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中英文版(高一下數學 ) 第一章第節 數列 (數學歸納法)


1-1觀念講解4(數學歸納法1)
https://www.youtube.com/watch?v=04GqyPU1wqs


高一下數學1-1D觀念01為何需要數學歸納法
https://www.youtube.com/watch?v=Y3TYDVcRehA


高一下數學1-1D觀念02數學歸納法
https://www.youtube.com/watch?v=Gybw7tvaLN0


高一下數學1-1D例題01用數學歸納法證明平方和公式
https://www.youtube.com/watch?v=h9q6b-qhRAQ


數學歸納法及平方和級數
https://www.youtube.com/watch?v=gXr3fHblo1c


2 1 1數列與數學歸納法
https://www.youtube.com/watch?v=oKgD55wDzkU


【名師到你家】數學_數列與級數_10大必考題型 feat. CMmath陳名數學
https://www.youtube.com/watch?v=YjBcfcOOFg8


B2---1--1---數列與數學歸納法---數學歸納法理論
https://www.youtube.com/watch?v=46wauGokPeU


B2---1--1--- 數列與數學歸納法----數學歸納法(理論)B
https://www.youtube.com/watch?v=EksIz-LKstI


B2---1--1---數列與數學歸納法---類題12(1) ---數學歸納法證明例子
https://www.youtube.com/watch?v=U4qj5ZEwANw


B2---1--1---數列與數學歸納法---例12---數學歸納法求證N項平方和公式B
https://www.youtube.com/watch?v=yayLwrxH4YA


B2---1--1---數列與數學歸納法---例12---數學歸納法求證N項平方和公式
https://www.youtube.com/watch?v=Q1XvjzfYrSA


B2---1--1--- 數列與數學歸納法----13類題---倍數型----求P與數學歸納法求證B
https://www.youtube.com/watch?v=MvS9wQcxcSw


B2---1--1--- 數列與數學歸納法----課後題目9---倍數型----求P與數學歸納法求證
https://www.youtube.com/watch?v=PxSWebexxW0


B2--1--1--42--練習卷證明題目第4--用數學歸納法證明某式個位數恆為2
https://www.youtube.com/watch?v=mcHxXsfDYr0


B2-1--1----範例14--數學歸納法例子
https://www.youtube.com/watch?v=VNpWgqEEmqo


#21 [108新課綱] 高一第二冊_CH2-1_主題5 數學歸納法
https://www.youtube.com/watch?v=l3_Z1BlJ9CI


【高一下】數學歸納法常考證明題型-1
https://www.youtube.com/watch?v=Dgy91ZafMY0


【高一下】數學歸納法常考證明題型-2
https://www.youtube.com/watch?v=-7XyDcJWXRg


【高一下】數學歸納法常考證明題型-3
https://www.youtube.com/watch?v=R5z_t0rXa2o


【高一下】數學歸納法常考證明題型-4
https://www.youtube.com/watch?v=Gm06qkjt4Xk


數學歸納法證明不等式恆成立 例題13(1)
https://www.youtube.com/watch?v=T3W5uWVbQLI


數學歸納法證明不等式恆成立 例題13(2)
https://www.youtube.com/watch?v=QdarwL-Ol1M


數學歸納法倍數問題
https://www.youtube.com/watch?v=tb70_7Ckops


3-6 數學歸納法
https://www.youtube.com/watch?v=r9AowH6l1jY


高中_數學_數列與級數_數列1-數學歸納法
https://www.youtube.com/watch?v=hQD5dY74nYs


高中_數學_數列_觀念9 數學歸納法
https://www.youtube.com/watch?v=5zqCLeLings


高中_數學_數列_範例11
https://www.youtube.com/watch?v=pADwLdCEdZE


高中_數學_數列_範例12
https://www.youtube.com/watch?v=OQuzw_0Ylp8


高中_數學_數列_範例13
https://www.youtube.com/watch?v=ISSghuBwa6E


高中_數學_數列_範例14
https://www.youtube.com/watch?v=GIpq71Qumxg


高中_數學_數列_練習12
https://www.youtube.com/watch?v=Lo2vXqW2Pio


高中_數學_數列_練習13
https://www.youtube.com/watch?v=zvw8DLRUcmc


高中_數學_級數_練習14
https://www.youtube.com/watch?v=Qa3Z-xGs_8U


高中_數學_級數_練習15
https://www.youtube.com/watch?v=vT0woV4l2A8


高中_數學_數列_演練11
https://www.youtube.com/watch?v=VS-KOs6VsIs


高中_數學_數列_演練12
https://www.youtube.com/watch?v=vTiISL4je3U


高中_數學_數列_演練13
https://www.youtube.com/watch?v=oZPfStYgvJs


高中_數學_數列_演練14
https://www.youtube.com/watch?v=-EJP1uRA__c


高中_數學_惠文高中_矩陣的運算_矩陣的乘法練習5-1
https://www.youtube.com/watch?v=mucyWsEGO0M


學數學能解決脫發禿頭問題嗎?李永樂老師講數學歸納法和模糊數學
https://www.youtube.com/watch?v=NCP8AWINxAo


Expressions vs. Equations vs. Identities
https://www.youtube.com/watch?v=UBaMbrc02T0


