equation of a straight line in intercept form and sketch graphs
A-level数学词汇(P1-P4)
Pure mathematics 1 1 Algebraic expression 代数表达式Index laws 指数定律Indices (index的复数形式) 指数Notation 注释Simplify 化简Power 指数Base 底Exponent 指数Expression 表达式Term 项Numerator 分子Expand 展开Possible 可能Fraction 分数Bracket 括号Product 乘积Multiply 乘Collecting like terms 合并同类项Linear 一次的Diagram 图形Rectangle 长方形Square 正方形Length 长度Width 宽Side length 边长Area 面积Shade 阴影Cuboid 长方体Dimension 维Show that 证明V olume 体积Given that 已知Constant 常数Value 值Factorize 因式分解Factor 因子Opposite 相反的Completely 完全地Common factor 公因式Quadratic 二次的Form 形式Real number 实数Positive 正的Negative 负的Include 包含Surd 无理数Add 加Sum 和Take out 提取Difference 差Difference of two squares 平方差Cancel 取消，相互抵消Similarly 同样的Rational 有理的Rational number 有理数Integer 整数Square root 平方根Evaluate 求…的值Substitute 代替Calculator 计算器Square number 平方数Irrational number 无理数Decimal 小数的Expansion 展开式Never-ending 无限的Never repeat 不循环的Exact 准确的Answer 答案Manipulate 操作Denominator 分母Rationalizing denominator 分母有理化Rearrange 调整Prime 质数Work out 计算Hence 然后Fully 完全地State 陈述Solve 解决Equation 方程2 Quadratics 二次方程式Quadratic equation 二次方程Solution 解Real solution 实根Set 设置Root 根Distinct 不同的Repeated root 重根Case 情况Straightforward 简单直接的Symbol 符号Plus 加，正Minus 减，负Factorization 因式分解Shape 形状Section 部分Formula 公式Reading off 读取Coefficient 系数Necessary 必要的Significant figures 有效数字Choose 选择Suitable 适当的Method 方法Trapezium 梯形Height 高Discard 丢弃Completing the square 完全平方（配方）Frequently 经常的Useful 有用的Process 过程Original 最初的Determine 决定Otherwise 另外Function 函数Mathematical 数学上的Relationship 关系Map 映射Set 集合Input 输入Output 输出Single 单一的Notation 符号Represent 代表Domain 定义域Range 值域，范围Member 成员Define 定义Minimum 最小的Occur 发生Explain 解释Consider 考虑Graph 图像Curve 曲线Parabola 抛物线Sketch 画图Identify 确定Key 关键的Feature 特征Overall 整体的Cross 交叉，横过Axis 轴Coordinate 坐标Turning point 转折点（顶点）Maximum 最大的Since 因为Symmetrical 对称的Symmetry 对称性Line of symmetry 对称轴Half-way 位于中途的Explore 探测Technology 技术Plot 绘制Scale 刻度However 但是，不管怎样Smooth 平滑的Relevant 相关的Intercept 截距Label 标记Axes (axis的复数)坐标轴Discriminant 判别式Sign 符号Check 核实Inequality 不等式Calculate 计算Match 匹配Prove 证明Algebra 代数学Diver 跳水运动员Launch 发射Springboard 跳板Meter 米Pool 水池Second 秒Model 模型High 高的Hit 撞击Reach 达到Non-zero 非零3 Equations and inequalities 方程和不等式Simultaneous 联立的Linear simultaneous equations 一次方程组Elimination 消元法Substitution 置换Quadratic simultaneous equations 二次方程组Up to 直到，多达Make sure 确保Correctly 正确地Simplest 最简的Graphically 以图表形式As 因为Satisfy 满足Intersection 相交Simultaneously 同时地Intersect 相交Once 一次Twice 两次Result 结果，导致Produce 产生Graph paper 坐标纸Accurately 准确地Verify 验证Linear inequalities 一次不等式Set notation 集合符号Number line 数轴Overlap 重叠Separately 单独地Illustrate 图解，阐明Quadratic inequalities 二次不等式Corresponding 相应的Critical 临界的Require 要求Describe 描述Interpret 解释Region 区域，范围Coordinate grid 坐标网Dotted line 虚线Solid line 实线Vertex 顶点Vertices (vertex的复数)顶点Within 在内部，之内4 Graphs and transformations 图像和转换Cubic 三次的Cubic function 三次函数Several 几个Depend on 取决于Touch 接触Coordinate axes 坐标轴Indicate 表明，显示Reciprocal 倒数的Reciprocal function 反比例函数Such as 例如Asymptote 渐近线Approach 接近Reach 到达Quadrant 象限Point of intersection 交点Steeper 更陡峭的Eventually 最后，终于Reason 理由，原因Appropriate 恰当的Number 数量Translate 平移Transform 改变Alter 改动Subtract 减Outside 在外面Vertically 竖直地Translation 平移Vector 矢量Horizontally 水平地Direction 方向In terms of 用…来表示Slide 滑动Stretch 伸缩Scale factor 比例系数Double 两倍Halve 减半，对分Inside 在里面Triple 三倍的Reflection 反射(镜面对称) Alternatively 二选一Parallel 