<p><span style=";font-family:Calibri;font-size:14px">IB<span style="font-family:宋体">是三大国际培训课程之一，今天为大家介绍</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">课程培训</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">数学的六大知识板块。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px"><span style="font-family:宋体">所有</span><span style="font-family:Calibri">IBDP</span><span style="font-family:宋体">文凭项目学生必须在规定的六个学科组中每组选一门课程进行学习，其中三个高等级，三个初等级，每门科目的最高分数为</span><span style="font-family:Calibri">7</span><span style="font-family:宋体">分，再加上拓展论文</span><span style="font-family:Calibri">(EE)</span><span style="font-family:宋体">和知识论文</span><span style="font-family:Calibri">(TOK)</span><span style="font-family:宋体">的</span><span style="font-family:Calibri">3</span><span style="font-family:宋体">分，</span><span style="font-family:Calibri">IBDP</span><span style="font-family:宋体">的总分数为</span><span style="font-family:Calibri">45</span><span style="font-family:宋体">分。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><img src="/data/upload/image/20220221/1645430242474780.jpg" title="1645430242474780.jpg" alt="留学3.jpg"/></span><span style=";font-family:Calibri;font-size:14px">IBDP<span style="font-family:宋体">的学生不仅文科，理科甚至艺术的专业课都要学习，还要有大量的时间去完成各种论文和参加社会活动，所以</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">对学生学习能力要求非常高。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">IB<span style="font-family:宋体">课程培训中数学科目的课程设置：</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px"><span style="font-family:宋体">数学是</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">课程的必修科目，</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">数学采用不同级别的难度课程，分为</span><span style="font-family:Calibri">SSL(studies)</span><span style="font-family:宋体">，</span><span style="font-family:Calibri">SL(standard level)</span><span style="font-family:宋体">，</span><span style="font-family:Calibri">HL(high level)</span><span style="font-family:宋体">和</span><span style="font-family:Calibri">Further HL</span><span style="font-family:宋体">四个级别，难度也是依次递增的，学生可以根据自己的能力和兴趣来选择不同难度的数学进行学习。大多数学校都会开设</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">和</span><span style="font-family:Calibri">HL</span><span style="font-family:宋体">数学，不太擅长数学或者未来大学专业和数学关系不大的学生建议选择</span><span style="font-family:Calibri">Math SL</span><span style="font-family:宋体">，而数学能力中等偏上的学生则建议选择</span><span style="font-family:Calibri">Math HL</span><span style="font-family:宋体">，最后的成绩除了考试</span><span style="font-family:Calibri">(</span><span style="font-family:宋体">占比</span><span style="font-family:Calibri">80%)</span><span style="font-family:宋体">以外，学生还需要完成一篇长度为</span><span style="font-family:Calibri">10</span><span style="font-family:宋体">页左右的探究性报告</span><span style="font-family:Calibri">(</span><span style="font-family:宋体">占比</span><span style="font-family:Calibri">20%)</span><span style="font-family:宋体">，</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">数学比较注重学生的实际应用能力和探究性水平。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">IB<span style="font-family:宋体">数学</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">与</span><span style="font-family:Calibri">HL</span><span style="font-family:宋体">的区别</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px"><span style="font-family:宋体">教学内容：</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">SL<span style="font-family:宋体">数学具体分为以下六大知识板块：</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">1. <span style="font-family:宋体">代数</span><span style="font-family:Calibri">(Algebra)</span><span style="font-family:宋体">包括指数和对数运算、二项式展开和一些代数实际应用问题。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">2. <span style="font-family:宋体">函数</span><span style="font-family:Calibri">(Function)</span><span style="font-family:宋体">包括基本的定义域值域、反函数复合函数，函数的图像变换，几类典型函数如二次函数、分式函数、指数对数函数及计算器作图。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">3. <span style="font-family:宋体">三角函数</span><span style="font-family:Calibri">(Trigonometry)</span><span style="font-family:宋体">包括弧长与扇形面积计算，三角函数恒等定理、二倍角公式及正余弦定理，解三角函数方程等。