만든 순서별[2018]
[처음] [2018] [2017] [2016] [2015] [2014]
민은기선생님의 수학자료실 이용방법 : https://goo.gl/bVaSff
반드시 Ardobe reader 를 설치 후에 자료를 이용바랍니다.
자료는 AlgeoMath, Geogebra, Tex의 beamer를 이용하여 만든 것입니다. 수업에 사용하기 쉽게 pdf화일로 재편집한 자료입니다.
또한, 강의를 올려놓았습니다.
20181217 : 직사각형의 두 대각선은 길이가 같고 서로 다른 것을 이등분한다.(Two diagonals of a rectangle are equal in length and bisect each other.) AlgeoMath : http://me2.do/5PQeZgMq
20181211 : 두 쌍의 대각의 크기가 각각 같은 사각형은 평행사변형이다.(The rectangle with the same measure of two pairs of opposite angles is a parallelogram.) : AlgeoMath : http://me2.do/xkBLWnTU
20181129 : 평행사변형의 두 쌍의 대변의 길이는 각각 같다.(Two pairs of opposite sides of the parallelogram are equal in length.) : AlgeoMath: http://me2.do/IDYrahd6
20181125 : 삼각형의 세 내각의 이등분선은 한 점(내심)에서 만나고 이 점(내심)에서 세 변에 이르는 거리는 같다.(The bisector of three angles of a triangle meet at one point(incenter) and the distance from this point(incenter) to the three sides is the same.) AlgeoMath : http://me2.do/5qsoOiv6 YouTube : https://youtu.be/ENv5cG_1qrg
20181121 : 삼각형의 내심의 이해(Understanding of Triangle Incenter) : AlgeoMath : http://me2.do/FZ4nE6iQ YouTube : https://youtu.be/SY4-ejEQhXk
20181120 : 삼각형의 세 변의 수직이등분선은 한점(외심)에서 만나고 이 점(외심)에서 세 꼭짓점에 이르는 거리는 같다(The vertical bisector of the three sides of the triangle meet at one point (circumcenter) and the distance from this point (circumcenter) to the three vertices is the same.) : AlgeoMath : http://me2.do/x3gDiVTQ YouTube : https://youtu.be/HJM2RRPQqqI
20181119 : 외심의 이해(Understanding of Circumcenter) :AlgeoMath : http://me2.do/GRMF7K0x YouTube : https://youtu.be/a44vbt3THAU
20181118 : 직각삼각형의 정의(Defintion of Right triangle) : AlgeoMath : http://me2.do/xc5hpMky YouTube : https://youtu.be/b47VpGu1ScI
20181117 : RHS 합동 : 두 직각삼각형의 빗변의 길이와 다른 한 변의 길이가 각각 같을 때 합동이다.(RHS congruent : If two right-angled triangles have their hypotenuses equal in length and a pair of shorter sides are equal in length then the triangles are congruent.) : AlgeoMath : http://me2.do/xkB2gyDv YouTube : https://youtu.be/65J-Z_C05dY
20181110 : 이등변삼각형의 정의(Definition of Isosceles Triangle)
YouTube : https://youtu.be/HvWOhdMwQnk
20181110 : 이등변삼각형의 두 밑각의 크기는 같다.(The base angles of an isosceles triangle are
congruent.) YouTube :
https://youtu.be/d3UuKio1JfI
20181110 : 이등변삼각형의 꼭짓점에서 밑변에 내린 수선의 발은 밑변의 중점이다.(Foot of Perpendicular at the
base of the isosceles triangle is the center of the base.) YouTube :
https://youtu.be/G2wVzTTFzOs
20181110 : 이등변삼각형의 꼭지각의 이등분선은 밑변을 수직 이등분한다.(The bisector of the apex angle of
the isosceles triangle divides the base vertically.) YouTube :
https://youtu.be/dmyp3xkgZbc
20181110 : 삼각형의 두 내각의 크기가 같으면 이등변 삼각형이다.(If a triangle has 2 conguent angles,
then it is isosceles) YouTube :
https://youtu.be/JhDWOcGE2NQ
20181106 : 삼각형의 두 내각의 크기가 같으면 이등변 삼각형이다.(If a triangle has 2 conguent angles, then it is isosceles) AlgeoMath : http://me2.do/FdjV08Wg
