2021年高三数学知识点总结.pdf
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1、1/17 全日制普通高级中学教科书数学目录第一册上第一章集合与简易逻辑一集合11集合12 子集、全集、补集13交集、并集14含绝对值的不等式解法15一元一次不等式解法阅读材料集合中元素的个数二简易逻辑16逻辑联结词17四种命题18充分条件与必要条件小结与复习复习参考题一第二章函数一函数21函数22函数的表示法23函数的单调性24反函数二指数与指数函数25指数26指数函数三对数与对数函数27对数阅读材料对数的发明28对数函数29函数的应用举例阅读材料自由落体运动的数学模型实习作业建立实际问题的函数模型小结与复习复习参考题二第三章数列31数列32等差数列33等差数列的前 n 项和阅读材料有关储蓄的
2、计算34等比数列35等比数列的前 n 项和研究性学习课题:数列在分期付款中的应用|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 1 页,共 17 页2/17 小结与复习复习参考题三附录部分中英文词汇对照表第一册下第四章三角函数一任意角的三角函数41角的概念的推广42弧度制43任意角的三角函数阅读材料三角函数与欧拉44同角三角函数的基本关系式45正弦、余弦的诱导公式二两角和与差的三角函数46两角和与差的正弦、余弦、正切47二倍角的正弦、余弦、正切三三角函数的图象和性质48正弦函数、余弦函数的图象和性质49函数()的图象410正切函数的图象和性质41
3、1已知三角函数值求角阅读材料潮汐与港口水深小结与复习复习参考题四第五章平面向量一向量及其运算51向量52向量的加法与减法53实数与向量的积54平面向量的坐标运算55线段的定比分点56平面向量的数量积及运算律57平面向量数量积的坐标表示58平移阅读材料向量的三种类型二解斜三角形59正弦定理、余弦定理510解斜三角形应用举例实习作业解三角形在测量中的应用阅读材料人们早期怎样测量地球的半径?研究性学习课题:向量在物理中的应用小结与复习复习参考题五|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 2 页,共 17 页文档编码:CQ8B2K4E9G9 HM8
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8、3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编
9、码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9
10、 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B103/17 附录部分中英文词汇对照表第二册上第六章不等式61不等式的性质62算术平均数与几何平均数63不等式的证明64不等式的解法举例65含有绝对值的不等式阅读材料n个正数的算术平均数与几何平均数小结与复习复习参考题六第七章直线和圆的方程71直线的倾斜角和斜率72直线的方程73两条直线的位置关系阅读材料
11、向量与直线74简单的线性规划研究性学习课题与实习作业:线性规划的实际应用75曲线和方程阅读材料 笛卡儿和费马76圆的方程小结与复习复习参考题七第八章圆锥曲线方程81椭圆及其标准方程82椭圆的简单几何性质83双曲线及其标准方程84双曲线的简单几何性质85抛物线及其标准方程86抛物线的简单几何性质阅读材料 圆锥曲线的光学性质及其应用小结与复习复习参考题八附录部分中英文词汇对照表第二册下 A 册第九章直线、平面、简单几何体91平面92空间直线93直线与平面平行的判定和性质94直线与平面垂直的判定和性质95两个平面平行的判定和性质96两个平面垂直的判定和性质|精.|品.|可.|编.|辑.|学.|习.|
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16、 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5
17、ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文
18、档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B104/17 97棱柱98棱锥阅读材料柱体和锥体的体积研究性学习课题:多面体欧拉定理的发现阅读材料欧拉公式和正多面体的种类99球小结与复习复习参考题九第十章排列、组合和二项式定理101分类计数原理
19、与分步计数原理102排列103组合阅读材料从集合的角度看排列与组合104二项式定理小结与复习复习参考题十第十一章概率111随机事件的概率112互斥事件有一个发生的概率113相互独立事件同时发生的概率阅读材料抽签有先有后,对个人公平吗?小结与复习复习参考题十一附录部分中英文词汇对照表第二册下册B 册第九章直线、平面、简单几何体一空间的直线与平面9.1平面的基本性质9.2空间的平行直线与异面直线9.3直线和平面平行与平面和平面平行9.4直线和平面垂直二空间向量9.5空间向量及其运算9.6空间向量的坐标运算三夹角与距离9.7直线和平面所成的角与二面角9.8距离阅读材料向量概念的推广与应用四简单多面体
20、育球9.9棱柱与棱锥研究性学习课题:多面体欧拉定理的发现阅读材料欧拉公式和正多面体的种类|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 4 页,共 17 页文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5M7N4B10文档编码:CQ8B2K4E9G9 HM8L5H5S8V5 ZP3I5
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