弓高51厘米,弦长1.1米,半径应该是多少?弧长多长?
\u5f13\u9ad851\u6beb\u7c73\u5f26\u957f210\u4eb3\u7c73\u7684\u534a\u5f84\u662f\u591a\u5c11\u534a\u5f84\u7684\u5e73\u65b9-\uff08\u534a\u5f84-\u62f1\u9ad8\uff09\u7684\u5e73\u65b9\uff1d\u5f26\u957f\u4e00\u534a\u7684\u5e73\u65b9
R²\uff1d105²\uff0b\uff08R\uff0d51\uff09²
\u89e3\uff1a
102R\uff1d11025\uff0b2601\uff1d13626
R\uff1d133.588
\u534a\u5f84\u662f133.588\u4eb3\u7c73\u3002
弧所对的圆心角为A。
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=0.51/2+1.1^2/(8*0.51)
=0.5516米
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((1.1/2)/0.5516)
=171.356度
C=π*R*A/180=π*0.5516*171.356/180=1.6496米
那个所谓的弓高是横着放还是竖着放
这个要算,不难
绛旓細寮撻珮H=51鍘樼背,寮﹂暱L=1.1绫,鍗婂緞R搴旇鏄灏?寮ч暱C澶氶暱?寮ф墍瀵圭殑鍦嗗績瑙掍负A.R^2=(R-H)^2+(L/2)^2R^2=R^2-2*R*H+H^2+L^2/42*R*H=H^2+L^2/4R=H/2+L^2/(8*H)=0.51/2+1.1^2/(8*0.51)=0.5516绫矨=2*ARC SIN((L/2)/R)=2*ARC S...
绛旓細闃殑鍝佺鏈夐珮闊抽槷銆佸ぇ闃佷腑闃佸皬闃拰浣庨煶闃,鍖呮嫭楂橀煶銆佷腑闊炽佹涓煶鍜屼綆闊冲洓涓0閮,褰㈡垚涓鏃忕郴鍒椾箰鍣ㄣ 灏忛槷,鏈夋晥寮﹂暱(灞卞彛鑷崇細寮)41銆侀煶绠辩洿寰29.5鍘樼背;涓槷,鏈夋晥寮﹂暱51銆侀煶绠辩洿寰35.5鍘樼背;澶ч槷,鏈夋晥寮﹂暱69銆侀煶绠辩洿寰50鍘樼背;浣庨槷,鏈夋晥寮﹂暱104銆侀煶绠辩洿寰78鍘樼背銆傚ぇ銆佷腑銆佸皬闃互浜斿害鍏崇郴瀹氬鸡銆傚皬闃负g銆乨1銆乤...
绛旓細鍏堢敾涓涓崐寰勬槸86.2鍘樼背鐨勫ぇ鍦嗭紝鍚屼竴鍦嗗績鍐嶇敾涓涓崐寰勬槸51.72鍘樼背鐨勫皬鍦嗭紝鍐嶇敾鍑轰竴涓渾蹇冭涓5搴︾殑鎵囧舰锛屽幓鎺夋墖褰㈠強灏忓渾锛屽墿涓嬬殑灏辨槸杩欎釜姘存《鐨勫钩闈㈠浘銆(娉細娌¤冭檻鎺ョ紳澶勭殑灏哄銆)
绛旓細杩欐灦灏忕疁绡岀殑褰㈠紡杈冧负鐙壒,瀹冩棦涓嶅悓浜庛婃ⅵ姊佸綍銆嬫墍杞界殑鈥滃舰濡傚崐杈规湪姊斥,涔熶笉璁句笅杈圭殑绯诲鸡妯湪,鑰屾槸灏嗚褰㈡洸鏈ㄥ悜涓嬪仛寮у舰浼稿欢,鎴愪负鍗婂渾褰,澶栬濂藉儚鍦ㄥ嚖棣栫疁绡屼笅绔姞浜嗚剼鏌,鍙堜技涓鍙甫鏌勭殑澶氬鸡涔愬紦銆傜惔寮﹀紶浜庡紦褰㈡洸鏈ㄤ腑闂,渚濆鸡鐨勯暱鐭皟瀹氶煶楂樸傛渶澶栬竟鐨勪负浣庨煶寮,骞朵豢鐓с婃竻鏈濈画鏂囩尞閫氳冦嬫墍杞:绔栫疁绡,闈犳焺...
绛旓細寮撻珮H=51鍘樼背锛寮﹂暱L=1.1绫锛屽崐寰凴搴旇鏄灏戯紵寮ч暱C澶氶暱锛熷姬鎵瀵圭殑鍦嗗績瑙掍负A銆俁^2=(R-H)^2+(L/2)^2 R^2=R^2-2*R*H+H^2+L^2/4 2*R*H=H^2+L^2/4 R=H/2+L^2/(8*H)=0.51/2+1.1^2/(8*0.51)=0.5516绫 A=2*ARC SIN((L/2)/R)=2*ARC SIN((1.1/2...
绛旓細鍒9浠斤紝娌″垎瀵瑰簲40掳 寮﹂暱=51sin20掳鈮17.44