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Dr K Liu Maths (ENG)
เข้าร่วมเมื่อ 17 พ.ค. 2024
[[我有M1/M2數要問]] HKDSE M2 Q20250107|| Matrix|| System of Linear Equations|| HKDSE M2
[[我有M1/M2數要問]] HKDSE M2 Q20250107|| Matrix|| System of Linear Equations|| HKDSE M2
Facebook account & link :
Dr.K.Liu Maths-Erudition Education 博學習坊
/ eruditioneducation
Instagram account & link :
drkliu_math
Facebook account & link :
Dr.K.Liu Maths-Erudition Education 博學習坊
/ eruditioneducation
Instagram account & link :
drkliu_math
มุมมอง: 8
วีดีโอ
![[[我有數要問]] HKDSE Maths Students Q20250109|| q16|| Straight Line|| Linear Programming|| HKDSE Maths](http://i.ytimg.com/vi/Ew_Eq9lGU7M/mqdefault.jpg)
![[[我有數要問]] HKDSE Maths Students Q20250109|| q16|| Straight Line|| Linear Programming|| HKDSE Maths](/img/tr.png)
[[我有數要問]] HKDSE Maths Students Q20250109|| q16|| Straight Line|| Linear Programming|| HKDSE Maths
มุมมอง 262 ชั่วโมงที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20250109|| q16|| Straight Line|| Linear Programming|| HKDSE Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[我有數要問]] HKDSE Maths Students Q20250110|| q2|| Completing the Square|| Transformation](http://i.ytimg.com/vi/FjIrfRjNjNQ/mqdefault.jpg)
[[我有數要問]] HKDSE Maths Students Q20250110|| q2|| Completing the Square|| Transformation
มุมมอง 364 ชั่วโมงที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20250110|| q2|| Completing the Square|| Transformation|| Vertex|| HKDSE Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q10|| Sketching|| Differentiation|| Integration|| HKDSE M2](http://i.ytimg.com/vi/qLasoIqK4Z4/mqdefault.jpg)
[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q10|| Sketching|| Differentiation|| Integration|| HKDSE M2
มุมมอง 1497 ชั่วโมงที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q10|| Sketching|| Differentiation|| Integration|| HKDSE M2 Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q6|| Rate of Change|| Differentiation|| HKDSE M2](http://i.ytimg.com/vi/MteMIYw_7QI/mqdefault.jpg)
[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q6|| Rate of Change|| Differentiation|| HKDSE M2
มุมมอง 689 ชั่วโมงที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20250105|| q6|| Rate of Change|| Differentiation|| HKDSE M2 Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q2|| Integration|| By-Parts|| HKDSE M2](http://i.ytimg.com/vi/EvIAvB6QZRw/mqdefault.jpg)
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q2|| Integration|| By-Parts|| HKDSE M2
มุมมอง 35512 ชั่วโมงที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q2|| Integration|| By-Parts|| HKDSE M2 Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[Year One 問數]]Advance Maths Q20250104|| q3|| Matrix|| HKAL Pure Maths](http://i.ytimg.com/vi/5I03uz5RuW4/mqdefault.jpg)
[[Year One 問數]]Advance Maths Q20250104|| q3|| Matrix|| HKAL Pure Maths
มุมมอง 20514 ชั่วโมงที่ผ่านมา
[[Year One 問數]]Advance Maths Q20250104|| q3|| Matrix|| HKAL Pure Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[Year One 問數]]Advance Maths Q20250104|| q1|| Matrix|| Row and Column Operation|| HKAL Pure Maths](http://i.ytimg.com/vi/78c8E7qwLVM/mqdefault.jpg)
[[Year One 問數]]Advance Maths Q20250104|| q1|| Matrix|| Row and Column Operation|| HKAL Pure Maths
มุมมอง 8516 ชั่วโมงที่ผ่านมา
[[Year One 問數]]Advance Maths Q20250104|| q1|| Matrix|| Row and Column Operation|| HKAL Pure Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
![[[Year One 問數]]Advance Maths Q20241206|| q2|| Reduction Formula|| HKAL Pure Maths](/img/n.gif)
[[Year One 問數]]Advance Maths Q20241206|| q2|| Reduction Formula|| HKAL Pure Maths
มุมมอง 30219 ชั่วโมงที่ผ่านมา
[[Year One 問數]]Advance Maths Q20241206|| q2|| Reduction Formula|| HKAL Pure Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q3|| Substitution Integration|| HKDSE M1/2
มุมมอง 11521 ชั่วโมงที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q3|| Substitution Integration|| HKDSE M1/2 Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q1|| Integration|| By-Parts|| HKDSE M2
มุมมอง 49121 ชั่วโมงที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20250102|| q1|| Integration|| By-Parts|| HKDSE M2 Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有數要問]] HKDSE Maths Students Q20241229|| q1|| Probability|| Combination|| HKDSE Maths
มุมมอง 34วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241229|| q1|| Probability|| Combination|| HKDSE Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有數要問]] HKDSE Maths Students Q20241229|| q2|| Variation|| Trigonometry|| HKDSE Maths
มุมมอง 226วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241229|| q2|| Variation|| Trigonometry|| HKDSE Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有數要問]] HKDSE Maths Students Q20241226|| q2|| Probability|| HKDSE Maths
มุมมอง 9514 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241226|| q2|| Probability|| HKDSE Maths Facebook account & link : Dr.K.Liu Maths-Erudition Education 博學習坊 / eruditioneducation Instagram account & link : drkliu_math
[[我有M1/M2數要問]] HKDSE M2 Q20241226|| q2|| Integration|| By-Parts|| HKDSE M2
