题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-36370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-72364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-87746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230141-85998.png)
(1)写出
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-87746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230141-50888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230141-16556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230141-33930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-80546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-79904.png)
(2)猜想
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-87746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-72364.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-46157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-61056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-59021.png)
(2)猜想
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-34426.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-73858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230141-16556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-45113.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-33433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230144-38561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230144-42453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-46157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-61056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230142-59021.png)
(2)由(1)可猜想
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-34426.png)
(i) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230144-53725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230144-17729.png)
(ii)假设当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230144-51649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230145-15006.png)
则当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230145-32144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230145-94216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230145-19599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230146-66637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230146-78376.png)
故当
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230145-32144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230146-24993.png)
由(i)(ii)可得,
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-34426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-72364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230146-45668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-87746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230140-72364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230143-34426.png)
点评:中档题,在高考命题中,单独考查数学归纳法已不多见,但”归纳、猜想、证明”的思想方法,确实是一种重要的方法,因此,应注意熟练掌握。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230127-24871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230127-71484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230128-22534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230128-49503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230127-24871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230128-88069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230128-61379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009230128-56944.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225849-84316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225850-71637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225850-39933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225850-70361.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225818-70654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225818-81716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225819-45969.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225719-46673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225720-15379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225720-70795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225720-52472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225720-53155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225721-83637.png)
A.17 | B.18 | C.19 | D.20 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225636-57957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225636-99302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009225636-38635.png)
最新试题
- 1首先发现通电导线周围存在磁场的物理学家是( )A.安培B.法拉第C.奥斯特D.特斯拉
- 218世纪法国思想家孟德斯鸠曾说:要防止滥用权力,就必须以权力制约权力。我国政府在行政管理体制改革中,不断健全行政监督体系
- 3【题文】联系语境,仿照画线的句子,在横线上再写两个句子,将某两部名著的内容从一侧面点出来。(4分)长大后,我不再满足于童
- 4补写出下列名篇名句中的空缺部分。(1)石狮子见了我笑出了泪啊。_______________。(郑愁予《雨说》)(2)云
- 5【题文】分封制的大规模实施是在周公摄政和成康时期,目的在于“封建亲戚以蕃屏周”。秦始皇灭掉东方六国,把封建君主集权制推广
- 6新兴大脑营养学发现,大脑生长发育与不饱和脂肪酸有关.从深海鱼油中提取出来的一种不饱和脂肪酸被称为“脑黄金”,它的化学式为
- 7下列四种现象中,能用来说明分子间存在引力的是( )A.0.5L水和0.5L酒精混合后总体积小于1LB.煤球放在墙角处多
- 8如图,一转盘被等分成三个扇形,上面分别标有-1,1,2中的一个数,指针固定,转动转盘后任其自由停止,这时某个扇形会恰好停
- 9正方体-中,与平面所成角的余弦值为_________________.
- 10读我国部分地区等温线分布图,回答下列问题:(36分)(1)分析影响图中北部、西部、东部等温线分布特点及主要影响因素。(1
热门考点
- 1如图,射线有______条,线段有______条.
- 2已知m∈R,直线l:和圆C:。(1)求直线l斜率的取值范围;(2)直线l能否将圆C分割成弧长的比值为的两段圆弧?为什么?
- 3下列有关阿伏加德罗常数(NA)的说法错误的是( )A.32gO2所含的原子数目为NAB.0.5molH2O含有的原子数
- 4如果在地球上盖一座房子,四面窗子都向北开,这座房子应盖在[ ]A.南极点上B.北极圈上C.北极点上D.赤道上
- 5如图,物体A、B用细绳与弹簧连接后跨过滑轮.A静止在倾角为45°的粗糙斜面上,B竖直悬挂.已知质量mA=3mB,不计滑轮
- 6She _____ the carpet with some very nice curtains in colour.
- 7下列等式中,是x的函数的有( )个.(1)3x-2y=1;(2)x2+y2=1;(3)xy=1;(4)|y|=x.A.
- 8计算:(1)-+-+ (2)-+-(3)-3-(-2)+3
- 9阅读理解。
- 10读世界火山、地震带分布图,回答下列问题。(1)写出世界上两大火山、地震带的名称______________火山、地震带;