题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041456-12879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-33694.png)
(1)在
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-93845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-69576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-11201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-44616.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-18449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-17514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-11389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-21140.png)
(3)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-45613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-85918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-63344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-80824.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-25030.png)
(3)证明:由
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-12311.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-30961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-63344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-79071.png)
故对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-48144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-25644.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-11201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-42449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-53376.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-44443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-25030.png)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-30961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041502-74875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041502-50302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041502-97077.png)
设三角形的三边长为
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041502-35684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-91914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-77614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-98729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-94793.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-11389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-73343.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041504-32424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041504-88639.png)
经检验当
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041504-42920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041503-73343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041504-33625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041505-33255.png)
综上所述,满足不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041458-11389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-21140.png)
(3)证明:因为
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041457-95728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-12311.png)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-30961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041505-51370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041505-41139.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-85918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041505-34645.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041505-62510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041506-76752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041506-20563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041506-25855.png)
故数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041459-63344.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041506-57576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041506-35594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041507-28166.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041507-78538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041500-79071.png)
故对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-48144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041501-25644.png)
点评:难题,本题综合性较强,涉及等差数列、等比数列、不等式及构成直角三角形的条件。对法则是自点变形能力要求高,易出错。
核心考点
试题【已知直角的三边长,满足(1)在之间插入2011个数,使这2013个数构成以为首项的等差数列,且它们的和为,求的最小值;(2)已知均为正整数,且成等差数列,将满足】;主要考察你对数列综合等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-64296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-99849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-84262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-46796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041447-81200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041447-56382.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-64296.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041447-51018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041447-25901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041446-99849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041447-52183.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041448-12105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041448-54998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041448-46129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041438-51266.png)
(1)求证:{
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041438-66932.png)
(2)求{a n }的通项公式;
(3)数列{an }中是否存在自然数k0,使得当自然数k≥k 0时使不等式a k>a k+1对任意大于等于k的自然数都成立,若存在求出最小的k值,否则请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041428-86186.png)
A.![]() | B.![]() | C.![]() | D.1 |
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041418-81144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041418-70418.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041412-93568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041412-12757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041413-41515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041413-83763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015041413-61700.png)
A.![]() | B.![]() | C.![]() | D.![]() |
最新试题
- 1西欧封建等级制度形成的基础是[ ]A.罗马共和国的建立B.罗马帝国的扩张C.亚历山大东征D.查理·马特改革
- 2正方体ABCD-A1B1C1D1中,与AD1异面,且与AD1所成角为60°的面对角线共有______条.
- 3读“30°N地区几种朝向的窗户内每天可能受到太阳直接照射的时间曲线图”,回答小题。小题1:该地区住宅窗户的下列朝向能使室
- 4在一不透明的盒子中放有三个分别写有数字1,2,3的红色小球和五个分别写有1,2,3,4,5的白色小球,小球除颜色和数字外
- 5下列各句中,加点的熟语使用最恰当的一项是( )A.我们要大力弘扬万众一心、埋头苦干、开拓创新的精神,厉兵秣马,锐意进
- 6古代皇宫中的太监是正常男性经阉割后变成的.太监在体型上表现为没有胡须,喉结变小,声音尖细,皮肤松弛等体征,这说明太监被阉
- 7从A、B、C、D四个选项中找出其划线部分与所给单词的划线部分读音相同的选项,并在答题卡上将该项涂黑。小题1:vegan
- 8胎儿生活在子宫内半透明的液体──___________中,通过___________、___________从母体获得所
- 9如果不小心把火线和零线碰在了一起,就会造成______路,这时电路中的______自动断开,切断电路.
- 10(5分)某化学兴趣小组欲测定某石灰石样品中碳酸钙的质量分数。取20 g石灰石样品(假设杂质既不溶于水,也不与其他物质反应
热门考点
- 1(9分)如图所示,质量M="2" kg的小车静一止在光滑的水平面上,车面上AB段是长L="1" m的光滑水平平面,与AB
- 2书面表达。 假如你是市长,你将为大家做些什么?请你以If I were the mayor of our cit
- 3设集合A=[0,),B=[,1],函数,若x0∈A, 且f[(x0)]∈A,则x0的取值范围是( )。
- 4下列说法中,正确的是( )A.非金属元素组成的单质中一定含有共价键B.非金属元素的气态氢化物中一定含有共价键C.离子
- 5若“勇气”号在火星上取到一份土壤样品,其质量为0.32g,体积为0.08cm3,则这份样品的密度为______g/cm3
- 6决定家兔毛色的基因白色(H)对黑色(h)是显性的。一对白毛家兔生了一只黑毛家兔,这对白毛家兔的基因组成是( )A.HH
- 7阅读下列材料,回答问题:材料一珍妮纺纱机材料二瓦特制成的蒸汽机材料三材料四童工(1)材料一、二中机器的发明各有何重大作用
- 8碳酸钠俗称纯碱、苏打,是一种常用的日用化学品。在实验室里,可用如图所示装置,以氯化钠、二氧化碳、氨等为原料制备纯碱。实验
- 9日本核危机我们接受的剂量为5万分之一毫希,用科学计数法表示5万分之一=( )。
- 10下图为世界地图上回归线的一部分,已知点A-B之间为海洋,A点以西、B点以东为陆地。回答下列各题:(1)AB线位于[