钟表表上6点多少分时针与分针的夹角为90度

2025-03-24 09:38:12
推荐回答(1个)
回答1:

令6时x分,时针与分针夹角90°:

30° * (6+x/60) - 6°*x = ± 90°
180 + 1/2x - 6x = ± 90
360 - 11x = ± 180
11x=360±180 = 180或540
x=180/11,或540/11

即,6时(180/11)分;或6时(540/11)分,时针与分针夹角90°