探究式

探 = 扌 + 冖 + 八 + 木 : Tecumseh (t) lost an eight-ball (八) during the last billiard game and goes scouting (探) to find it. Eventually he arrives at the anthill's bathroom (an4) and looks under a big Christmas tree (木). He lifts a cooking top (冖) with a toy claw (扌) and finally finds the eight-ball under it.

探 = 扌 + 罙 : Tecumseh (t) is exploring (探) the chimney of a kitchen range (罙) in the anthill's bathroom (an4). He uses two toy claws (扌) to climb inside of it from bottom to top.

究 = 九 + 穴 : Joan of Arc (ji) is carefully studying (究) cave paintings (穴) that have appeared over night in front of the outhouse (ou1) using mass spectrometry. She carves off a little of the paintings and puts them in the mass spectrometer. As it emits a huge cloud nine (九), the spectrometer shows on the display that the main component is love.

式 = 工 + 弋 : I'll use a specific style as mnemonic symbol: 哥特式, gothic.

Sherlock Holmes and the goth are celebrating a Viking festival in the space station's bathroom. They don't have trunks to throw around, so they use a steel beam. They also celebrate by practising archery. In zero gravity it is easy for them to set one world record after the next.