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>MathJax数式とXy-pic図形

MathJax数式とXy-pic図形

数学の楽園で作成した、MathJaxの数式と、Xy-pic図形を、置いていきます。ウェブで、数式や図形を書くために、素材としてご利用ください。

数学の分野を選んでね

代数(数字と式と計算)



指数と累乗

\begin{xy} (5,0)*{\huge 5}="O", \ar(22,18) *{指数}; (10,6) *+[Fo]{2}, \end{xy}

連立方程式 $ \left\{ \begin{array}{@{}1} 2x+3y=12\\ \,\,\,\,x-\,\,\,y=1 \end{array} \right. $



式のまとめ(中学1年用) \begin{xy} (26,70)*{式}="式"; (0,0)*{}="A"; (50,0)*{}="B"; (50,70)*{}="C"; (0,70)*{}="D"; "式"; "C" **\dir{-}; "式"; "D" **\dir{-}; "A"; "B" **\dir{-}; "B"; "C" **\dir{-}; "D"; "A" **\dir{-}; (13,65)*{計算式}="計算式"; (13,57)*{1+2\times 3 }="計算式の中身"; (40,65)*{文字式}="文字式"; (40,57)*{2x+y}="文字式の中身"; (50,50)*{}="E"; (0,50)*{}="F"; "E"; "F" **\dir{-}; (26,45)*{等式・不等式}="等式・不等式"; (26,37)*{2x=y\,\,\,\,\,2a<3b}="等式・不等式"; (26,20)*{方程式}="方程式"; (26,13)*{2x+1=3x}="方程式の中身"; (8,25)*{}="G"; (42,25)*{}="H"; (8,5)*{}="I"; (42,5)*{}="J"; "G"; "H" **\dir{-}; "G"; "I" **\dir{-}; "J"; "H" **\dir{-}; "J"; "I" **\dir{-}; \end{xy}

関数(数直線と座標とグラフ)

比例のグラフ(直線)

\begin{xy} {(0,0) \ar @{->}(42,0)}, {(8,2) \ar @{-}(8,-2)}, {(16,-30) \ar @{->}(16,30)}, {(24,2) \ar @{-}(24,-2)}, {(30,2) \ar @{-}(30,-2)}, {(36,2) \ar @{-}(36,-2)}, {(14,-24) \ar @{-}(18,-24)}, {(14,-18) \ar @{-}(18,-18)}, {(14,-12) \ar @{-}(18,-12)}, {(14,-6) \ar @{-}(18,-6)}, {(14,6) \ar @{-}(18,6)}, {(14,12) \ar @{-}(18,12)}, {(14,18) \ar @{-}(18,18)}, {(14,24) \ar @{-}(18,24)}, {(2,-24) \ar @{-}(30,24)}, (34,12)*{y=2x}="A", (34,6)*{(a=2)}="A", \end{xy}

関数と変域

\begin{xy} (0,0)*{変域}="O", {(-5,0) \ar @{-}(-25,0)}, {(5,0) \ar @{-}(25,0)}, {(-25,0) \ar @{-}(-25,-23)}, {(25,0) \ar @{-}(25,-23)}, {(25,-23) \ar @{-}(-25,-23)}, (-10,-8)*{定義域}="O", (-10,-16)*{x}="O", (10,-8)*{値域}="O", (10,-16)*{y}="O", \end{xy}

直線の交点

\begin{xy} {(0,0) \ar @{->}(42,0)}, {(8,2) \ar @{-}(8,-2)}, {(16,-30) \ar @{->}(16,30)}, {(24,2) \ar @{-}(24,-2)}, {(30,2) \ar @{-}(30,-2)}, {(36,2) \ar @{-}(36,-2)}, {(14,-24) \ar @{-}(18,-24)}, {(14,-18) \ar @{-}(18,-18)}, {(14,-12) \ar @{-}(18,-12)}, {(14,-6) \ar @{-}(18,-6)}, {(14,6) \ar @{-}(18,6)}, {(14,12) \ar @{-}(18,12)}, {(14,18) \ar @{-}(18,18)}, {(14,24) \ar @{-}(18,24)}, {(8,-32) \ar @{-}(36,18)}, (0,-18)*{y=2x-3}="A", {(2,24) \ar @{-}(36,-5)}, (0,12)*{y=-x+1}="A", (27.4,2.5)*{ \bullet}="O", (41,7)*{A (\frac{\Large 5}{\Large 3} , \frac{\Large 1}{\Large 3})}="O", \end{xy}