平行Lie on 坐落在Pass through 穿过Apply 应用Unfamiliar 陌生的，不熟悉的Specific 特殊的Origin 原点Position 位置Image 像Suggest 提议Mark 标记5 Straight line graphs 直线图像Gradient 斜率Straight line 直线Join 连接Distance 距离Formula 公式Collinear 共线的Intercept 截距Define 定义Either 两者中的任一个Condition 条件Triangle 三角形General equation 一般式Parallel 平行Perpendicular 垂直Whether 是否Quadrilateral 四边形Trapezium 梯形Right angle 直角Congruent 全等的Neither 两者都不Hypotenuse 直角三角形斜边Line segment 线段Scalene 不等边的Respectively 分别地Go through 通过6 Trigonometric ratios 三角比Cosine rule 余弦定理Miss 缺失Version 版本Exchange 交换Standard 标准Prove 证明Opposite 对边Adjacent 邻边Pythagoras’ theorem 勾股定理Letter 字母Round 四舍五入Final 最终的Coastguard 海岸警卫队Station 驻地Bearing 方位Away from 远离Appropriate 适当的Mark 标记Airport 机场Due north 正北Due east 正东Due west 正西Due south 正南Sail 航行Helicopter 直升飞机Tee 球座Flag 旗Particular 特定的Hole 孔，洞Golf course 高尔夫球场Yard 码（1码=3英尺）Tee shot 发球台Land 着陆Largest 最大的Farmer 农场Field 场地Fence 栅栏Cargo 货物Plane 平面Kilometer 千米Sine rule 正弦定理Refer to 涉及Data 数据Remain 剩余Located on 坐落于Zookeeper 动物管理员Enclosure 围场Llama 骆驼Diagonal 对角线Surveyor 检验员Measure 测量Elevation 高程，仰角Apart 相距Assumption 假设Mathematical 数学的Model 模型Obtuse 钝角Acute 锐角Isosceles 等腰的Circle 圆Radius 半径Centre 圆心Least 最小的Instead 代替Crane 吊车Anchored 固定Wreck 破坏Suspend 悬挂Cable 缆绳Rotate 旋转Level 对准Proof 证明Triangular plot 三角图Involve 涉及Trigonometry 三角函数Encounter 遇到Decide 决定Mast 桅杆In order that 为了Interfere 干扰Efficient 有效的Hiker 徒步旅行者Radar 雷达Perimeter 周长Tangent 正切Periodic 周期性的Repeat 重复的Certain 确定的Interval 间距Period 周期Undefined 无意义的Knowledge 知识Periodicity 周期性Verify 证明Variation 变化Rock pool 潮汐潭Midday 中午During 在…期间Non-exact 非精准的Significant figure 有效数字Windmill 风车Sail 帆Tower 塔Deduce 推导Dune 沙丘Realistic 现实的7 Radians 弧度Radian 弧度So far 到目前为止Probably 大概，可能Degree 度Revolution 循环Around 围绕Circle 圆Subtend 朝着Arc 圆弧Circumference 周长Convert 转换Without 没有Multiple 倍数Arc length 弧长Sector 扇形Radius 半径Contain 包含Perimeter 周长Border 边界Pond 池塘Consist 由…组成Edge 边缘Minor arc 劣弧Major arc 优弧Chord 弦Diameter 直径Template 模板Brooch 胸针Ferris wheel 摩天轮Pod 蚕茧，豆荚Estimate 估计Speed 速率Patio 露台Lawn 草坪Design 设计Earring 耳环Nearest 最近点（精确到）Segment 弓形Radii (radius的复数形式) A plot of …的一块Erect 建造Along 沿着Subtract 减Tangent 切线Ratio 比例Bound 关，围入Decimal place 小数Midpoint 中点Semicircular 半圆Drawer 抽屉Handle 把手Difference 差Badge 徽章Equilateral 等边的Railway 铁路Track 轨迹Prism 三棱镜Attempt 尝试Mistake 错误8 Differentiation 微分Gradient 斜率Constantly 不断地Although 然而Comment on 对…评论Copy 抄写，复制Complete 完成Table 表格Hypothesis 假设Derivative 导数Principle 原理Detail 细节Account 解释Originate 起源Formalize 确定，形成Approach 方式，方法Limit 极限Tend to 趋向Gradient function 斜率函数Evaluate 求…的值Fixed value 定值Limiting value 定值Definition 定义One-at-a-time 一次一个Turning point 转折点（顶点）Slope 斜率Disappear 消失Polynomial 多项式Normal 切线First order derivative 一阶导数Second order derivative 二阶导数Rate of change 变化率Respect to 关于Displacement 位移Acceleration 加速度Local 局部的9 Integration 积分Reverse 相反的Differ 不同Integrate 求积分Integral 积分Indefinite 不确定的Indefinite integral 不定积分Elongated 拉长的，伸长的Arrow 箭Fire 射击Castle 城堡Drop off 下降Cliff 悬崖Cyclist 骑行者Pure mathematics 2 1Algebraic methods 代数方法Division 除法Dividing polynomial 多项式除法Finite 有限的Whole number 整数Long division 长除法Quotient 商Remainder 余数Factor theorem 因式定理Remainder theorem 余数定理Logical 逻辑的Structured 有组织的Argument 论据Statement 命题Conjecture 猜想Previously 预先Establish 建立Deduction 推导Desired 想要的Conclusion 结论Odd number 奇数Demonstration 示范，演示Even number 偶数Identical 完全相等的Identity 恒等式Parallelogram 平行四边形Rhombus 菱形Congruent 全等的Exhaustion 