20180131 :이등변삼각형의 꼭짓점에서 밑변에 내린 수선의 발은 밑면의 중점이다.(Foot of Perpendicular at the base of the isosceles triangle is the center of the base.) : AlgeoMath : http://me2.do/5fTdVFaw
20180925 : 예각에 대한 사인법칙(알지오매스:AlgeoMath) : From Google Drive https://goo.gl/7TXXte From Min's Homepage : https://goo.gl/kknH99
20180913 : 원뿔 곡선 입장에서 본 타원(Circle and ellipse 3D) pdf : https://goo.gl/RfTaCN gif: https://goo.gl/KA6LnE YouTube: https://youtu.be/vYI2Hxp0snE GeogebraTube : https://ggbm.at/btgeds5j
20180913 : 원뿔 곡선 입장에서 본 포물선(Parabola 3D) pdf : https://goo.gl/k8U1C6 gif: https://goo.gl/DdzCUa YouTube: https://youtu.be/64Qs176NjcI GeogebraTube : https://ggbm.at/zfwgegsy
20180913 : 원뿔 곡선 입장에서 본 쌍곡선(Hyperbola 3D) pdf : https://goo.gl/ftfgpW gif: https://goo.gl/58J3bJ YouTube: https://youtu.be/Eg8F7hTK49s GeogebraTube : https://ggbm.at/aben7qgm
20180905 : 주어진 길이가 있고 두 점과 한 직선이 주어진 상태에서 이 직선상의 점과 두 점과의 거리의 합이 주어진 길이가 되는 점을 작도하여라.(With a given length, and with two points and one straight line, construct a point where the sum of the distances between one point on these straight line and the two points is the given length.) : pdf : https://goo.gl/EP9jwE YouTube: https://youtu.be/uQdsvKRIHps GeogebraTube : https://ggbm.at/vbw2nnyy AlgeoMath : http://me2.do/Gd5bfrd8
20180831 : $\Delta y_1 +\cdots + \Delta y_n =\Delta y$ : pdf : https://goo.gl/A3PMU9 YouTube: https://youtu.be/1q0Dul9Fra0 GeogebraTube : https://ggbm.at/ahh7cw9q
20180819 : 선분의 중점을 작도하여라.(Construct the center of line segment.) : https://goo.gl/gwm9gq YouTube: https://youtu.be/ft4NmSbYNNU GeogebraTube : https://ggbm.at/ah563wpm ggb problem : https://goo.gl/AtSBQn
AlgeoMath : http://me2.do/GFGmehgn
20180706 : 좌표평면에서 두 점의 좌표가 주어졌을 때의 직선의 방정식(The equation of a straight line when the coordinates of two points are given in the coordinate plane) : https://goo.gl/uiKdKE YouTube: https://youtu.be/IbxvIAMBaes GeogebraTube : https://ggbm.at/f39tkmpv AlgeoMath :
20180629 : 주어진 두 원 위의 한 점에서 두 원에 동시에 접하는 원을 작도하여라.(Construct a circle that tangentially touches two circles at a given point on two circles.) : https://goo.gl/JY4xBz gif : https://goo.gl/5tXuTU YouTube: https://youtu.be/-o0athkbW28 GeogebraTube : https://ggbm.at/bsjvbfe8 AlgeoMath : http://me2.do/IIvn23Cl
20180627 : 원 안에 같은 크기의 3개의 원이 접하도록 작도하여라.(Draw three circles of equal size in the circle.) : https://goo.gl/61jQrk YouTube: https://youtu.be/GbBJA5bJhKU GeogebraTube : https://ggbm.at/f5f4cnpf
20180619 : 사이클로이드 곡선이 꼬이지 않는 이유는 무엇인가?(Why is the cycloid curve not kinked?) : https://goo.gl/rXisB7 YouTube: https://youtu.be/ApcWuVopBc8 GeogebraTube : https://ggbm.at/qdFCu9UE
20180526 : 피타고라스 나무(Pythagoras Tree) : https://goo.gl/b9VB7L YouTube: https://youtu.be/VxX1h4susF0
20180515 : 5.2 사이클로이드 강의록: (From Homepage)https://goo.gl/q9tXDv (From Google Drive) https://goo.gl/yxJSFK
