数学の楽園は、数学学習サイトです。

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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。

関数分野の素材

関数分野の素材で、数直線、座標、関数、グラフのまとめがあります。



数直線

\begin{xy} {(0,0) \ar @{<->}(36,0)}, {(6,3) \ar @{-}(6,-3)}, {(18,3) \ar @{-}(18,-3)}, {(30,3) \ar @{-}(30,-3)}, (7,-15)*{左が負}="A",(29,-15) *{右が正}="B", (18,-6)*{原点}="O", (6,6) *{-1}="E",(20,-10)*{}="F", (18,6) *{0}="G",(30,-10)*{}="H", (30,6) *{+1}="I",(40,-10)*{}="J", \end{xy} \begin{xy} {(0,0) \ar @{<->}(36,0)}, {(6,3) \ar @{-}(6,-3)}, {(12,3) \ar @{-}(12,-3)}, {(18,3) \ar @{-}(18,-3)}, {(24,3) \ar @{-}(24,-3)}, {(30,3) \ar @{-}(30,-3)}, (18,-6)*{原点}="O", (6,6) *{-2}="C",(10,-10)*{}="D", (18,6) *{0}="G",(30,-10)*{}="H", (30,6) *{+2}="K",(50,-10)*{}="L", (18,6)*[o]+{};(30,7)*[o]+{}="A" **\crv{(24,20)}?>*\dir{>}, "A" , (18,6)*[o]+{};(6,7)*[o]+{}="B" **\crv{(13,20)}?>*\dir{>}, "B" , \end{xy} \begin{xy} {(0,0) \ar @{-}(48,0)}, {(6,3) \ar @{-}(6,-3)}, {(12,3) \ar @{-}(12,-3)}, {(18,3) \ar @{-}(18,-3)}, {(24,3) \ar @{-}(24,-3)}, {(30,3) \ar @{-}(30,-3)}, {(36,3) \ar @{-}(36,-3)}, {(42,3) \ar @{-}(42,-3)}, (12,-7) *{0}="C", (24,-7) *{+2}="G", (42,-7)*{+5}="K", {(12,8) \ar @{->}(24,8)^{+2}}, {(24,11) \ar @{->}(42,11)^{+3}}, \end{xy} \begin{xy} {(0,0) \ar @{-}(48,0)}, {(6,3) \ar @{-}(6,-3)}, {(12,3) \ar @{-}(12,-3)}, {(18,3) \ar @{-}(18,-3)}, {(24,3) \ar @{-}(24,-3)}, {(30,3) \ar @{-}(30,-3)}, {(36,3) \ar @{-}(36,-3)}, {(42,3) \ar @{-}(42,-3)}, (6,-7) *{-5}="C", (24,-7) *{-2}="G", (36,-7)*{0}="K", {(36,8) \ar @{->}(24,8)_{-2}}, {(24,11) \ar @{->}(6,11)_{-3}}, \end{xy} \begin{xy} {(0,0) \ar @{-}(48,0)}, {(6,3) \ar @{-}(6,-3)}, {(12,3) \ar @{-}(12,-3)}, {(18,3) \ar @{-}(18,-3)}, {(24,3) \ar @{-}(24,-3)}, {(30,3) \ar @{-}(30,-3)}, {(36,3) \ar @{-}(36,-3)}, {(42,3) \ar @{-}(42,-3)}, (12,-7) *{0}="C", (24,-7) *{+2}="G", (42,-7)*{+5}="K", {(12,8) \ar @{->}(42,8)^{+5}}, {(24,17) \ar @{<-}(42,17)^{-3}}, \end{xy}

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}

反比例のグラフ(双曲線)

\begin{xy} {(0,0) \ar @{->}(42,0)}, {(8,2) \ar @{-}(8,-2)}, {(16,2) \ar @{-}(16,-2)}, {(24,-30) \ar @{->}(24,30)}, {(30,2) \ar @{-}(30,-2)}, {(36,2) \ar @{-}(36,-2)}, {(22,-24) \ar @{-}(26,-24)}, {(22,-18) \ar @{-}(26,-18)}, {(22,-12) \ar @{-}(26,-12)}, {(22,-6) \ar @{-}(26,-6)}, {(22,6) \ar @{-}(26,6)}, {(22,12) \ar @{-}(26,12)}, {(22,18) \ar @{-}(26,18)}, {(22,24) \ar @{-}(26,24)}, (12,20)*{ y= \frac{\Large a}{\Large x}}="A", (12,12)*{ (a>0)}="A", (24,24)*[o]+{};(48,1)*[o]+{}="R" **\crv{(32,10)&(36,4)}; (0,-1)*{}="C"; (23,-24)*{}="D"; "C"; "D" **\crv{(8,-6) & (16,-8)}; \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}

1次関数のグラフ(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)}, {(2,30) \ar @{-}(30,-18)}, (34,12)*{y=-2x+1}="A", (34,6)*{(a=-2)}="A", \end{xy}

y軸と平行な直線

\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)}, {(30,-33) \ar @{-}(30,33)}, (38,12)*{x=2}="A", \end{xy}

x軸と平行な直線

\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)}, {(0,12) \ar @{-}(45,12)}, (38,16)*{y=2}="A", \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}
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