มุมมอง 27614 วันที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20241226|| q2|| Integration|| By-Parts|| HKDSE M2
[[HKAL Pure Maths筆記]] More Examples About AMGM|| Cauchy-Schwarz Inequality -- Example 1
มุมมอง 4714 วันที่ผ่านมา
[[HKAL Pure Maths筆記]] More Examples About AMGM|| Cauchy-Schwarz Inequality Example 1
[[HKAL Pure Maths筆記]] More Examples About AMGM|| Cauchy-Schwarz Inequality -- Example 2
มุมมอง 10114 วันที่ผ่านมา
[[HKAL Pure Maths筆記]] More Examples About AMGM|| Cauchy-Schwarz Inequality Example 2
[[我有數要問]] HKDSE Maths Students Q20241215|| q2|| Probability|| Tree Diagram|| HKDSE Maths
มุมมอง 2314 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241215|| q2|| Probability|| Tree Diagram|| HKDSE Maths
[[Linear Algebra]]Rank and Linear Independence -- clip4
มุมมอง 5814 วันที่ผ่านมา
[[Linear Algebra]]Rank and Linear Independence clip4
[[Linear Algebra]]Linear Combination and Linear Independence -- clip3
มุมมอง 5514 วันที่ผ่านมา
[[Linear Algebra]]Linear Combination and Linear Independence clip3
[[Year One 問數]]Advance Maths Q20241220|| q1|| Limit|| L'Hospital's Rule
มุมมอง 9421 วันที่ผ่านมา
[[Year One 問數]]Advance Maths Q20241220|| q1|| Limit|| L'Hospital's Rule
[[Linear Algebra]]Linear Combination and Linear Independence -- clip2
มุมมอง 8921 วันที่ผ่านมา
[[Linear Algebra]]Linear Combination and Linear Independence clip2
[[Linear Algebra]]Linear Combination and Linear Independence -- clip1
มุมมอง 8621 วันที่ผ่านมา
[[Linear Algebra]]Linear Combination and Linear Independence clip1
[[我有M1/M2數要問]] HKDSE M2 Q20241217|| q2|| Compound Angle Formula|| HKDSE M2
มุมมอง 6921 วันที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20241217|| q2|| Compound Angle Formula|| HKDSE M2
[[我有M1/M2數要問]] HKDSE M2 Q20241217|| Integration|| Substitution|| HKDSE M2
มุมมอง 15021 วันที่ผ่านมา
[[我有M1/M2數要問]] HKDSE M2 Q20241217|| Integration|| Substitution|| HKDSE M2
[[我有數要問]] HKDSE Maths Students Q20241216|| Completing the square|| Vertex|| HKDSE Maths
มุมมอง 8621 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241216|| Completing the square|| Vertex|| HKDSE Maths
[[我有數要問]] HKDSE Maths Students Q20241215|| q1|| Probability|| Tree Diagram|| HKDSE Maths
มุมมอง 3821 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241215|| q1|| Probability|| Tree Diagram|| HKDSE Maths
[[我有數要問]] HKDSE Maths Students Q20241208|| q6|| Circle Properties|| HKDSE Maths
มุมมอง 6928 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241208|| q6|| Circle Properties|| HKDSE Maths
[[我有數要問]] HKDSE Maths Students Q20241208|| q4|| Circle Properties|| HKDSE Maths
มุมมอง 19728 วันที่ผ่านมา
[[我有數要問]] HKDSE Maths Students Q20241208|| q4|| Circle Properties|| HKDSE Maths
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
For the last part just reference Cayley-Hamilton theorem
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
I am from sri lanka. Please tell me about your countrie's high school level math exams and their syllabus
hong kong secondary school maths level
I think it is university level in many countries
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
tyy💗
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
7:14 why there is [cos (2n+1)x]^2 but the question defines that the numerator is power of 1 only
the question tell me n is odd, therefore, i only replace n by 2n + 1
@DrKLiuMaths Hi, I think he is wondering why the term cos((2n+1)x) is squared at 7:14. Also, if we substitute u=pi-x in the integral I_n, we will find that I_n equals to 0. Quick check: Consider n=1, I_1=0. So I guess a square is missing in the numerator of the question?
@DrKLiuMaths Hi, I think he is wondering why the term cos(2n+1x) is squared. Besides, if we substitute x=pi-u in I_n, we will notice that I_n=-I_n, I_n=0. So I guess a square is missing in the numerator of the question?
@@BbaAaa-i5g yes, i got your point, thx much
@@BbaAaa-i5g i made mistake here ... hmmm, let me revise iter
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
costant
lol
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
呢個係core 定m1/2? 我記得core 都有
mainly in M1, but many school will teach in core too
I did it the exact same way as you did ❤
good!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
其實真係只有根據個答案倒轉嚟做先work. 難就不太難但感覺唔係"真數學"😢😢😢
講中文ok 嗎
go to my Chinese channel
Actually after the first application of lhopital in part b you can kill off the 2nd limit by considering sin(sinx)/2x = (sin(sinx)/sinx)(sinx/x)(1/2) to avoid the 2nd application of the lhopital rule. Also in part a I think it is easier to apply the estimation lemma on abs(the integral) and show that it's 0 by bounding it by abs(x(1-x)) for small enough x. Your method still works perfectly for both parts though.
👍
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
(a) ln(1+x)= x-x^2+x^3-x^4+… not 1-x+x^2-x^3+…
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!
Dr Liu, the email I attached a text in which you can find the whole question has sent to you. Thank you!
Got it!
sorry Dr liu, i lost your email, please help send to me again to send you the whole question
歡迎各位同學, 老師, 家長發表有意義的意見, 多多討論!!!