请数学高手翻译翻译。高中数学口诀。
一.数学思想方法总论高中数学一线牵,代数几何两珠连;三个基本记心间,四种能力非等闲。常规五法天天练,策略六项时时变,精研数学七思想,诱思导学乐无边。一线:函数一条主线.(...
一.数学思想方法总论
高中数学一线牵,代数几何两珠连;
三个基本记心间,四种能力非等闲。
常规五法天天练,策略六项时时变,
精研数学七思想,诱思导学乐无边。
一线: 函数一条主线.(贯穿教材始终)
二珠: 代数.几何珠联璧合.(注重知识交汇)
三基: 方法(熟)知识(牢)技能(巧)
四能力: 概念运算(准确)逻辑推理(严谨)
空间想象(丰富)分解问题(灵活)
五法: 换元法、配方法、待定系数法、分析法、归纳法。
六策略: 以简驭繁,正难则反,以退为进,
化异为同,移花接木,以静思动。
七思想: 函数方程最重要,分类整合常用到,
数形结合千般好,化归转化离不了;
有限自将无限描,或然终被必然表,
特殊一般多辨证,知识交汇步步高。
二.数学知识方法分论:
集合与逻辑
集合逻辑互表里,子交并补归全集。
对错难知开语句,是非分明即命题;
纵横交错原否逆,充分必要四关系。
真非假时假非真,或真且假运算奇。
函数与数列
数列函数子母胎,等差等比自成排。
数列求和几多法?通项递推思路开;
变量分离无好坏,函数复合有内外。
同增异减定单调,区间挖隐最值来。
三角函数
三角定义比值生,弧度互化实数融;
同角三类善诱导,和差倍半巧变通。
解前若能三平衡,解后便有一脉承;
角值计算大化小,弦切相逢异化同。
方程与不等式
函数方程不等根,常使参数范围生;
一正二定三相等,均值定理最值成。
参数不定比大小,两式不同三法证;
等与不等无绝对,变量分离方有恒。
解析几何
联立方程解交点,设而不求巧判别;
韦达定理表弦长,斜率转化过中点。
选参建模求轨迹,曲线对称找距离;
动点相关归定义,动中求静助解析。
立体几何
多点共线两面交,多线共面一法巧;
空间三垂优弦大,球面两点劣弧小。
线线关系线面找,面面成角线线表;
等积转化连射影,能割善补架通桥。
排列与组合
分步则乘分类加,欲邻需捆欲隔插;
有序则排无序组,正难则反排除它。
元素重复连乘法,特元特位你先拿;
平均分组阶乘除,多元少位我当家。
二项式定理
二项乘方知多少,万里源头通项找;
展开三定项指系,组合系数杨辉角。
整除证明底变妙,二项求和特值巧;
两端对称谁最大?主峰一览众山小。
概率与统计
概率统计同根生,随机发生等可能;
互斥事件一枝秀,相互独立同时争。
样本总体抽样审,独立重复二项分;
随机变量分布列,期望方差论伪真。 展开
高中数学一线牵,代数几何两珠连;
三个基本记心间,四种能力非等闲。
常规五法天天练,策略六项时时变,
精研数学七思想,诱思导学乐无边。
一线: 函数一条主线.(贯穿教材始终)
二珠: 代数.几何珠联璧合.(注重知识交汇)
三基: 方法(熟)知识(牢)技能(巧)
四能力: 概念运算(准确)逻辑推理(严谨)
空间想象(丰富)分解问题(灵活)
五法: 换元法、配方法、待定系数法、分析法、归纳法。
六策略: 以简驭繁,正难则反,以退为进,
化异为同,移花接木,以静思动。
七思想: 函数方程最重要,分类整合常用到,
数形结合千般好,化归转化离不了;
有限自将无限描,或然终被必然表,
特殊一般多辨证,知识交汇步步高。
二.数学知识方法分论:
集合与逻辑
集合逻辑互表里,子交并补归全集。
对错难知开语句,是非分明即命题;
纵横交错原否逆,充分必要四关系。
真非假时假非真,或真且假运算奇。
函数与数列
数列函数子母胎,等差等比自成排。
数列求和几多法?通项递推思路开;
变量分离无好坏,函数复合有内外。
同增异减定单调,区间挖隐最值来。
三角函数
三角定义比值生,弧度互化实数融;
同角三类善诱导,和差倍半巧变通。
解前若能三平衡,解后便有一脉承;
角值计算大化小,弦切相逢异化同。
方程与不等式
函数方程不等根,常使参数范围生;
一正二定三相等,均值定理最值成。
参数不定比大小,两式不同三法证;
等与不等无绝对,变量分离方有恒。
解析几何
联立方程解交点,设而不求巧判别;
韦达定理表弦长,斜率转化过中点。
选参建模求轨迹,曲线对称找距离;
动点相关归定义,动中求静助解析。
立体几何
多点共线两面交,多线共面一法巧;
空间三垂优弦大,球面两点劣弧小。
线线关系线面找,面面成角线线表;
等积转化连射影,能割善补架通桥。
排列与组合
分步则乘分类加,欲邻需捆欲隔插;
有序则排无序组,正难则反排除它。
元素重复连乘法,特元特位你先拿;
平均分组阶乘除,多元少位我当家。
二项式定理
二项乘方知多少,万里源头通项找;
展开三定项指系,组合系数杨辉角。
整除证明底变妙,二项求和特值巧;
两端对称谁最大?主峰一览众山小。
概率与统计
概率统计同根生,随机发生等可能;
互斥事件一枝秀,相互独立同时争。
样本总体抽样审,独立重复二项分;
随机变量分布列,期望方差论伪真。 展开
5个回答
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Accompany high school mathematics, algebra, geometry two beads connected;
Between three basic mind heart, four non-trivial capacity.
Conventional five law practice every day, six strategies always changing,
Lapping mathematical seven thinking, thinking Guidance Endless lure.
Line: function main line (through textbooks always).
Two beads: the perfect pair of algebraic geometry (focus on knowledge intersection).
Three groups: Method (cooked) knowledge (prison) skills (clever)
Four capabilities: Concepts computing (accurate) logical reasoning (strict)
Spatial imagination (rich) decomposition problem (flexible)
Five law: change element method with method of undetermined coefficients, analysis, inductive method.
Six strategies: to Jane Yu Fan, being difficult is reversed, to retreat,
Of the differences for the same, deceitful, to meditate move.
