(1)48°59'+57°38' (2)78°-47°34'45'' (3)12°34'×5 (4)25.5°÷4
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/05 23:13:13
(1)48°59'+57°38' (2)78°-47°34'45'' (3)12°34'×5 (4)25.5°÷4
(5)175°16'30''-47°30'÷6+4°12'50''×3 (角的计算题,
(5)175°16'30''-47°30'÷6+4°12'50''×3 (角的计算题,
1°=60′,1′=60″
(1):48°59′+57°38′
=(48°+57°)+(59′+38′)
=105°+97′
=105°+60′+37′
=105°+1°+37′
=106°37′
(2):78°-47°34′45″
=77°59′60″-47°34′45″
=(77°-47°)+(59′-34′)+(60″-45″)
=30°+25′+15″
=30°25′15″
(3):12°34′×5
=(12°+34′)×5
=12°×5+34′×5
=60°+170′
=60°+120′+50′
=60°+2°+50′
=62°50′
(4):25.5°÷4
=(24°+1.5°)×1/4
=(24°+90′)×1/4
=(24°+88′+2′)×1/4
=(24°+88′+120″)×1/4
=24°×1/4+88′×1/4+120″×1/4
=6°+22′+30″
=6°22′30″
(5):175°16′30″-47°30′÷6+4°12′50″×3
=175°16′30″-(42°+5°+30′)×1/6+(4°+12′+50″)×3
=175°16′30″-(42°+330′)×1/6+(4°×3+12′×3+50″×3)
=175°16′30″-(42°×1/6+330′×1/6)+(12°+36′+150″)
=175°16′30″-(7°+55′)+(12°+36′+120″+30″)
=175°16′30″-7°55′+12°38′30″
=175°16′30″+12°38′30″-7°55′
=(175°+12°)+(16′+38′)+(30″+30″)-7°55′
=187°+54′+60″-7°55′
=187°55′-7°55′
=(187°-7°)+(55′-55′)
=180°
(1):48°59′+57°38′
=(48°+57°)+(59′+38′)
=105°+97′
=105°+60′+37′
=105°+1°+37′
=106°37′
(2):78°-47°34′45″
=77°59′60″-47°34′45″
=(77°-47°)+(59′-34′)+(60″-45″)
=30°+25′+15″
=30°25′15″
(3):12°34′×5
=(12°+34′)×5
=12°×5+34′×5
=60°+170′
=60°+120′+50′
=60°+2°+50′
=62°50′
(4):25.5°÷4
=(24°+1.5°)×1/4
=(24°+90′)×1/4
=(24°+88′+2′)×1/4
=(24°+88′+120″)×1/4
=24°×1/4+88′×1/4+120″×1/4
=6°+22′+30″
=6°22′30″
(5):175°16′30″-47°30′÷6+4°12′50″×3
=175°16′30″-(42°+5°+30′)×1/6+(4°+12′+50″)×3
=175°16′30″-(42°+330′)×1/6+(4°×3+12′×3+50″×3)
=175°16′30″-(42°×1/6+330′×1/6)+(12°+36′+150″)
=175°16′30″-(7°+55′)+(12°+36′+120″+30″)
=175°16′30″-7°55′+12°38′30″
=175°16′30″+12°38′30″-7°55′
=(175°+12°)+(16′+38′)+(30″+30″)-7°55′
=187°+54′+60″-7°55′
=187°55′-7°55′
=(187°-7°)+(55′-55′)
=180°
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