穷举法Consecutive 连续的Square number 平方数Break into 拆分Is suited to 适合于Disprove 反驳Counter-example 反例Sufficient 充分的Prime number 质数Divisible 可整除的Either … or…二者择一的Cube number 立方数Hold 有效Claim 宣称Opposite edge 对边Hexagon 六边形Regular hexagon 正六边形Side length 边长Reason 原因2Coordinate geometry in the (x,y) plane 解析几何Bisector 二等分线Perpendicular bisector 中垂线Averaging 求平均值Endpoint 端点Circumcentre 外心Equidistant 等距的Fixed point 定点Vector 向量Property 性质Unique 独一无二的Circumcircle 外接圆3Exponentials and logarithms 指数和对数Exponential 指数的Decrease 减小Increase 增加Smooth 光滑的，平滑的Increasing function 增函数Decreasing function 减函数Justify 证明Logarithms 对数Specific 特定的Button 按钮Typically 典型的Natural logarithms 自然对数Instance 实例Multiplication law 乘法定律Division law 除法定律Power law 指数定律Recognize 识别Attention 注意Condition 条件Complicated 复杂的Whenever 无论何时Convenient 方便的Suppose 假设Notice 注意Particular 特别的4The binomial expansion 二项式展开Binomial 二项式Pascal’s triangle 杨辉三角（帕斯卡三角形）Immediately 直接地Pattern 图案Adjacent 相邻的Investment 投资Interest rate 利率Annum 年，岁Approximation 近似值Ignore 忽略Factorial notation 阶乘Combination 组合Superscript 上标Subscript 下标Probability 可能性Toss 投Likelihood 可能性Ascending powers 升幂Individual 个别的Estimation 估值Engineering 工程学Science 科学Percentage error 百分误差Microchip 微型集成电路片Faulty 有缺点的Chip 芯片Restrict 限制Achieve 达到School fair 学校园游会Prize 奖赏Digit 数字Display 显示5Sequences and series 数列和级数Arithmetic sequence 等差数列Arithmetic progression 等差数列Common difference 公差Arithmetic series 等差级数（等差数列前n 项求和）Exceed 超过Inclusive 包含的Stick 棒子Pentagon 五角形Geometric sequences 等比数列Geometric progression 等比数列Common ratio 公比Converge 收敛Alternating sequence 交错数列Million 百万Geometric series 等比级数（等比数列前n项求和）Sum to infinity 无限项求和Divergent 发散的Convergent 收敛的Recurring 循环的Sigma notation 求和符号Capital 首都，大写字母Signify 表示Recurrence relations 递推关系Previous term 前一项First term 初项Generate 生成，产生Periodic sequence 周期数列Period 周期Salary 薪水Profit 利润Predict 预言Annual 年度的Business 商业Financial 金融的Advisor 顾问Fold 折叠Thickness 厚度Unrealistic 不切实际的Investor 投资人Account 账户Thereafter 以后Deposit 存款，定金Wage 工资Rise 上升Gear 齿轮Successive 连续的Intermediate 中间的Valuable 有价值的Commission 佣金Insurance 保险Policy 政策Prospector 勘探者Drill 钻孔Subsequent 随后的Available 可获得的Payment 报酬Virus 病毒Infect 传染Diagnose 诊断Overfish 过度捕捞Chess 象棋Chessboard 棋盘Sponsored 赞助的Polygon 多边形Appointment 约会，任命6Trigonometric identities and equations 三角恒等式和方程Unit circle 单位圆Anticlockwise 逆时针Quadrant 象限Equivalent 相等的Equilateral triangle 等边三角形Isosceles right-angled triangle 等腰直角三角形Identity 恒等式Reflex 优角(大于180度，在第三、四象限)Principal value 主值Inverse trigonometric function 反三角函数Justification 理由7Differentiation 微分Strictly 严格地Interval 区间Stationary point 驻点Local maximum 局部最大Greatest value 最大值Local minimum 局部最小Least value 最小值Point of inflection 拐点，反曲点Immediate 最接近的Vicinity 邻近，附近Second derivative 二次求导Rate of change 改变的快慢Convex 凸Concave 凹Establish 建立，证实Liter 升Instant 瞬间Tank 水槽Cuboid 长方体的Sheet 薄片Metal 金属Sphere 球体Displacement 位移Cylinder 圆柱体Perimeter 周长Semicircular 半圆的Semicircle 半圆Frame 框架Split 分离，分开Motion 运动Damped 阻尼Spring 弹簧Bent 弯的Biscuit 饼干Tin 罐头Close-fitting 紧贴的Lid 盖子Thin 薄的，瘦的Wastage 损耗Obtain 获得Percentage 百分比Store 储存Capacity 容量Container 容器Calculus 微积分学8Integration 积分Definite integral 定积分Indefinite integral 不定积分Whereas 反之，然而Upper limit 上限Lower limit 下限Square bracket 中括号Magnitude 大小Negligible 可忽略的Straddle 跨坐Unless 除非Complicated 复杂的Trapezium 梯形Trapezium rule 梯形法则Beneath 在…下面Strip 条，带Boundary 边界Adjacent 相邻的Improve 改善Accuracy 精确度Approximation 近似值Underestimate 