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">4. <span style="font-family:宋体">向量</span><span style="font-family:Calibri">(Vector)</span><span style="font-family:宋体">包括二维三维向量的定义及运算、模长计算，向量的点乘、夹角，直线的向量表示形式及两直线位置关系</span><span style="font-family:Calibri">(</span><span style="font-family:宋体">平行、相交、异面</span><span style="font-family:Calibri">)</span><span style="font-family:宋体">。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">5. <span style="font-family:宋体">概率统计</span><span style="font-family:Calibri">(Statistic and probability)</span><span style="font-family:宋体">包括数据的分类</span><span style="font-family:Calibri">(</span><span style="font-family:宋体">离散和连续数据</span><span style="font-family:Calibri">)</span><span style="font-family:宋体">，描述数据集中性和离散程度的平均值、中位数、众数、方差、标准差，回归直线计算，概率计算、韦恩图与树状图、条件概率，二项式分布、正态分布等。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">6. <span style="font-family:宋体">微积分</span><span style="font-family:Calibri">(Calculus)</span><span style="font-family:宋体">包括微积分的定义和运算，求高阶导，参数函数的微分、利用积分求面积和体积及运动学中的应用。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">HL<span style="font-family:宋体">数学的教学内容和考试相对</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">要难一些，范围也比</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">多出不少。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">HL<span style="font-family:宋体">必修部分和</span><span style="font-family:Calibri">SL</span><span style="font-family:宋体">一样分为六个模块，但每个模块都在难度和广度上增加了内容：</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">1. <span style="font-family:宋体">代数</span><span style="font-family:Calibri">(Algebra)</span><span style="font-family:宋体">部分增加了数学归纳法证明和复数相关内容，复数的运算、复平面、极坐标、棣莫弗定理及其运用、共轭复数及在多项式中的运用。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">2. <span style="font-family:宋体">函数</span><span style="font-family:Calibri">(Function)</span><span style="font-family:宋体">部分增加了奇偶函数、绝对值函数、导数函数，高次函数图像、因数和余数定理、韦达定理，分式函数部分增加了高次除以高次函数。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">3. <span style="font-family:宋体">三角函数</span><span style="font-family:Calibri">(Trigonometry)</span><span style="font-family:宋体">增加了复合角公式、反三角函数及其图像、三角函数实际应用。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">4. <span style="font-family:宋体">向量</span><span style="font-family:Calibri">(Vector)</span><span style="font-family:宋体">增加了向量的叉乘，利用叉乘求三角形面积，平面的向量表示形式，直线与平面夹角、平面与平面夹角及三个平面间的位置关系。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">5. <span style="font-family:宋体">概率统计</span><span style="font-family:Calibri">(Statistic and probability)</span><span style="font-family:宋体">部分增加了排列组合的计算，概率密度函数及其在平均数和方差中的应用，概率分布的计算中增加了泊松分布。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px">6. <span style="font-family:宋体">微积分</span><span style="font-family:Calibri">(Calculus)</span><span style="font-family:宋体">增加了隐函数求导，导数的应用和分部积分等积分等内容。</span> </span><span style=";font-family:Calibri;font-size:14px"><br/></span> <span style=";font-family:Calibri;font-size:14px"><br/></span><span style=";font-family:Calibri;font-size:14px"><span style="font-family:宋体">另外</span><span style="font-family:Calibri">IB</span><span style="font-family:宋体">数学</span><span style="font-family:Calibri">HL</span><span style="font-family:宋体">除了必修课程之外，还有一个选修的部分要学习，共有四种不同的选择：分别为概率与统计</span><span style="font-family:Calibri">(statistics and probability),</span><span style="font-family:宋体">集合、关系与群论</span><span style="font-family:Calibri">(sets,relations and groups),</span><span style="font-family:宋体">级数和微分方程</span><span style="font-family:Calibri">(series and differential equations),</span><span style="font-family:宋体">离散数学</span><span style="font-family:Calibri">(discrete mathematics)</span><span style="font-family:宋体">，四个选项中可以选一个学习，其中微分方程的部分对于未来大学选择理工类专业的学生有帮助，而概率统计对于未来大学学习生物、心理、金融经济等专业的学生有帮助。</span></span></p><p><span style=";font-family:Calibri;font-size:14px">&nbsp;</span></p><p><br/></p>