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利用微分计算切线的综合题(Applications of Tangent Lines of Curves by using Differentiations)
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概率密度函数和累计分布函数的综合运用方法归纳(Summaries of the applications of PDF and CDF)
利用一阶导函数比较e^π和π^e及sin与多项式(Example of Comparing e^π&π^e ,etc by using derivatives)
IBFM及APBC利用定积分计算图形汇总(summary for calculating the graph by definite integrals)
洛必达法则的基本应用举例(Examples of the Basic Applications of l'Hospital's Rule)
利用二项展开式的系数相等证明等式(Prove Identities by using Equating Coefficients of Binomial)
同角三角比的六边形记忆法(Formulae in trigonometric ratios by using hexagon)
利用数学归纳法求n阶导数(Prove nth derivative by using Principle of Mathematical Induction)
洛必达法则的进阶应用举例(Examples of the Further Applications of l'Hospital's Rule)
利用泰勒展开式估算微分方程的解(Find solution in a series form by using Taylor series method)
函数作图(2)大浪函数和逻辑函数(Sketching Curves of Surge Function and Logistic Function)
利用积分因子计算一阶微分方程的原理(principle of solving 1st order D.E. by integrating factor)
6个基本三角函数的图像总结(Summaries of properties of 6 Baisc Trigonometric Functions' Graph)
二项分布的假设检验以及拒绝域计算(hypothesis of binomial distribution and its critical regions)
麦克劳林级数中的自然对数ln的计算技巧与ln2的估算(Maclaurin Series for ln and approximations for log)
极坐标下的面积与切线的综合题(Find the areas and tangents under the Polar Coordinate System)
利用麦克劳林级数对p=2的p级数的求和(Find the Sum of p-Series with p=2 by Using Maclaurin Series)
参数方程消参的三种技巧(3 methods for eliminating the parameters in parametric equations)
利用积分因子计算一阶微分方程的举例(examples for solving 1st order D.E. by integrating factor)
和差化积公式的推导与应用(Deduction and Application for the Factor Formulae in trigonometry)
排列组合之可重复选择问题(Counting with replacement by using permutation and combination)
最值的应用题(2)圆周计算(Applications of Optimisation of Cases in Circle)
空间中的方位角计算(Calculating the Bearing in 3-dimension space)
复角公式/和差展开式的例题举例(Examples of the compound angle formulae)
排列组合之站队问题(Counting in a line by using permutation and combination)
利用无穷递缩等比数列改写循环小数为分数(Convert repeat decimals into fractions by Inf-Convergent-GS)
无穷项级数的求和与求极限问题(Examples of Finding the Sum and Limit of Infinite Series)
等比数列的杂项(some skills in treating with geometric sequences and series)
棣莫弗定理的简单应用(Applicantions for de Moivre's Theorem in complex numbers)
利用矩阵求解三元一次方程组和平面位置关系(Describe the Positions of Planes by Matrix and Vector)
利用双曲三角换元求解积分举例(substition by hyperbolic trig to treat with the integrals)
数学归纳法证明不等式(Prove inequalities by mathematical induction)
极坐标下的水平切线和竖直切线(parallel tangents and perpendicular tangents to the initial line)
不同底数时的对数的化简(simplify log with different basic number)
导数系统课(技巧篇)之朗博同构与超越函数、切线放缩、指对同构综合应用
棣莫弗定理求高次方根(find n-th roots by using de Moivre's Theorem in complex numbers)
指、对数函数的性质的归纳(the properties of the exponential and logarithmic functions)
常用三角运算公式汇总及举例(Summaries and Examples of Formulae in Trigonometry)
带割补的定积分求面积(Find the area by using definite integrations)
旋转体表面积的计算及球体表面积的推导(Surface Area of a Revolution and the Deduction of the Sphere)