低估Overestimate 高估Compare 比较Pure mathematics 3 Common multiple 公倍数Improper fraction 假分数Partial fractions 部分分数Degree 次数Modulus function 模函数Absolute value 绝对值Argument 辐角Set notation 集合符号Piecewise-defined function 分段函数Composite function 复合函数Inverse function 反函数Secant 正割Cosecant 余割Cotangent 余切Interval 区间Symmetry 对称性Symmetrical 对称的Chord 弦Inverse trigonometric function 反三角函数Addition formulae 加法公式Compound-angle formulae 复合角公式Double-angle formulae 二倍角公式Round 四舍五入Exponential function 指数函数Natural logarithms 自然对数Trend 趋势Outlier 极值Chain rule 链式法则Product rule 乘法法则Quotient rule 除法法则Continuous 连续的Fixed point iteration 定点迭代Successive 连续的Converge 收敛Staircase diagram 梯形图Cobweb diagram 网状图Diverge 发散Pure mathematics 4 Contradiction 反驳Assert 主张Falsehood 虚假Negation 反论Prime number 质数Split 分解Separate 独立的Parametric equation 参数方程Variable 变量Parameter 参数Revolution 循环Plot 绘图Valid 有效的As long as 只要Condition 条件Accurate 精确的Ascending 上升的Approximation 近似值Implicit differentiation 隐函数微分Explicitly 明确的Implicit 隐含的Rate of change 变化率Hemisphere 半球Cylindrical 圆柱形的Conical 圆锥形的Concave 凹Convex 凸Integrand 被积函数Integration by substitution 换元积分法Integration by part 分部积分法Polynomial 多项式Separating the variables 分离变量General solution 通解Boundary condition 边界条件Directed line segment 有向线段Parallelogram 平行四边形Unit vector 单位向量Column vector 列向量Position vector 位置矢量Scalene 不等边的21Clockwise 顺时针Anticlockwise 逆时针Coplanar 共面的Parallelepiped 平行六面体Trisect 三等分Hexagon 六边形Regular hexagon 正六边形Direction vector 方向向量Anchor 固定Dot product 点乘22。
Eyring equation - Wikipedia
Notes
References
1. Chapman & Enskog 1939
Evans, M.G.; Polanyi M. (1935). "Some applications of the transition state method to the calculation of reaction velocities, especially in solution". . : 875–894. doi:10.1039/tf935vation
entropy of activation
A certain chemical reaction is performed at different temperatures and the reaction rate is determined. The plot of versus gives a straight line with slope from which the enthalpy of activation can be derived and with intercept from which the entropy of activation is derived.
Eyring–Polanyi equation
aka
from statistical thermodynamics in the kinetic theory of gases.[1]
Contents
1 2 3 4 5 General form Accuracy Notes References External links
General form
The general form of the Eyring–Polanyi equation somewhat resembles the Arrhenius equation: where Δ ‡ is the Gibbs energy of activation, It can be rewritten as:
初二数学函数英语阅读理解20题
初二数学函数英语阅读理解20题1<背景文章>Linear functions are an important concept in mathematics. A linear function is a function whose graph is a straight line. The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.The slope of a line determines how steep the line is. If the slope is positive, the line goes up as you move from left to right. If the slope is negative, the line goes down. The y-intercept is the point where the line crosses the y-axis.The graph of a linear function is always a straight line. This means that for any two points on the line, the change in y divided by the change in x is always the same. This ratio is called the slope.For example, consider the function y = 2x + 3. Here, the slope is 2 and the y-intercept is 3. This means that for every increase of 1 in x, y will increase by 2. And when x = 0, y = 3.Linear functions have many applications in real life. For instance, they can be used to model the relationship between distance and time, or the cost of an item and the number of items purchased.1. What is the general form of a linear function?A. y = mxB. y = mx + bC. y = bD. y = x + b答案：B。
