前言:Desmos軟體簡介
首先,Desmos是個能畫出方程式的數學軟體,舉凡常聽見的y=2x+3、y=0.5x2 +2x-7……到三角函數y2 =sin 2/x3 都可以畫成圖形,是一個相當強大的數學軟體。
當然我不是想跟你講這些,既然它可以把方程式畫成圖形,那麼你有沒有想過可以把方程式集合在一起畫成一張圖?
先別急著下載Desmos,程式版的沒有辦法把圖片丟上去,我建議你如果沒有使用過,先從網頁版開始嘗試(手機或電腦皆可),也比較容易做畫。
實作繪製動漫
剛進去網頁時,工具欄旁有一個加號(圖一),點開來裡面有一個圖片,把你想要畫的圖案加進來當作底圖,把圖片的透明度先調低。
再來建議你先創一個資料夾,把要畫的同一個組塊放在一起(像是同個顏色、人物或是單純的一個人物),就可以開始描邊了。如果要畫很多條相似的線條,可以按齒輪,再按複製(圖二的紙張)。

圖二
如何開始第一步?你可以從看起來有大量直線的邊邊區域開始畫,像是這張圖,你可以從頭髮先開始畫,但是一張圖還是難免有曲線部分,你可以試著去想像這條曲線的最末端在哪(下圖紅線為想像曲線,灰點是最末端,以上以下都往左靠)。
以上的曲線可以用你學過的二次拋物線 y-k=a(x-h)2 (開口朝上朝下)或者是 x-h=a(y-k)2 (開口朝右朝左)其中(h,k)是最末端座標,而a值大小代表開口大小(正負決定左邊等式朝正或負發展,純數字越大開口越小、越小則相反)。
最後再加上{}符號來限制範圍,比如說你只想取這條線x介在2~2.2的部分,那就列不等式{2≤x≤2.2}(y也可以這樣取,也可以分別立x跟y)。


接下來是我的作品分享(我畫的是「獵人」裡的「小傑」):
裡面共有403條方程式,裡面共有370多條只利用一次函數和拋物線畫成,這證明我們光是國中學的數學就可以畫出大部分的圖了,剩下來的是一些是我用圓方程式(x-h)2 +(y-k)2 =r半徑,還有(斜)橢圓形方程式(橢圓形只是將x2 項前面再加上可變換的係數a(斜橢圓再加上b•xy,b可變)),只有5條以下的方程式是用三次函數和高次方程式(係數轉換比較不規則和麻煩),但這些也可以用多條拋物線畫出來。


總結:記住!別怕麻煩!只要一天畫20條左右的線,有空時可以多畫點,堅持到最後你就可以畫出你想畫出的動漫!(小備註:左邊顏色區塊只要長按就可以將線條進行換顏色、調深淡(0.7的部分)、改變線條粗細(2.5的部分)和種類等微調)。
這是我這次作圖的心得分享,謝謝大家!(因為個人因素不方便放作品連結,敬請見諒)

佬你太棒了…畫得超好,重點是你拯救了我的學習歷程,超級感謝……
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