Seven thought: The most important function equation, classification used to integrate,
Shuxingjiege offer all kinds of good, not from the conversion of normalized;
Since the infinite finite description, contingent eventually inevitable table,
Special syndrome more generally, knowledge interchange backgammon.
A collection of logical interaction table, and make the child pay return Complete Works .
Difficult to know right from wrong opening statement , that is non- distinct propositions ;
No crisscross the original inverse relationship between the four necessary and sufficient .
True false false non- non- true, or true and false operators odd .
Function of the number of columns
The number of columns function sub womb from arithmetic geometric rows .
How many columns summation method general term recursion idea to open ? ;
No bad separation of variables , functions, complex internal and external .
Monotonically with increasing differences less fixed , interval implicit dig the most value .
Trigonometric
Triangle defined as the ratio students, rad intermetallic real melting ;
Same angle induced three types of good and poor half times clever workaround .
Three former solution if equilibrium solution after a pulse Cheng ;
Dahua small angle value , cut the strings meet with alienation .
Equations and Inequalities
Function equation ranging roots, often makes the parameter range raw ;
A positive two given three equal, the most value to the mean value theorem .
Parameter uncertainty than the size of two different three methods type certificate ;
Etc. and unequal no absolute separation of variables Fangyou Heng .
Analytic Geometry
Simultaneous equations intersection , clever design rather than seeking judgment ;
Vieta theorem chord table , slope transformed midpoint.
Select reference trajectory modeling demand curve symmetrical look away ;
Related to the definition of normalized fixed point , moving in order to quiet help resolve .
Solid Geometry
Multi-point collinear two personally , multi-line coplanar a clever method ;
Space three vertical chord excellent large spherical two minor arc small .
Line Line Line side to find the relationship , all things into diagonal line table ;
Authalic even projective transformation can rack up good cut through the bridge .
Permutations and combinations
Then multiply the classification step increase , I want to wish every neighborhood needs bundle plug ;
Ordered ranked disorder group , the anti exclude it being difficult .
Even repeated multiplication of elements , particularly yuan special place you acquire ;
In addition to average packet factorial , multi- headed little bit me .
Binomial theorem
Know a power of two , Miles general term to find the source ;
Expand the term refers to the Department of Sanding combination coefficient Pascal corner .
Divisible proof bottom becomes wonderful, two clever summation of special value ;
Who is the greatest ends of symmetry ? Peak list of small hills .
