485d91809d8abbd7647c1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb4c602fc1d6d851c05869c3e78c3c1.png)
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名校
解题方法
4 . 已知函数
在
处的切线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ec60c1d5e99c7dd9d343f0127bff95.png)
(1).求
的解析式;
(2).若对任意的
,均有
求实数k的范围;
(3).设
为两个正数,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f89d1045355084403aa3c3bfe812a4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ec60c1d5e99c7dd9d343f0127bff95.png)
(1).求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2).若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147ed879fbe216a902b729fcbe96b981.png)
(3).设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ca3aa2d1ba52e82613d0d65d800e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36af67dca04ff106d65a4a3505acb224.png)
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