20180515 : 6 Geogebra를 활용한 시험문제 제작 강의록: (From Homepage) https://goo.gl/LjSFPj (From Google Drive) https://goo.gl/uuR5DA
20180514 : 매개변수로 나타낸 곡선의 접선 : https://goo.gl/xcKPHH
20180512 : 매개변수로 나타낸 곡선 : https://goo.gl/QqJxgr
20180510 : 두 변의 길이와 끼인각이 예각으로 주어진 삼각형의 넓이: https://goo.gl/ryYMoL
20180508 : Tetrahedron 5-Compound : https://goo.gl/XEZ5Dx gif : https://goo.gl/bdfF12 YouTube: https://youtu.be/vtQFVCK6-j0 GeogebraTube : https://ggbm.at/FXs4UjRz stl1 : https://goo.gl/wQeyg7 stl2 : https://goo.gl/twMjHi stl3 : https://goo.gl/Hv8cnM stl4 : https://goo.gl/ctUkX5
20180504 : 매개변수 곡선의 미분(Differential of the parameter curve) : https://goo.gl/uS6opM YouTube: https://youtu.be/tjy1S131JoM
20180502 : $x=3\cos\theta \ , \ y=3\sin\theta \ , \ (0 \le \theta \le \pi)$ : https://goo.gl/GqECPP gif : https://goo.gl/V56e3D YouTube: https://youtu.be/ymsG8Bn6sP8
20180427 : $\displaystyle\sum_{r=0}^n r^2 \cdot _n \mathrm{C}_r \ a^r b^{n-r}=na(na+b)(a+b)^{n-2}$ : https://goo.gl/PEVgZy YouTube: https://youtu.be/FoB3QAdzBc4
20180424 : $\displaystyle\sum_{r=0}^n r\cdot _n \mathrm{C}_r \ a^r b^{n-r} = n a (a+b)^{ n-1}$ : https://goo.gl/ATqtJS YouTube: https://youtu.be/eSvtdfzRfSo
20180423 : 타원의 초점에서 타원의 접선에 내린 수선의 발은 장축을 지름으로 하는 원 위에 있다.(The foot of perpendicular to the tangent to the ellipse at the focus, is on a circle whose diameter is a apsidal line.) : https://goo.gl/ZS4CET YouTube : https://youtu.be/yY4TukVtZ0g
20180419 : 초점이 점 $\mathrm{F_1}$, 점 $\mathrm{F_2}$인 타원에서 타원상의 점 $\mathrm{P}$에서 $\mathrm{P}$의 접선과 직선 $\mathrm{PF_1}$이 이루는 각과 $\mathrm{P}$의 접선과 직선 $\mathrm{PF_2}$가 이루는 각의 크기는 같다. (The angle formed by the tangent line of $\mathrm{P}$ and the straight line $\mathrm{PF_1}$ at the point $\mathrm{P}$ on the ellipse with the focus $\mathrm{F_1}$ and $\mathrm{F_2}$ and the angle formed by the tangent line of $\mathrm{P}$ and the straight line $\mathrm{PF_2}$ are the same.) : https://goo.gl/g9q9Zd YouTube : https://youtu.be/5StnA8hKCm8
20180414 : 모집단의 평균과 분산과 표준편차(Mean and Variance and Standard Deviation of Population) : https://goo.gl/y8Jf17 YouTube : https://youtu.be/QxhlvO52saU GeogebraTube : https://ggbm.at/wXdGwPVe
20180414 : Tex에서 svg 그림 파일 쓰는 방법 : https://goo.gl/qR5uA9
20180329 : 극좌표계에서의 중적분(Double Integrals in Polar Coordinates) : https://goo.gl/gCQqbp YouTube : https://youtu.be/-X0WbdS-sPA
20180327 : 표준정규분포표(p-->z) : https://goo.gl/DvLHj2 GeogebraTube https://goo.gl/VmVnfG
20180325 : 표준정규분포표(z-->p) : https://goo.gl/BoZDDx GeogebraTube https://goo.gl/yG8Kt2
20180325 : 표준정규분포(Standard Normal Distribution) : https://goo.gl/pWMjyS YouTube : https://youtu.be/PGWA3563AN0
20180325 : 정규분포(Normal Distribution) : https://goo.gl/wezMKh YouTube : https://youtu.be/8Qnly54TZlE
20180321 : Geogebra파일을 Lasercutting 파일로 변환 : https://goo.gl/z7hCM7
