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One day, two students went to their teacher’s house. They sat down at the table. The teacher 1． a golden cup in front of one of them and an old and cracked ceramic cup（有裂缝的瓷杯） in front of the other. He poured water into both cups.
“ 2．yourselves.” the teacher said.
The student 3． got the golden cup drank the water and said “thank you” to his 4．. The other student was 5．. He asked his teacher, “Dear teacher, why do you treat us so differently?”
The teacher smiled and said, “My dear students, I have 6． the golden cup for many years. I put it 7． an important guest. Not everyone is allowed 8． from it, because it is a valuable thing. But I myself never use this cup. Instead, every day I drink water from my 9． ceramic cup. It has served me for so many years. I know every crack in it. It is valuable in my heart. So, my dear students, only you can decide 10． I treat both of you. But remember one thing in this house, they are the only cups I have. So they are both important to me.”
同类型试题
y = sin x， x∈R， y∈[–1，1]，周期为2π，函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x， x∈[–1，1]， y∈[–π/2，π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
y = sin x， x∈R， y∈[–1，1]，周期为2π，函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x， x∈[–1，1]， y∈[–π/2，π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
