Recent Posts
- 2023 DSE MATH PAPER 1 & 2 數學卷一LQ / 數學卷二MC建議答案 PAPER I II Suggested Ans / Solution—超研教育
April 24, 2023 - 【 超研課程概覽｜F.4 數學常規班 】September 1, 2022
- 【 超研課程概覽｜F.5 數學常規班 】September 1, 2022
The coordinates of the points A and B are (1,4) and (5,12) respectively. It is given that C is a point on the line segment AB such that AC:BC= 1:3 . L is a horizontal line passing through C.
(a) Find the coordinate of C
(b) Find the equation of L
(c) P is a moving point in the rectangular coordinate plane such that the distance between P to B is equal to the perpendicular distance between P to L. Denote the locus of P by Г.
(i) Find the equation of Г.
(ii) Describe the Г .
(iii) The Г and AB intersect at D. Find the coordinate of D .
(iv) The lowest point of Г, denoted by K, Find the area of BDK
Locus 主要有6大類考法:
- Maintaining a fixed distance from a fixed point (Circle)
- Maintaining an equal distance from two given points (Perpendicular Bisector)
- Maintaining a fixed distance from a line (Two parallel lines)
- Maintaining a fixed distance from a line segment (Field track)
- Maintaining an equal distance from two parallel lines (A parallel straight line)
- Maintaining an equal distance from two intersecting lines (A pair of angle bisector)但其實仲有一類大家都應該要識
但其實仲有一類大家都應該要識 , 不過可能同學仔已經遺忘左 , 就係上面例題出現嘅一種
Maintaining an equal distance from a point and a straight line (Parabola)
呢一類係近年DSE都無出現過 , 所以大家溫習時都應該要特別留意
Locus 主要有6大類考法:
– Maintaining a fixed distance from a fixed point (Circle)
– Maintaining an equal distance from two given points (Perpendicular Bisector)
– Maintaining a fixed distance from a line (Two parallel lines)
– Maintaining a fixed distance from a line segment (Field track)
– Maintaining an equal distance from two parallel lines (A parallel straight line)
– Maintaining an equal distance from two intersecting lines (A pair of angle bisector)
但其實仲有一類大家都應該要識 , 不過可能同學仔已經遺忘左 , 就係上面例題出現嘅一種
Maintaining an equal distance from a point and a straight line (Parabola)
呢一類係近年DSE都無出現過 , 所以大家溫習時都應該要特別留意
查詢表格
#equation of locus #denote數學 #locus equation #equation of the locus
旺角補習社地址
聯絡我們
超研教育專注優質數學教育，以舒適學習方案令學生學好數學。
數學補習社課程針對數學考試常見題型加以分析，釐清數理概念，建立及提升解題解難能力，令學生處理多變的試題更有優勢。
數學補習社課程針對數學考試常見題型加以分析，釐清數理概念，建立及提升解題解難能力，令學生處理多變的試題更有優勢。
數學補習社電話/Whatsapp: 51167443
© Copyright Aspire Education All rights reserved.