20180306 : 확률분포(Probability Distribution) : https://goo.gl/1NWsLp YouTube : https://youtu.be/ltSkzEa6XA0 GeogebraTube : https://ggbm.at/dR5CcsTr
20180301 : 분산, 표준편차 구하기(도수분포표) [공식사용][Sage Math이용] : https://goo.gl/mGQZbf manual : https://goo.gl/Rvg15s
20180228 : 분산, 표준편차 구하기(도수분포표) [공식사용][Geogebra이용] : https://goo.gl/a3tnGC
20180228 : $x_i$ 의 평균, 분산, 표준편차(Mean, Variance, Standard Deviation of $x_i$)[Geogebra 이용] : https://goo.gl/g5QoAi
20180228 : $x_i$ 의 평균, 분산, 표준편차(Mean, Variance, Standard Deviation of $x_i$)[Sage Math이용] : https://goo.gl/8qudA2 manual : https://goo.gl/3V3ALV
20180214 : 도수분포에서의 분산(Variance of Frequency Distribution): https://goo.gl/jcw5Lc YouTube : https://youtu.be/5xaJKs_CGmc
20180214 : 복원추출하여 만든 표본의 표본평균의 표본분포 예제 [Sage Math 이용] (Example of the Sampling Distribution of the Sample Mean of a Random Sample with Replacement ) https://goo.gl/ocfuaW pdf : https://goo.gl/6DcAZB YouTube : https://youtu.be/0yM59nZpz3o
20180214 : abs(x)+abs(y)<1 : https://goo.gl/ryMbN4 YouTube : https://youtu.be/8DkdKWPM84Q
20180214 : abs(y)=f(x) : https://goo.gl/CTL4th YouTube : https://youtu.be/458ybYxJueY
20180214 : y=abs(f(x)) : https://goo.gl/rd3GTW YouTube : https://youtu.be/bZtU8lU-FH8
20180214 : y=f(abs(x)) : https://goo.gl/Uf1hd3 YouTube : https://youtu.be/6mjoBfS6xwI
20180214 : 복원추출하여 만든 표본의 표본평균의 표본분포 예제 [Sage Math 이용] (Example of the Sampling Distribution of the Sample Mean of a Random Sample with Replacement ) https://goo.gl/ocfuaW
20180212 : 타원에서의 빛 반사(Reflection of Light on a Ellipse) : https://goo.gl/eQG9hs gif : https://goo.gl/NDfb31 YouTube : https://youtu.be/Ahi2XZBSY7A
20180212 : 포물선에서의 빛 반사(Reflection of Light on a Parabola) : https://goo.gl/YxMsXS gif : https://goo.gl/4sgLtu YouTube : https://youtu.be/QfzfOW5u9UE
20180212 : 칠각형 매듭(Heptagon Knot) : https://goo.gl/UJjqsA gif : https://goo.gl/iaf3BT ggb : https://goo.gl/r4xAJM YouTube : https://youtu.be/3DP3Rz_1W2w
20180212 : 환의 넓이(Area of Ring) : https://goo.gl/twBenf gif : https://goo.gl/EeS4C4 YouTube : https://youtu.be/G_AI-aYEXBc
20180212 : 원의 넓이(Area of Circle) : https://goo.gl/964yb1 gif : https://goo.gl/ivbdpm YouTube : https://youtu.be/ljTTeVM376o
20180212 : 팔각형 매듭(Octagon Knot) : https://goo.gl/QF8TAw gif : https://goo.gl/GlWNwO ggb : https://goo.gl/Fgs73b YouTube : https://youtu.be/_oW1J1rF68k
20180212 : 원 안에 있는 두 점을 지나면서 이 원에 내접하는 원을 작도하여라.(Draw a circle that passes through the two points in the circle and touches this circle.) : https://goo.gl/62XCxK
20180212 : Triangle rotation : https://goo.gl/MlzHzY gif : https://goo.gl/SPKd3A YouTube : https://youtu.be/t-miVGtI4Q4
20180212 : 구의 발판곡면(Pedal curved surface of sphere) : http://me2.do/5j339ODE YouTube : https://youtu.be/3cmUZXUytxA
20180212 : 사면체의 스트링 아트(Tetrahedron String Art) : http://me2.do/5AMA2YHP gif : http://me2.do/5xoIOwe8 YouTube : https://youtu.be/TQXbNVRL1Mc