函数英语作文
函数英语作文In the realm of mathematics, functions serve as the backbone of countless calculations and theoretical frameworks. They are the heart of algebra, the pulse of calculus, and the soul of computer science. Let's delve into the essence of functions and their significance in the world of mathematics.Definition and EssenceA function, in its simplest form, is a rule that assigns a unique output to each input from a set of numbers. It is denoted by \( f(x) \), where \( f \) is the function and \( x \) is the variable. The relationship between the input and output is defined by the function's equation, which can be linear, quadratic, exponential, or any other form.Applications in AlgebraIn algebra, functions are used to solve equations and inequalities. They help in understanding the behavior of variables and their relationships. For example, a linear function \( f(x) = mx + b \) can represent a straight line, where \( m \) is the slope and \( b \) is the y-intercept.Importance in CalculusCalculus, the study of change, relies heavily on functions. Derivatives and integrals are operations that deal withfunctions to find rates of change and accumulation, respectively. The derivative of a function \( f(x) \), denoted as \( f'(x) \) or \( \frac{df}{dx} \), measures how the function changes as \( x \) changes.Relevance in Computer ScienceIn computer science, functions are fundamental building blocks of programming. They encapsulate reusable code that can be called multiple times with different inputs. This modularity is crucial for creating complex software systems.Graphical InterpretationGraphically, functions can be represented on a coordinate plane. The x-axis represents the input values, and the y-axis represents the output values. The shape of the graph can provide insights into the function's behavior, such as whether it is increasing or decreasing, concave up or down, and if it has any asymptotes.ConclusionFunctions are not just abstract mathematical constructs; they are powerful tools that permeate every aspect of our lives. From predicting the trajectory of a projectile to modeling population growth, understanding functions is key to unlocking the mysteries of the universe and solving real-world problems. As we continue to explore the vast expanse of mathematics, the role of functions will only grow in importance and complexity.。
作用的英文
作用的英文FunctionFunction is an essential concept in mathematics. It is a relationship or correspondence between a set of inputs and a set of outputs. A function takes one or more inputs and produces a single output based on a defined rule or algorithm.Functions can be found in various areas of mathematics, including algebra, calculus, and statistics, as well as in other fields such as physics, economics, and computer science. They are used to describe relationships between variables, analyze data, model real-world phenomena, and solve problems.In algebra, functions are represented by equations. The most common form of a function is a linear equation, which has the form y = mx + b, where m is the slope of the line and b is the y-intercept. This equation describes a straight line relationship between the input variable x and the output variable y. Functions