题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010849-41573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-76711.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-82367.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-77925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-86255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010849-41573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-82367.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-91648.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-18264.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-34509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-92962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-62836.gif)
答案
则 f`(x)=2ax+b,由于f`(x)=6x-2,
得 a="3" , b=-2, 所以 f(x)=3x2-2x. ………3分
又因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-86255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010849-41573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010850-77925.gif)
当n≥2时,an=Sn-Sn-1=(3n2-2n)-
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010852-98499.gif)
当n=1时,a1=S1=3×12-2=6×1-5,所以,an=6n-5 (
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-62836.gif)
(Ⅱ)由(Ⅰ)得知
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010852-53894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010852-30659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010852-68698.gif)
故Tn=
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010853-28067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010853-85616.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010853-57536.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010853-28108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010853-33938.gif)
因此,要使
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010854-46682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010854-97578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010854-86193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010851-62836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010854-46682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010854-28766.gif)
即m≥10,所以满足要求的最小正整数m为10.
解析
核心考点
试题【已知二次函数的图像经过坐标原点,其导函数为,数列的前n项和为,点均在函数的图像上。(Ⅰ)求数列的通项公式;(Ⅱ)设,是数列的前n项和,求使得对所有都成立的最小正】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010656-26768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010656-64658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010657-65035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010656-64658.png)
A.3 | B.-1 | C.2 | D.0 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010551-18047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010551-46017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010551-13835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010516-25562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010516-53168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010516-25562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-21272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-38394.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-80494.gif)
(Ⅰ)求常数
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-83421.gif)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010516-25562.gif)
(Ⅲ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-26908.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010518-82932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-21272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010518-31878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010517-21272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010518-57731.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010506-52827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010507-16996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010507-71607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010507-40960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010507-19758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010439-92226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010439-46816.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010439-70339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010450-16754.gif)
(I)当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010450-48728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010451-38448.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010439-92226.gif)
(II)证明:对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010451-74878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010451-74878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010451-46868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010451-56180.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011010452-99062.gif)
最新试题
- 1已知,则的值为( )
- 2某物自我介绍时说:“酚酞遇我脸变红,厨具清洁我帮忙,胃酸多时我来减,分类我却在盐中。”这种物质可能是[ ]A.洗
- 3以不在同一直线上的三点A、B、C为顶点画平行四边形,最多可以画的个数是( )A.1B.2C.3D.4
- 4已知曲线f(x)=x3+ax2+bx+1在点(1,f(1))处的切线斜率为3,且x=23是y=f(x)的极值点,则a+b
- 5(1)20m/s=______km/h;(2)108km/h=______m/s
- 6在△ABC中,∠C=90°,BC=4,sinA=23,那么AC=______.
- 7根据提示默写,每小题1分。(8分)小题1:烟柳画桥, , 。(柳永《
- 8任务型阅读(共10分,每题2分)Pets are a part of people’s lives. Some pets
- 9中央电视台《百家讲坛》节目受到人们的广泛欢迎。节目曾对下图中的历史人物进行过评述,下面说法最适合他的是:( )A.他结束
- 10新浪网2010年8月4日消息:昨天南京最高气温达到38.3°C,创下5年来的最高值。预计后天开始将有一次明显降水过程,高
热门考点
- 1关于y的方程4y+5=0与4y+3k=1的解完全相同,则k的值为( )A.-2B.34C.2D.-43
- 2SECTION C Directions: Complete the following passage by fill
- 3当x=-7时,代数式ax7+bx5+cx3-3的值为7,其中a、b、c为常数,当x=7时,这个代数式的值是______.
- 4实验室用下图装置制取二氧化碳,并检验它的性质.回答下列问题:(1)若用装置A制取二氧化碳气体,所用药品的名称是_____
- 5(13分)医学上经常用硫酸亚铁糖衣片给贫血患者补铁。某兴趣小组的同学对糖衣片中硫酸亚铁晶体的制备和组成产生了兴趣并对其进
- 6完形填空。(10分)Bruce is only an 8 years old boy.He loves the 33
- 7有一束光沿AO射入一个暗盒中的平面镜上.如图所示,若要使反射光线从小孔B中射出,可以将平面镜上下左右移动,使移动后的镜面
- 8(10分)小明家有一台电风扇,内阻为20Ω,额定电压为220V,额定功率为66W,将它接上220V的电后,发现因扇叶被东
- 9做匀加速直线运动的物体连续通过相等的两段路程AB和BC(如右下图)的平均速度分别为vl="3" m/s,v2="6" m
- 10如图,已知P为⊙O外一点,PA、PB分别切⊙O于A、B,OP与AB相交于点M,C为上一点。求证:∠OPC=∠OCM。