20180212 : 장미(Rose) : http://me2.do/IDcagNz4 gif : http://me2.do/GFEIAcgb YouTube : https://youtu.be/MJ7q4fKhhaE
20180212 : 삼각형의 오더리 탱클 II(Orderly Tangle II of Triangles) : http://me2.do/GM7YD2N6 gif : http://me2.do/IMeL5CJp YouTube : https://youtu.be/0RCTUYziA40
20180212 : 삼각형의 오더리 탱클 I(Orderly Tangle I of Triangles) : http://me2.do/FOAkgx4n gif : http://me2.do/FqMOBb7r YouTube : https://youtu.be/ovyopn6MYbo
20180212 : 프렉탈 코흐 눈송이(Fractal Koch Snowflake) : http://me2.do/xdZTk9pl gif : http://me2.do/G093JZs2 YouTube : https://youtu.be/zSFia35Jk0I
20180212 : 프렉탈 페아노 곡선(Fractal Peano Curve) : http://me2.do/FE6E8hgA gif : http://me2.do/xFkGj1Lk YouTube : https://youtu.be/yUTdfbxMtB0
20180212 : 타원의 포락선(The evelope of the ellipse) : http://me2.do/xpxAwDcL gif_1 : http://me2.do/FE6pnwN7 YouTube : https://youtu.be/wtRTadRjUqI gif_2 : http://me2.do/5OeykFfz YouTube : https://youtu.be/Eqiix1Vu734 ggb : http://me2.do/GHIq8mH1
20180210 : 엑셀의 데이터 이용하여 Geogebra에서 추세선 만들기 https://goo.gl/5ucjN1 YouTube : https://youtu.be/HM5o-wHlbg0
20180113 : 표본평균의 표본분포의 예제(Example of the Sampling Distribution of the Sample Mean) https://goo.gl/vJzJun
20180113 : 표본평균의 표본분포(The Sampling Distribution of the Sample Mean) : https://goo.gl/xLfbj3
20180113 : 3.5 뷔퐁의 바늘 문제 강의록: (From Homepage) https://goo.gl/YSgdjZ (From Google Drive) https://goo.gl/fSu59r
20180112 : 3.4 중심극한정리 강의록: (From Homepage) https://goo.gl/h5NKnG (From Google Drive) https://goo.gl/cnn3U2
20180111 : 모집단과 표본(Population and Sample) : https://goo.gl/17G33M
20180110 : 1.1 프로그램 설치 강의록: (From Homepage ) https://goo.gl/C74he6 (From Google Drive) https://goo.gl/wqwJ6v
20180108 : 3.3 독립시행의 확률 강의록: (From Homepage) https://goo.gl/YPqaSg (From Google Drive) https://goo.gl/oejeu3
20180107 : 7.1 타원 내부에서의 포락선 강의록: (From Homepage) https://goo.gl/C4c9BF (From Google Drive) https://goo.gl/HAq93C
20180106 : 3.2 이항분포와 정규분포의 관계 강의록: (From Homepage) https://goo.gl/cmz36p (From Google Drive) https://goo.gl/edxSm7
20180106 : 5.3 프렉탈 코흐 눈송이 강의록: (From Homepage) https://goo.gl/NQcUZU (From Google Drive) https://goo.gl/oJGn4e
20180105 : 4.2 도형의 자취 문제의 변형 강의록: (From Homepage) https://goo.gl/yMjXBE (From Google Drive) https://goo.gl/jk8Mx5
20180104 : 4.1 도형의 자취 문제 강의록: (From Homepage) https://goo.gl/rdRe9g (From Google Drive) https://goo.gl/TyWCbZ
20180104 : 3.1 큰 수의 법칙 강의록: (From Homepage) https://goo.gl/wn85bX (From Google Drive) https://goo.gl/Pny7Hy
20180103 : 2.3 탄젠트함수 강의록: (From Homepage ) https://goo.gl/dAsJ9W (From Google Drive) https://goo.gl/nNeebz
20180102 : 2.2 제한된 범위에서 이차함수의 최대최소 강의록: (From Homepage ) https://goo.gl/fHZQqm (From Google Drive) https://goo.gl/bh1fQC
20180101 : 2.1 예각에 대한 사인법칙 강의록: (From Homepage ) https://goo.gl/j6upKS (From Google Drive) https://goo.gl/3B4nMD