can also be quadratic, exponential, logarithmic, trigonometric, or any other type of equation that defines a relationship between variables.Calculus uses functions to analyze rates of change and to determine areas under curves. The derivative of a function represents the rate at which the output of the function is changing with respect to the input. It is used to calculate slopes of tangent lines and to find maximum and minimum values of functions. The integral of a function represents the area between the function and the x-axis. It is used to calculate areas, volumes, and accumulatedquantities.Statistics uses functions to describe and analyze data. The mean, median, and mode are functions that summarize the central tendency of a set of values. The standard deviation and variance are functions that measure the spread or variability of a dataset. Probability distributions, such as the normal distribution, are functions that describe the likelihood of different outcomes or events.In physics, functions are used to describe the behavior of physical systems. For example, the position of an object as a function of time can be represented by a function. The velocity and acceleration of an object can be obtained by taking the derivative of its position function. The force on an object can be calculated using Newton's second law, which is a function that relates force, mass, and acceleration.In economics, functions are used to model and analyze economic relationships. The demand function represents the quantity of a good or service that consumers are willing and able to buy at different prices. The supply function represents the quantity of a good or service that producers are willing and able to sell at different prices. The price function represents the equilibrium price at which supply equals demand.In computer science, functions are used to organize and modularize code. A function can be thought of as a black box that takes inputs, performs some computation, and produces outputs. Functions can be reused and combined to create more complex programs. Theyare an essential building block in software development.In conclusion, functions are an essential concept in mathematics and have a wide range of applications in various fields. They are used to describe relationships, analyze data, model real-world phenomena, and solve problems. Functions provide a framework for understanding and manipulating mathematical and non-mathematical concepts.。
英语数学词汇1
Gradient(slope)
Steepness of the line The distance from A and B is
斜率
Distance formula
AB
Midpoint formula Slope formula Horizontal step
x2 x1 y2 y1
The dashed line in the graph
对称轴
Turing point / vertex Translation
The highest or lowest point of a parabola Move the graph but not change the shape
顶点 平移变换
无定义的 共线的、共轴的 水平线 垂直线 直线方程 斜截式（斜率截距 式） 一般式 x 轴截距 y 轴截距 交点 Chinese meaning 记号 列表格 区分 对应的 抛物线 圆锥曲线
E’DE Open upwards 开口向上
【独家】Alevel数学Statistic1(S1)考试知识点
Summary of key points in S1Chapter 1： Binomial distribution1. （重点*＊*）计算二项分布的概率：(1）公式法（**)，由),(~p n B X ，则有x n x n x p p x X P --==)1()()( （2）查表法（＊**）：利用书中135-139页中的)()(x X P x F ≤=，其中p 是0。
05的倍数、一直到0.50，n 最小是5、最大是50。
2。
（重点＊*）计算二项分布的期望和方差：),(~p n B X ，则有np X E =)( )1()(p np X Var -=3. （考点＊）二项分布的条件：● A fixed number of trials,n .● Each trial should be success or failure 。
● The trials are independent 。
● The probability of success,p ， at each trial is constant 。