What is Mathematical Induction?
https://www.youtube.com/watch?v=B2Qp3efqn0g


Mathematical Induction (HSC Study Guide 2016)
https://www.youtube.com/watch?v=oZwQkEDv3v0


Introduction to Mathematical Induction
https://www.youtube.com/watch?v=IdTaA6iz3Mo


Introduction to Mathematical Induction  
https://www.youtube.com/watch?v=skDz6ichD4Y
https://www.youtube.com/watch?v=kQrzXi6c3k0


Mathematical Induction Examples
https://www.youtube.com/watch?v=CU0qbjxgHKs


Proof by Mathematical Induction (1 of 2: Getting a statement to prove for n=k+1)
https://www.youtube.com/watch?v=DI5sSlvnNnY


Proof by Mathematical Induction (2 of 2: Using expression that is more restrictive to prove n=k+1)
https://www.youtube.com/watch?v=xzaYjR4LRms


Mathematical Induction Divisibility Proof (1 of 3: What is inductive logic?)
https://www.youtube.com/watch?v=jqv_VmQqRdY


Mathematical Induction Divisibility Proof (2 of 3: Test and assumption)
https://www.youtube.com/watch?v=62qg9XUgbbU


Mathematical Induction Divisibility Proof (3 of 3: Proving the k+1 case)
https://www.youtube.com/watch?v=LsZ5AtZzki8


Mathematical Induction - Proving Divisibility by 4 (1 of 2: Test and assumption)
https://www.youtube.com/watch?v=hkTPddqetU8


Mathematical Induction - Proving Divisibility by 4 (2 of 2: How to use the assumption)
https://www.youtube.com/watch?v=aG9gE6pjqAI


Induction: Divisibility Proof example 1 (n³ + 3n² + 2n is divisible by 6)
https://www.youtube.com/watch?v=G4ufVZlRpFA


Induction: Divisibility Proof example 3 (4^n - 1 is divisible by 3)
https://www.youtube.com/watch?v=eYy_rXKJDtk


Induction: Divisibility Proof example 4 (x^n - 1 is divisible by x-1)
https://www.youtube.com/watch?v=EfOwlOAb00U


Mathematical Induction Proof - Odd Integers (1 of 2: How to exclude even integers)
https://www.youtube.com/watch?v=miXrDwrjna4


Mathematical Induction Proof - Odd Integers (2 of 2: Proving the k+1 case)
https://www.youtube.com/watch?v=GZknN3HK0Kg


Mathematical Induction - Inequalities (1 of 4: General pointers)
https://www.youtube.com/watch?v=YCACr0e1Rsc


Mathematical Induction - Inequalities (2 of 4: Rearranging the k+1 case)
https://www.youtube.com/watch?v=Z9yQUWZuMBA


Mathematical Induction - Inequalities (3 of 4: Starting with the assumption)
https://www.youtube.com/watch?v=7KK7IT32qrU


Mathematical Induction - Inequalities (4 of 4: Manipulating the inductive hypothesis)
https://www.youtube.com/watch?v=RHBu3CXn95I


Mathematical Induction: Polynomial Divisibility Proof
https://www.youtube.com/watch?v=skPtGrJG6tU


Induction: Series & Algebraic Identities  
https://www.youtube.com/watch?v=x0rgqQtufOM
https://www.youtube.com/watch?v=d5KPyd5RJB8
https://www.youtube.com/watch?v=9r7rUboypnc
https://www.youtube.com/watch?v=NcyK1p4IQHk


Induction Proofs
https://www.youtube.com/watch?v=IYW4iszVH3w


Induction: Inequality Proofs
https://www.youtube.com/watch?v=7VLSjyUa2aA


Induction: Fibonacci Sequence
https://www.youtube.com/watch?v=fG-_Efm9ckM


Using mathematical induction to prove a formula
https://www.youtube.com/watch?v=Z_AJHZiNy5Q


Introduction to Mathematical Induction
https://www.youtube.com/watch?v=gUF6EhIS7d8


Mathematical Induction Practice Problems
https://www.youtube.com/watch?v=tHNVX3e9zd0


Induction Divisibility
https://www.youtube.com/watch?v=8J7Bft3BN0g


Mathematical Induction - Divisibility Tests (1) | ExamSolutions
https://www.youtube.com/watch?v=5JGjELKJYD0


Mathematical Induction - Divisibility Tests (2) | ExamSolutions
https://www.youtube.com/watch?v=ggVBdz5w5jw


Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 1 )
https://www.youtube.com/watch?v=dMn5w4_ztSw


Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )
https://www.youtube.com/watch?v=twA6vZgX_U4


Proof by induction | Sequences, series and induction | Precalculus | Khan Academy
https://www.youtube.com/watch?v=wblW_M_HVQ8


Discrete Math 5.1.1 Mathematical Induction - Summation Formulae and Inequalities
https://www.youtube.com/watch?v=TqpNDiqsz7k


Discrete Math 5.2.1 The Well Ordering Principle and Strong Induction
https://www.youtube.com/watch?v=mZ8wcxnT9WQ


Intro to Mathematical Induction
https://www.youtube.com/watch?v=GdM_iA1Zek4


Strong Induction
https://www.youtube.com/watch?v=rfA0h9udl7E

 

 


部分資料來源: 學習吧
https://www.learnmode.net/knowledge/version?p=26#focus

 

 

 

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