做得有勁、看得出開心
這一族最貼近核心畫面：心整個投進動作裡，於是那股勁跑到外面來，被別人聽見、看見。
r · B2
In a way that shows plenty of energy, warmth and enjoyment, so that the good feeling can be heard or seen in what the person does or says.
開懷地；熱情地
核心畫面
One way to hold this word: heartily is doing something with the whole heart put in. The energy is not hidden — you can hear it in the laugh, the greeting, the singing, and you can see it at the dinner table. From that same picture the word can also measure feeling: if the whole heart is in your agreeing or your disliking, then you agree or dislike completely.
可以想成「整顆心都放進去」的樣子。笑、打招呼、唱歌、吃飯，只要心整個投進去，聽的人、看的人都感覺得到那股勁。這個畫面…更多收起
可以想成「整顆心都放進去」的樣子。笑、打招呼、唱歌、吃飯，只要心整個投進去，聽的人、看的人都感覺得到那股勁。這個畫面往兩邊長：一邊是動作做得有勁又開心，一邊是感覺滿到沒有保留——連心都算進去了，所以是「完全、十分」。From the word’s history
Wiktionary gives Middle English hertely, from Old English ġeheortlīċe 'whole-heartedly, vigorously', equivalent to hearty + -ly. The old sense 'whole-heartedly' sits directly under both modern uses.
來源記載它來自中古英語 hertely，更早是古英文 ġeheortlīċe（全心地、有勁地），等於 hearty 加上 -ly。這個舊意思「全心地」正好同時撐起今天的兩種用法。
Wiktionary entry for 'heartily' (kaikki extract, source_ref kaikki:3f6f69a190036ae4:1018683153:6790)
Two branches
程度滿到沒有保留
如果整顆心都放進「同意」或「討厭」裡，那就沒有剩下的部分了——所以同樣的畫面在這裡變成了程度：完全、十分。
r · B2
Completely, or very much — used with verbs like agree, recommend, welcome and dislike, and in 'be heartily sick of something', to show the feeling is full, with nothing held back.
十分；由衷地