平面図形

角度

\begin{xy} (5,1)*{B}="A", (25,29)*{A}="A", (35,1)*{C}="A", (5,5)*{\bullet}="A", (25,25)*{\bullet}="A", {(5,5) \ar @{-}(30,30)}, (35,5)*{\bullet}="A", {(5,5) \ar @{-}(40,5)}, (21,10)*{\angle ABC }="A", (11,4.5)*{}="E"; (9,10)*{}="F"; "E"; "F" **\crv{(13,8)}; \end{xy}

直角3角形

\begin{xy} (5,1)*{D}="A", (11,43)*{E}="A", (33,8)*{F}="A", (5,5)*{\bullet}="A", (5,45)*{\bullet}="A", (30,5)*{\bullet}="A", {(5,5) \ar @{-}(5,45)}, {(5,5) \ar @{-}(30,5)}, {(30,5) \ar @{-}(5,45)}, \end{xy}

円と扇形

\begin{xy} (0,0)*{\bullet}="A", (-4,0)*{O}="A", (0,0) *\cir<20mm>{}, (14,14)*{\bullet}="A", (14,-14)*{\bullet}="A", (14,19)*{A}="A", (14,-19)*{B}="A", {(0,0) \ar @{-}(14,14)}, {(0,0) \ar @{-}(14,-14)}, \end{xy}

垂直2等分線

\begin{xy} (-20,0)*{}="A", (-10,0)*{\bullet}="A", (10,0)*{\bullet}="A", {(-10,0) \ar @{-}(10,0)}, (-10,5)*{A}="A", (10,5)*{B}="A", (-10,0) *\cir<15mm>{r_l}, (10,0) *\cir<15mm>{l_r}, (0,11)*{\bullet}="A", (0,-11)*{\bullet}="A", {(0,30) \ar @{-}(0,-30)}, {(3,3) \ar @{-}(3,0)}, {(3,3) \ar @{-}(0,3)}, \end{xy}

立体図形

正4面体

\begin{xy} (0,0)*{\bullet}="A", (-15,15)*{\bullet}="A", (15,15)*{\bullet}="A", (0,35)*{\bullet}="A", {(0,0) \ar @{-}(15,15)}, {(0,0) \ar @{-}(-15,15)}, {(15,15) \ar @{.}(-15,15)}, {(0,35) \ar @{-}(-15,15)}, {(0,35) \ar @{-}(15,15)}, {(0,35) \ar @{-}(0,0)}, \end{xy}

円柱

\begin{xy} {(0,0) \ar @{-}(0,30)}, {(40,0) \ar @{-}(40,30)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,4)&(20,10)&(40,4)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-10)&(40,-4)}; (0,28)*+[o]{}="A";(40,28)*+{}="B", "A";"B" **\crv{~**@{-} (0,34)&(20,40)&(40,34)}; (0,32)*+[o]{}="A";(40,32)*+{}="B", "A";"B" **\crv{~**@{-} (0,26)&(20,20)&(40,26)}; (20,0)*{底面}="A", (20,30)*{上面}="A", \end{xy}

円錐

\begin{xy} (22,14)*{6}="A", (30,2)*{4}="A", {(20,0) \ar @{.}(20,30)}, {(0,0) \ar @{-}(20,30)}, {(40,0) \ar @{-}(20,30)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,2)&(20,7)&(40,2)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; {(20,0) \ar @{.}(40,0)}, \end{xy}

\begin{xy} (29,2)*{6}="A", (20,0) *\cir<20mm>{}, {(20,0) \ar @{.}(40,0)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(20,8)&(40,3)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; \end{xy}

アルキメデスの球と円柱

\begin{xy} (29,2)*{r}="A", (20,0) *\cir<20mm>{}, {(20,0) \ar @{.}(40,0)}, (0,-2)*+[o]{}="A";(40,-2)*+{}="B", "A";"B" **\crv{~**@{.} (0,3)&(20,8)&(40,3)}; (0,2)*+[o]{}="A";(40,2)*+{}="B", "A";"B" **\crv{~**@{-} (0,-4)&(20,-8)&(40,-4)}; (0,18)*+[o]{}="A";(40,18)*+{}="B", "A";"B" **\crv{~**@{-} (0,23)&(20,28)&(40,23)}; (0,22)*+[o]{}="A";(40,22)*+{}="B", "A";"B" **\crv{~**@{-} (0,16)&(20,12)&(40,16)}; (0,-22)*+[o]{}="A";(40,-22)*+{}="B", "A";"B" **\crv{~**@{.} (0,-17)&(20,-12)&(40,-17)}; (0,-18)*+[o]{}="A";(40,-18)*+{}="B", "A";"B" **\crv{~**@{-} (0,-24)&(20,-28)&(40,-24)}; {(0,-20) \ar @{-}(0,20)}, {(40,-20) \ar @{-}(40,20)}, \end{xy}

