Need 的用法

女兒的講義有一題英文選擇題. need 後面接動詞 (用 do 代替之), 四個選項中有 3 個大概像這樣:

to do, doing, to doing.

我覺得應該是 to do. 主動的 need 用 need to do, 被動的 need doing = need to be done. 不過咧, 後面的標準答案卻是 need to doing. 真是奇哉怪也~~~

我在網路上找了一些資料, 當然也查過字典了. 不過我想那個答案應該是錯的吧?! 雖然這本講義中提到很多不及物動詞 (如 busy) 省略介係詞 (如 in, 或不省略) + V-ing 的例子, 不過我不認為 need 也是其中之一啊?

動詞的分類(依據受詞分類)

help to VR = help VR

        learn to VR (v.s) learn V-ing

        need to VR (主動) / need V-ing (被動)= need to be p.p.

          Your car is so dirty. You need to wash it.

高中英語語法 ——ing分詞的用法

          Your car is so dirty. It needs washing. = It needs to be washed.

        prefer to VR rather than VR = prefer Ving to Ving