## [分享]和數學有關的英語單字

### [分享]和數學有關的英語單字

1)Perpendicular to the line x-y=0,and the area of the
triangle enclosed by the line and the axes is 36/5.
2.The vertices of △ABC are A(-2,4). B(-1,-1) and C(5,-2)
a)Find the equation of the median on AB.
b)Find the equation of the altitude on AB.
c)Find the equation of the line joining C and a point
which divides AB in the ratio 4:3
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1)垂直直線 x-y=0 且和XY軸所形成的三角形封閉區域面積是36/5

2.△ABC 的3頂點是 A(-2,4). B(-1,-1) 和 C(5,-2)

a)找出AB中線的直線方程式
b)找出△ABC中AB上的高的直線方程式
c)找出通過C點並把線段AB分成4：3的直線方程式

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Coordinate geometry：解析幾何
Perpendicular to ：垂直於..
triangle：三角形
enclosed：封閉的

vertices：頂點
equation：方程式
median：中間值
altitude：高
join：連接; 結合
divide：區分成...
ratio：比率

J+W

coordinate Geometry2

1)A diameter of a circle with centre at the origin and
radius 8 units has inclination of120° .
Find the equations of the tangents to the circle at the
ends of the diameter.
2)The slope of a line is -3 and the distance of the line
from the origin is 10.Find the equation of the line.
3)The slope of a line is 3/4 and the distance of the
line from the origin is 12.Find the equation of the line.

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1)以原點為圓心,半徑長8單位的圓上的一條直徑,其方位角是120度（註1）

2)有一條直線,其斜率是-3,和原點的距離是10,找出其直線方程式？

3)有一條直線,其斜率是3/4,和原點的距離是12,找出其直線方程式？
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diameter：直徑
centre：中心
inclination：傾斜
tangent：正切 切線

slope：斜率

ends：結束,結尾
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（註1）原文並無方位角字眼,這段翻得沒什把握
（註2）2個端點是由end(s)來猜的

J+W

1)Find the equations of the straight lines which are
parallel to 3x+4y-15=0 and are 6 units from the origin.

2)Find the equations of the straight lines which are
parallel to 4x-3y-10=0 and are 5 units from this line.
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1)找出平行3x+4y-15=0,並和原點相距6單位長的直線方程式?

2)找出平行4x-3y-10=0 ,並和其相距5單位長的直線方程式?
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straight：直;平
parallel：平行

J+W

1)Find the distance from the given point P to the given
line L:

P(0,0) , L: y=mx+a√1+m2

2)Find the equations of the members of L which satisfy
the given conditions.
perpendicular to the x-axis.

3)A line L passes through the intersection of the lines
L1:3x-y+3=0 and L2:x-3=0 .

If the distance of L from the point P(0,1)is √2 ,find
the equation of L.
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1)求P點(0,0) 到直線L: y=mx+a√1+m^2 的距離?

2)找出符合下列條件的直線方程式L: y=mx+a√1+m2

（不太確定,是不是這樣？）

3）有一直線L,通過L1:3x-y+3=0 and L2:x-3=0 的交點

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intersection：交叉點

J+W

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