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函数作图(2)大浪函数和逻辑函数(Sketching Curves of Surge Function and Logistic Function)
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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)
二项分布的假设检验以及拒绝域计算(hypothesis of binomial distribution and its critical regions)
6个圆三角函数的导数的推导(Deductions of derivative of basic trigonometric functions)
利用微分计算切线的综合题(Applications of Tangent Lines of Curves by using Differentiations)
极坐标下求夹面积(Areas between two curves under polar coodinates system)
函数常用的八种变换(transformations of the function)
极坐标下的水平切线和竖直切线(parallel tangents and perpendicular tangents to the initial line)
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)
6个基本三角函数的图像总结(Summaries of properties of 6 Baisc Trigonometric Functions' Graph)
逻辑函数的相关计算(Calculating of the Logistic Function)
重要三角比的极限和韦达公式(Basic trigonometric limits and Viete's Formula)
同角三角比的六边形记忆法(Formulae in trigonometric ratios by using hexagon)
指、对数函数的性质的归纳(the properties of the exponential and logarithmic functions)
洛必达法则的进阶应用举例(Examples of the Further Applications of l'Hospital's Rule)
复数辐角计算的举例(Examples of Calculating the Arguments of Complex Number)
积分的双曲三角换元和圆三角换元的互换技巧(integral substitution by hyperbolic trig and circular trig)
复角公式/和差展开式的推导(Deduction of the compound angle formulae)
基本的换元积分的一题多解(simple integrals by substitution with multi-answes)
棣莫弗定理的另类用法(other applications of de Moivre's Theorem)
曲线弧长的计算举例(Calculating the Length of the Arc on the Curve by Calculus)
利用二项展开式的系数相等证明等式(Prove Identities by using Equating Coefficients of Binomial)
复角公式/和差展开式的例题举例(Examples of the compound angle formulae)
二阶微分方程的函数分析举例(Analysis a function by solve second order differential equation)
较复杂的分离变量解微分方程(solve complicated differential equations with separate integrals)
微积分在运动学中的应用(1)(位移函数)(Application in Kinematics by Calculus with Displacement)
等比数列的杂项(some skills in treating with geometric sequences and series)
空间中的方位角计算(Calculating the Bearing in 3-dimension space)
等比数列与等差数列的对比题(Question of comparing Arithmetic Sequence with Geometric Sequence)
极坐标下的面积与切线的综合题(Find the areas and tangents under the Polar Coordinate System)
复平面内复数的轨迹的综合应用(1)(Application of the locus of the complex number(1))
圆锥曲线(1)直角双曲线的综合题(Applications of Rectangular Hyperbolar in Conic Curves)
【AP/ALEVEL/IB】等比数列的计算题(1)(geometric series)
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)
y=arccos(x)的麦克劳林级数展开(the expansion of Maclaurin Series of y=arccos(x))
双变量函数的相关变化率问题(the rate of change of functions with bivariants)
弧度制运算综合题(不含正余弦定理)(1)(radians without sine and cosin rule)
利用棣莫弗定理将次方角表示成多倍角(Further Application of de Moivre's Theorem)
不同底数时的对数的化简(simplify log with different basic number)
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)
麦克劳林级数的估算问题(1)(The approximations for Maclaurin's Series(1))