其中，n 为指数（index ）,p 为参数（parameter ）。
难点是要求根据题意写出二项分布的条件,如果有题意背景的，要根据题意写。
4. (考点＊）如果),(~p n B X ,其中5.0>p ，则)1,(~p n B Y -，那么5.01≤-p ；如果p 是0.05的倍数，则可以用查表法求概率.5. 典型例题：例7/8/9＊/10/11/12/13(a)/14＊6. 复习题:Review Exercise 1: 1/4/87. 练习册部分题目：12-01-2, 10—01-1, 08-01—2Chapter 2： Representation and summary of data – location1、Frequency tables and grouped datacumulative frequency:to add a column to the frequency table showing the running total of the frequencies 。
澳门四校联考数学考纲
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13. 三角：角度制及弧度制的關係；三角函數與三角恆等式，複角公式及半角公式； 式子 acos bsin與輔助角公式；三角形面積；正弦定律，餘弦定律；反三角 函數的定義；含一個未知數的三角方程求解。
9. 非線性方程：解分式方程及無理方程。
10. 排列與組合：基本概念，二項式定理。
11. 數列：等差數列、等比數列及前 n 項和；等比數列無限項之和。
12. 直線圖形及圓：
(A) 直線圖形：三角形及凸多邊形內角和；直線及角的性質和定理；相似三角 形、全等三角形；畢氏定理；正方形、矩形、菱形及平行四邊形的性質； 中點定理及截線定理。
9. Nonlinear equations: solving fractional equations and irrational equations.
10. Permutation and Combination: basic concepts, binomial theorem.
11. Sequences: arithmetic sequence, geometric sequence, and sum of the first n terms; sum of geometric sequence with an infinite number of terms.
家 4. Polynomial and Rational Fraction: manipulation of polynomials, long division and synthetic division, factorization of polynomials: the factor theorem and the remainder 专 theorem; highest common factors (H.C.F.) and least common multiple (L.C.M.); formula for the difference of two squares, formulae for the sum of two cubes and the
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x
Given the gradient m and one other point P1(x1，y1) ：
y-y1=m(x-x1)
gradient form： y = mx + c m: the gradient of the line c: the y-axis intercept
提出问题：
Often we encounter a linear relation that is not expressed in the form y = mx + c. An alternative standard notation is ax + by = c This is sometimes referred to as the intercept form.
What have you learn from this class?
1.Find the equation of a straight line in intercept form 2.Sketch the graph of a straight line by finding the intercepts
Solution
Exerciss of each of the following linear relations: a. 2x − 3y = 12 b. x − 4y = 8 c .−3x + 4y = 24
A straight line has equation y = 3x − 4. The points with coordinates (0, a), (b, 0), (1, d ) and (e, 10) lie on the line. Find the values of a, b, d and e.
Example 16
Find the equation, in intercept form, of the line passing through the points A(2, 5) and B(6, 8).
85 3 m 62 4 Therefore, using the gradient and the point A(2, 5), we have the equation: 3 y 5 ( x 2) 4 4(y − 5) = 3(x − 2) 4y − 20 = 3x − 6 4y − 3x = 14 −3x + 4y = 14
Example
For the straight line with equation ax + by = c（ab≠0）.Find the x-axis intercept y and y-axis intercept. Solution: x-axis intercept (y = 0): c ax + b(0) = c, x = a y-axis intercept (x = 0): c a(0) + by = c, y =
REVIEW
Given any two points on the line, y the line： P1(x1，y1), P2(x2，y2),the gradient of
●
y2 y1 gradient=m x2 x1
( x1 x2 )
0
P1(x1,y1)
●
P2(x2,y2)
b
y-axis ● Q intercept
P
0
●
x
x-axis intercept
Note : plot the two axes intercepts is a convenient way to sketch graphs of straight lines
Example 15 Sketch the graph of 2x + 4y = 10. Solution x-axis intercept (y = 0): 2x + 4(0) = 10，x = 5 y-axis intercept (x = 0): 2(0) + 4y = 10，y = 2.5
Example 17
Sketch the graph of y = 2x − 6, by first finding the intercepts.
Solution When x = 0, y=−6. Hence the y-axis intercept is −6. When y = 0, 2x − 6 = 0 ∴ 2x = 6 and x = 3 The x-axis intercept is 3.