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1.
由正项等差数列若干项的方幂构成的不等式,叫做正项等差数列方幂不等式,数学教学讲到等差数列问题,很少联系不等式,为了沟通等差数列与不等式的联系,文[1]从等差数列三项的足数成等差数列出发,引出几个正项等差数列方幂不等式.本文再从等差数列三项的足数成等比数列出发,引出几个这样不等式.为了简便起见,以下规定数列{an}是公差为d(d≥0)的正项等差数列,Sn为其前n项的和,m,n,p,k为正整数,且n≠k.  相似文献   

2.
阶差数列的几个性质及其应用   总被引:1,自引:0,他引:1  
等差是等差数列最核心的本质特征.高阶等差数列(或称n阶差数列)是等差数列的普遍形式,一阶等差数列是n阶差数列当n=1时的特例.以往所见关于等差数列的讨论,大多围绕其一阶情况展开.有些常见的关于等差数列的定义也仅仅适用于一阶条件的假定,不能确切描述等差数列的高阶(二阶及以上)情况.本文研究高阶等差数列及其差分性质,以及在数列的通项公式和前项和的作用.  相似文献   

3.
<正>等差数列是高中数学的重要内容,有关等差数列定义的判断,相对比较简单,但是其涉及的题型变化是多样的,如何从多变的题型中回归到最初等差数列的定义上来,这是我们要研究的解决等差数列的最好方式。从高中数学等差数列问题的解答易错点分析,能够真正了解当前同学们在等差数列学习中存在的问题,针对当前问题进行针对性的解决,可以提升同学们的学习能力。一、高中数学等差数列问题解答易错点1.错误理解等差数列公差的取值  相似文献   

4.
我们知道,任意给定的两个等差数列的对应项相加(或相减)得到的新数列仍然是等差数列,并且新数列的首项是两个给定等差数列的首项和(或差)。新等差数列的公差是两个给定等差数列公差之和(或  相似文献   

5.
等差数列是高中数学的重要概念,而对等差数列概念的理解是学好等差数列的基础.本文结合自己的教学实践,从实际生活情境和函数的角度对等差数列的概念进行引入,并对两种方式做了深刻的反思,目的是引导学生认知、理解等差数列概念,为进一步学习打好基础.  相似文献   

6.
<正>数学中有一种数列叫"二级等差数列"。"二级等差数列"也称"差后等差数列",就是数列的后项减前项,组成的新数列是等差数列。比如3,7,12,18,25就是二级等差数列,为什么呢?用后项减前项可以得出4,5,6,7,很明显,得出来的新数列为公差为1的等差数列。仔细观察3,7,12,18,25这个数列,如果直接用后项减前项,它并不是一个等差数列。但是,如果用后项减前项的结果组成新数列,那么我们就可以惊喜地  相似文献   

7.
等差数列一直是中职单招高考中的重要内容.解决等差数列问题应结合方程思想、整体思想、数形结合思想,围绕等差数列通项公式、求和公式、等差数列和二次函数的特殊关系求解.  相似文献   

8.
<正>等差数列是两种特殊的数列之一,也是高考的重要知识点。虽然等差数列的考查难度不是很大,但是在解答过程中还是比较容易出现失误。本文就等差数列解题中的几个易错点进行探究。一、错用等差数列的性质致错例1已知数列{a_n}是等差数列,且满  相似文献   

9.
根据等差数列的定义,可以推出等差数列若干重要性质.运用等差数列的重要性质,可以给我们解决有关数列问题带来极大的方便.下面就等差数列的若干重要性质及应用略作归纳.[第一段]  相似文献   

10.
当前,有些教师在等差数列教学时,往往并不是十分明确等差数列教学的起点(其实有些教材编写也存在着类似问题),也不是很清楚等差数列教学的目标,结果导致等差数列教学设计“走形”“变样”“跑偏”.以下主要分析等差数列教学的起点和目标,希望能引起教师对这两个问题的讨论和反思.  相似文献   

11.
When pigeons are required to peck each of two keys in any order for reinforcement, stereotyped response sequences develop that are resistant to disruption by extinction, schedules of reinforcement, or contingencies requiring sequence variability. To test the hypothesis that stereotyped response sequences become integrated behavioral units, two experiments introduced within-sequence temporal delays of varying duration. Experiment 1 found that when a delay followed each peck in a sequence, there was substantial disruption of sequence performance that was independent of delay duration. However, such disruption was only temporary. Experiment 2 found that when the location of a delay within a sequence was varied, sequence disruption was a function of when, in a sequence, the delay occurred. Delays that occurred within sequence subunits had large effects, whereas delays that occurred between such subunits had small effects. The data indicate that pigeons can learn to bridge within-sequence delays, and suggest that response sequences are organized into “phrases.”  相似文献   