切断図

\begin{xy} (-9,18)*{\bullet}="A", (-9,6)*{\bullet}="A", (0,-9)*{\bullet}="A", (-13,4)*{F}="A", (-4,-11)*{G}="A", (-13,20)*{E}="A", {(-9,18) \ar @{-}(-9,6)}, {(-9,6) \ar @{-}(0,-9)}, {(0,-18) \ar @{-}(0,-9)}, {(-9,6) \ar @{-}(-18,12)}, {(-9,18) \ar @{-}(-18,12)}, {(-18,12) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(-18,-6)}, {(0,-18) \ar @{-}(9,-12)}, {(0,6) \ar @{.}(9,0)}, {(0,6) \ar @{.}(-18,-6)}, {(0,6) \ar @{.}(0,15)}, (9,0)*{\bullet}="A", (12,2)*{I}="A", (9,-12)*{\bullet}="A", (12,-13)*{H}="A", {(9,-12) \ar @{-}(9,0)}, (0,15)*{\bullet}="A", (3,15)*{J}="A", {(9,0) \ar @{-}(0,15)}, {(-9,18) \ar @{-}(0,15)}, {(0,-9) \ar @{-}(9,-12)}, \end{xy}

統計(資料データ)


有効数字

\begin{xy} (0,0)*{\huge 123 = 1.23 \times 10^{2} }="O", {(-8,-7) \ar @{-}(10,-7)}, {(1,-8) \ar @{<-}(1,-15)}, {(23,-7) \ar @{-}(38,-7)}, {(31,-8) \ar @{<-}(31,-15)}, (0,-19)*{有効数字}="O", (16,-19)*{\times}="O", (30,-19)* {10の累乗}="O", \end{xy}

相対度数

\begin{xy} {(0,0) \ar @{-}(60,0)}, (10,-5)*{階級}="A", {(0,-10) \ar @{-}(60,-10)}, {(0,-50) \ar @{-}(60,-50)}, {(0,-60) \ar @{-}(60,-60)}, (10,-15)*{0 \sim 2}="A", (10,-25)*{3 \sim 5}="A", (10,-35)*{6 \sim 8}="A", (10,-45)*{9 \sim 11}="A", (10,-55)*{計}="A", (30,-5)*{度数}="A", (30,-15)*{4}="A", (30,-25)*{8}="A", (30,-35)*{5}="A", (30,-45)*{3}="A", (30,-55)*{20}="A", (50,-5)*{相対度数}="A", (50,-15)*{0.2}="A", (50,-25)*{0.4}="A", (50,-35)*{0.25}="A", (50,-45)*{0.15}="A", (50,-55)*{1}="A", \end{xy}

度数折れ線

\begin{xy} {(0,0) \ar @{-}(0,60)}, {(15,20) \ar @{.}(15,60)}, {(30,40) \ar @{.}(30,60)}, {(45,25) \ar @{.}(45,60)}, {(60,15) \ar @{.}(60,60)}, (7,-3)*{0\sim2}="A", (22,-3)*{3 \sim 5}="A", (38,-3)*{6 \sim 8}="A", (53,-3)*{9 \sim 11}="A", {(0,0) \ar @{-}(60,0)}, {(0,5) \ar @{.}(60,5)}, {(0,10) \ar @{.}(60,10)}, {(0,15) \ar @{.}(45,15)}, {(45,15) \ar @{-}(60,15)}, {(0,20) \ar @{-}(15,20)}, {(15,20) \ar @{.}(45,20)}, {(15,25) \ar @{.}(30,25)}, {(30,25) \ar @{-}(45,25)}, {(15,30) \ar @{.}(30,30)}, {(15,35) \ar @{.}(30,35)}, {(15,40) \ar @{-}(30,40)}, (-3,5)*{1}="A", (-3,25)*{5}="A", (-3,50)*{10}="A", {(15,0) \ar @{-}(15,40)}, {(30,0) \ar @{-}(30,40)}, {(45,0) \ar @{-}(45,25)}, {(60,0) \ar @{-}(60,15)}, (7,20)*{\bullet}="A", (23,40)*{\bullet}="A", (37,25)*{\bullet}="A", (53,15)*{\bullet}="A", {(7,20) \ar @{-}(23,40)}, {(23,40) \ar @{-}(37,25)}, {(37,25) \ar @{-}(53,15)}, \end{xy}