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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)
\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)
\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}
\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}
\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
\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}
\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}
\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
\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}
\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}
\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}
\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}
\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)
\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}
\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}
\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}
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