Oxford Mathematics for the New Century
B. Parallel Lines and Perpendicular Lines
Parallel Lines Perpendicular Lines
If two or more straight lines in the same
plane never intersect no matter how far they
are extended, then they are called parallel
lines.
e.g.
AB and CD are a pair of parallel lines,
i.e. 'AB // CD' or 'CD // AB'.
If two straight lines in the same plane
intersect each other at a right angle
(i.e. 90), then they are called perpendicular
lines.
e.g.
PQ and RS are a pair of perpendicular
lines, i.e. 'PQ RS' or 'RS PQ'.
Extra Warm-up Exercise
3. Name all the pair(s) of parallel lines in each of the following figures.
(a) (b)
4. Name all the pair(s) of perpendicular lines in each of the following figures.
(a) (b)
A
B
C
D
P
Q
R
S
A
B
C
D
P
Q
R
S
§9.2
Oxford Mathematics for the New Century 1A Chapter 3 Basic Algebra (I)
© Oxford University Press 2020 B. Simple Equations - 3.3
Upper Primary Worksheet
B. Simple Equations
Solve the following equations and check the results. [Nos. 16]
1. k + 23 = 99
Checking
When k = ,
L.H.S. = + 23 = ( = / ) R.H.S.
The answer is ( ).
2. 24t = 192
Checking
When t = ,
L.H.S. = 24 × = ( = / ) R.H.S.
The answer is ( ).
correct / incorrect
192
8
8
24t ÷ 24 = 192 ÷ 24
t = 8 correct / incorrect
99
76
76
k + 23 - 23 = 99 - 23
k = 76
e.g. (a) x 7 = 4
x 7 + 7 = 4 + 7
x = 11
(b) 3
5
y
535
5
y
15y
Teacher's Edition
姓名:__________________________ 班別:__________( )
© 牛津大學出版社 2020 重温工作紙 1B09-1
重温工作紙 9 (參看 1B 冊 第 9 章)
A. 角的類別
如下表所示,一個角可按它的大小來分類。
額外重温練習
1. 試只憑直觀,把下列各圖中所標示的角按其大小分類。
(a) (b) (c)
(d) (e) (f)
2. 試寫出下列各角的大小。
(a) x
(b) y
(c) z
x
y
z
§9.1
- 19 姓名:__________________________
班別:__________( )
© 牛津大學出版社 2020 1A 冊 課堂工作紙 - 輕量版 (附步驟提示) 4A-1
課堂工作紙 4A (參看 1A 冊 §4.1)
4.1 公式及代入法
公式用於表示一些量 (變數) 之間的關係。
單獨寫在公式一方的變數,稱為這公式的主項。
例如: (a) 在公式 A = 2
1 bh 中,
變數:A、b 及 h
主項:A
常數: 2
1
(b) 2A、x + y 及 3b = 0 都不是公式。
1. 判斷下列各題是否公式。若是,在方格內加上「」,並在橫線上寫出其主項。
否則,在方格內加上「」。
(a) S = 30h (b) 2r
(c) 365d (d) c = 7
(e) A = 5(x - y) (f) P = x2 + 12x
○→ 習題 4A 1
代入法
若公式中只有一個變數的值是未知的,我們可以把其他已給定的變數數值
代入公式,從而求出該未知數值。
例 1 即時訓練 1
考慮公式 y = 90 - x。若 x = 13,求 y 的值。
解 當 x = 13 時,
y = 90 - 13
= 77
考慮公式 P = 4r。若 r = 15,求 P 的值。
解 當 r = ( ) 時,
P = ( ) ( )
=
2. 考慮公式 A = 6s - 2。若 s = 5,求 A 的
值。
當 s = ( ) 時,
A = 6( ) - 2
=
○→ 習題 4A 2-6
3. 考慮公式 F = ma。若 m = 10 和 a = 4,求
F 的值。
當 m = ( ) 和 a = ( ) 時,
F = ( ) ( )
=
面積 = A
b
h
輕量版 (附步驟提示)
- 39 姓名:__________________________
班別:__________( )
補充例題工作紙 3
補充例題 1 程度一 (第 3.5 頁)
用代數式表示下列各語句。
(a) r 減 7 與 q 的積。
(b) h 與 k 的和除以 6。
(c) x 的立方加 y,然後把所得的和乘以 9。
解
補充例題 2 程度一 (第 3.6 頁)
用文字描述下列各代數式。
(a) a2(b + c)
(b)
3
yx
解
Name: __________________________ Class: __________( )
© Oxford University Press 2020 Book 1A Lesson Worksheet - Intensive Version 3C-1
Lesson Worksheet 3C (Refer to Book 1A §3.3ACI)
3.3A Introduction to Algebraic Equations
(a) An algebraic equation consists of two expressions connected by an equal sign '='
with one or more unknowns.