Probability and Statistics
Probability and Statistics from the same root , may occur randomly , etc. ;
Show a mutually exclusive events , independent of each other at the same time fight .
Sample population sample trial , repeat two separate points ;
Column distributed random variables , expected variance on the pseudo- true.
Between three basic mind heart, four non-trivial capacity.
Conventional five law practice every day, six strategies always changing,
Lapping mathematical seven thinking, thinking Guidance Endless lure.
Line: function main line (through textbooks always).
Two beads: the perfect pair of algebraic geometry (focus on knowledge intersection).
Three groups: Method (cooked) knowledge (prison) skills (clever)
Four capabilities: Concepts computing (accurate) logical reasoning (strict)
Spatial imagination (rich) decomposition problem (flexible)
Five law: change element method with method of undetermined coefficients, analysis, inductive method.
Six strategies: to Jane Yu Fan, being difficult is reversed, to retreat,
Of the differences for the same, deceitful, to meditate move.
Seven thought: The most important function equation, classification used to integrate,
Shuxingjiege offer all kinds of good, not from the conversion of normalized;
Since the infinite finite description, contingent eventually inevitable table,
Special syndrome more generally, knowledge interchange backgammon.
A collection of logical interaction table, and make the child pay return Complete Works .
Difficult to know right from wrong opening statement , that is non- distinct propositions ;
No crisscross the original inverse relationship between the four necessary and sufficient .
True false false non- non- true, or true and false operators odd .
Function of the number of columns
The number of columns function sub womb from arithmetic geometric rows .
How many columns summation method general term recursion idea to open ? ;
No bad separation of variables , functions, complex internal and external .
Monotonically with increasing differences less fixed , interval implicit dig the most value .
Trigonometric
Triangle defined as the ratio students, rad intermetallic real melting ;
Same angle induced three types of good and poor half times clever workaround .
Three former solution if equilibrium solution after a pulse Cheng ;
Dahua small angle value , cut the strings meet with alienation .
Equations and Inequalities
Function equation ranging roots, often makes the parameter range raw ;
A positive two given three equal, the most value to the mean value theorem .
Parameter uncertainty than the size of two different three methods type certificate ;
Etc. and unequal no absolute separation of variables Fangyou Heng .
Analytic Geometry
Simultaneous equations intersection , clever design rather than seeking judgment ;
Vieta theorem chord table , slope transformed midpoint.
Select reference trajectory modeling demand curve symmetrical look away ;
Related to the definition of normalized fixed point , moving in order to quiet help resolve .
Solid Geometry
Multi-point collinear two personally , multi-line coplanar a clever method ;
Space three vertical chord excellent large spherical two minor arc small .
Line Line Line side to find the relationship , all things into diagonal line table ;
Authalic even projective transformation can rack up good cut through the bridge .
Permutations and combinations
Then multiply the classification step increase , I want to wish every neighborhood needs bundle plug ;
Ordered ranked disorder group , the anti exclude it being difficult .
Even repeated multiplication of elements , particularly yuan special place you acquire ;
In addition to average packet factorial , multi- headed little bit me .
Binomial theorem
Know a power of two , Miles general term to find the source ;
Expand the term refers to the Department of Sanding combination coefficient Pascal corner .
Divisible proof bottom becomes wonderful, two clever summation of special value ;
Who is the greatest ends of symmetry ? Peak list of small hills .
Probability and Statistics
Probability and Statistics from the same root , may occur randomly , etc. ;
Show a mutually exclusive events , independent of each other at the same time fight .
Sample population sample trial , repeat two separate points ;
Column distributed random variables , expected variance on the pseudo- true.
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您真逗。拿我开心了?不过我把那个不生气。嘿嘿嘿。
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话说,我还真不知道有这么一个口诀,不应该说我和我以前的同学都不知道,不过看了一下,的确基本上覆盖了高中所有的知识点,但是我个人觉得它并没有分重点与非重点,要知道,重点与非重点之间的区分是非常重要的,这直接关系到拿分的多少与学习效率问题,我们都是应试教育,有限的时间大提高分数才是重要的。我建议你直接搞个错题集,写上自己当时的思路与正确的思路,多拿出来看看,这样效率比较高
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2013-11-29
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多做题,做不同类型的题,多做总结,形成自己的解题思路
奋斗吧,少年
奋斗吧,少年
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你要翻译成英语?哪些地方不懂的重点说一下
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