12.
The present study examines implicit sequence learning in adult dyslexics with a focus on comparing sequence transitions with different statistical complexities. Learning of a 12-item deterministic sequence was assessed in 12 dyslexic and 12 non-dyslexic university students. Both groups showed equivalent standard reaction time increments when the sequence was unexpectedly changed, suggesting that learning of the sequence took place. However, a novel analysis comparing transitions of differing complexity within the learning blocks indicated that dyslexic participants were impaired only for higher-order but not first-order sequence learning. No difference was found in the explicit awareness contribution between the two groups and this was found not to correlate with reaction time performance. This result suggests that statistical complexity of the sequence may account for intact and impaired learning performance in dyslexia.  相似文献   

13.
直接序列扩频系统中,扩频序列的选择是个关键问题。扩频序列性能的好坏,直接关系到直接扩频通信系统整体性能的优劣,如抗干扰、抗衰落、同步与跟踪等性能。由于复合序列具有更高的复杂性和抗干扰能力,现已逐步代替传统的扩频序列。为此,提出一种混沌序列与Walsh序列相复合的复合序列,并对复合序列的抗干扰性能、子序列对复合序列性能的影响进行分析,仿真结果表明新的复合序列较传统序列有更强的抗干扰能力,且该复合序列的抗干扰性能不受子序列初始值影响,具有很高的应用价值。  相似文献   

14.
对屏蔽二进序列偶进行研究,证明了一类特殊的差集偶与最佳屏蔽二进序列偶是等价的,以及另一类特殊的差集偶与伪随机屏蔽二进序列偶是等价的;证明了几乎最佳屏蔽二进序列偶与一类特殊的可分差集偶之间的等价关系,为应用差集偶和可分差集偶构造屏蔽二进序列偶提供了理论依据。利用分圆类方法构造与最佳屏蔽二进序列偶等价的差集偶,得到几类最佳屏蔽二进序列偶。  相似文献   

15.
INTRODUCTION Let w be the set of all sequences of real or com- plex numbers and R∞, c and c0 be the sequence spaces of bounded, convergent and null sequences x=(xk), respectively. A sequence x∈R∞ is said to be almost convergent (Lorentz, 1948) if all Banach limits of x coincide. Lorentz (1948) proved that 1 c? = ??? x =( xk ) :linm 1n ∑kn= xk s exists, uniformly in s???. Maddox (1967; 1978) has defined x to be strongly almost convergent to a number L if 1 linm 1n ∑k n= xk s? L=0,…  相似文献   

16.
A three-phase experiment was conducted in which rats received a double-alternation schedule of reward and nonreward. During Phase 1, the baseline period, double-alternation behavior was displayed earlier and more strongly by subjects run last in the daily sequence. This finding suggests that both reward and nonreward odor cues are cumulative over subjects. During Phase 2, a subject-rotation procedure was initiated; that is, each day the last subject in the previous day’s running sequence was moved to the first position in the sequence, etc. Rotation to the first position in the group led to an immediate disruption of responding. During Phase 3, two naive rats were inserted at the beginning of the running sequence and two at the end. The results, which showed that the naive animals placed at the end of the sequence acquired the patterning response much faster than those placed in the beginning positions, are interpreted as reflecting preparedness to respond to such intensified odors.  相似文献   

17.
讨论Fourier级数的线性求和算子列是收敛算子列的充要条件.  相似文献   

18.
Biology sequence comparison is a fundamental task in computational biology. According to the hydropathy profile of amino acids, a protein sequence is taken as a string with three letters. Three curves of the new protein sequence were defined to describe the protein sequence. A new method to analyze the similarity/dissimilarity of protein sequence was proposed based on the conditional probability of the protein sequence. Finally, the protein sequences of ND6 (NADH dehydrogenase subunit 6) protein of eight species were taken as an example to illustrate the new approach. The results demonstrated that the method is convenient and efficient.  相似文献   

19.
目的:克隆蚓激酶基因并在GENEBANK中进行序列分析.方法:采用RT—PCR技术,以蚯蚓总.RNA为模板进行扩增,克隆蚓激酶基因、用Blast软件对基因进行同源性分析.结果:克隆了一个cDNA片段,与GENEBANK中蚓激酶基因序列最高同源性为99%.结论:本方法实用可行,同源性分析表明克隆的cDNA片段具备完整的蚓激酶编码区,为下一步进行蚓激酶的表达研究奠定了良好的基础.  相似文献   

20.
沉积环境分析是聚煤作用分析的基础,而层序地层分析又为沉积环境的分析以及含煤岩系的划分和对比提供了解释的基础。对贵州省六盘水煤田晚二叠世含煤岩系沉积环境进行分析,并对其关键层序界面进行识别,提出区内层序地层格架,恢复各层序的沉积环境,最后对区内聚煤作用控制因素进行分析,提出了区内晚二叠世基于层序—沉积相的聚煤规律。  相似文献   

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