e.g. y = 4, x + 3y = 1 and x2 - 5 = y.
(b) The value of the unknown that can make both sides of the equation equal is called
the solution (or root) of the equation.
e.g. Consider the equation 4n = 20.
When n = 5,
L.H.S. = 4(5) = 20 L.H.S. stands for 'left-hand side'.
R.H.S. = 20 R.H.S. stands for 'right-hand side'.
∵ L.H.S. = R.H.S.
∴ 5 is the solution of the equation 4n = 20.
1. Determine whether 2 is the solution of the equation 2x + 1 = 3.
3.3B Linear Equations in One Unknown
An equation containing only one unknown with index 1 is called a linear equation in
one unknown.
e.g. y = -5, x + 4 = 2 and z - 1 = 6z. y
2 = 1 and x + y = 1 are not linear
equations in one unknown.
2. Determine whether each of the following is a linear equation in one unknown.
(a) 2a + 7 (b) y = - 4
(c) 3b = 12 (d) 20 - 9 = 11
(e) c + 2d = 10 (f) 18 4h = 5h
(g) 4g - 7 = 8g - 1 (h) 2e2 e 3 = 0
Intensive Version
- 12 Name:
__________________________ Class: __________( )
© Oxford University Press 2020 Supplementary Example Worksheet 1B08-1
Supplementary Example Worksheet 8
Supplementary Example 1 Level 1 (P.8.6)
In each of the following, write down the coordinates of point P and the quadrant where P lies in.
(a)
(b)
Solution
Supplementary Example 2 Level 2 (P.8.6)
(a) Plot the following four points in a rectangular coordinate plane:
A(3 , 1), B(3 , 2), C(2 , 4) and D(1 , 1).
(b) Draw a line passing through A and B. Let P be the point of intersection of AB and the x-axis.
Write down the coordinates of P.
(c) Draw a line passing through C and D. Let Q be the point of intersection of CD and the y-axis.
Write down the coordinates of Q.
Solution
(a)
- 49 3
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1
Sample
牛津數學新世代 1A 第 5 章 百分法 (一)
© 牛津大學出版社 2020 A.
百分數的認識 - 5.1
高小支援工作紙
A. 百分數的認識
在空格內填上適當的數。[第 14 題]
1. = 54 %
2. = 123 %
3. = 79 %
4. = 261%
填一填。[第 56 題]
5. 把 61%、27%、49%由小至大排列:
< <
6. 把 86%、35%、108%由大至小排列:
> >
完成以下句子。[第 79 題]
7. 男生佔全班的 48%,女生佔全班的 %。
8. 6A 班有 62.5% 的同學戴眼鏡,沒戴眼鏡的同學有 %。
9. 一包朱古力豆有三種顏色,紅色的有 30%,藍色的有 34%,其餘的都是綠色
的。綠色的朱古力豆佔 %。
36
37.5
52
100
100
54
79 261
123
100 100
27% 49% 61%
108% 86% 35%
教師版
22
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