各种平面图形的周长和面积的计算公式 字母 写出所有几何图形的周长和面积的公式,并用字母表示出来 。
\u5e73\u9762\u56fe\u5f62\u7684\u5468\u957f.\u9762\u79ef\u8ba1\u7b97\u516c\u5f0f\u52a0\u5b57\u6bcd\u7531\u4e8e\u6ca1\u6709\u56fe\u5f62 \u5c31\u76f4\u63a5\u7528\u6587\u5b57\u63cf\u8ff0\u4e86 \uff1a\uff1a\uff1a
\u4efb\u4f55\u5e73\u9762\u56fe\u7684\u5468\u957f\u90fd\u7b49\u4e8e\u8fb9\u957f\u4e4b\u548c
\u6b63\u65b9\u5f62\u9762\u79ef\u7b49\u4e8e \u8fb9\u957f\u7684\u5e73\u65b9
\u957f\u65b9\u5f62\u9762\u79ef\u7b49\u4e8e\u957f\u4e58\u4ee5\u5bbd
\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u7b49\u4e8e 1/2*\u5e95\u4e58\u4ee5\u9ad8 \uff08\u6ce8\u610f\u6b64\u5904\u7684\u9ad8\u662f\u8fc7\u9876\u70b9\u505a\u5e95\u8fb9\u7684\u5782\u7ebf\uff09
\u68af\u5f62\u7684\u9762\u79ef\u5fc5\u987b\u628a\u68af\u5f62\u5206\u89e3\u6210\u4e24\u4e2a\u4e09\u89d2\u5f62 \u548c\u4e00\u4e2a\u77e9\u5f62 \u7136\u540e\u518d\u628a\u9762\u79ef\u76f8\u52a0
\u591a\u8fb9\u5f62\u7684\u9762\u79ef\u4e5f\u662f\u9700\u8981\u5206\u89e3\u6765\u6c42 \u6ca1\u6709\u76f4\u63a5\u7684\u516c\u5f0f\u8ba1\u7b97
\u5e0c\u671b\u7b54\u6848\u80fd\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9 \u5982\u6709\u7591\u95ee \u8bf7\u7559\u8a00
\u5e73\u9762\u56fe\u5f62
\u540d\u79f0 \u7b26\u53f7 \u5468\u957fC\u548c\u9762\u79efS
\u6b63\u65b9\u5f62 a\u2014\u8fb9\u957f C\uff1d4a
S\uff1da2
\u957f\u65b9\u5f62 a\u548cb\uff0d\u8fb9\u957f C\uff1d2(a+b)
S\uff1dab
\u4e09\u89d2\u5f62 a,b,c\uff0d\u4e09\u8fb9\u957f
h\uff0da\u8fb9\u4e0a\u7684\u9ad8
s\uff0d\u5468\u957f\u7684\u4e00\u534a
A,B,C\uff0d\u5185\u89d2
\u5176\u4e2ds\uff1d(a+b+c)/2 S\uff1dah/2
\uff1dab/2\u00b7sinC
\uff1d[s(s-a)(s-b)(s-c)]1/2
\uff1da2sinBsinC/(2sinA)
\u56db\u8fb9\u5f62 d,D\uff0d\u5bf9\u89d2\u7ebf\u957f
\u03b1\uff0d\u5bf9\u89d2\u7ebf\u5939\u89d2 S\uff1ddD/2\u00b7sin\u03b1
\u5e73\u884c\u56db\u8fb9\u5f62 a,b\uff0d\u8fb9\u957f
h\uff0da\u8fb9\u7684\u9ad8
\u03b1\uff0d\u4e24\u8fb9\u5939\u89d2 S\uff1dah
\uff1dabsin\u03b1
\u83f1\u5f62 a\uff0d\u8fb9\u957f
\u03b1\uff0d\u5939\u89d2
D\uff0d\u957f\u5bf9\u89d2\u7ebf\u957f
d\uff0d\u77ed\u5bf9\u89d2\u7ebf\u957f S\uff1dDd/2
\uff1da2sin\u03b1
\u68af\u5f62 a\u548cb\uff0d\u4e0a\u3001\u4e0b\u5e95\u957f
h\uff0d\u9ad8
m\uff0d\u4e2d\u4f4d\u7ebf\u957f S\uff1d(a+b)h/2
\uff1dmh
\u5706 r\uff0d\u534a\u5f84
d\uff0d\u76f4\u5f84 C\uff1d\u03c0d\uff1d2\u03c0r
S\uff1d\u03c0r2
\uff1d\u03c0d2/4
\u6247\u5f62 r\u2014\u6247\u5f62\u534a\u5f84
a\u2014\u5706\u5fc3\u89d2\u5ea6\u6570
C\uff1d2r\uff0b2\u03c0r\u00d7(a/360)
S\uff1d\u03c0r2\u00d7(a/360)
\u5f13\u5f62 l\uff0d\u5f27\u957f
b\uff0d\u5f26\u957f
h\uff0d\u77e2\u9ad8
r\uff0d\u534a\u5f84
\u03b1\uff0d\u5706\u5fc3\u89d2\u7684\u5ea6\u6570 S\uff1dr2/2\u00b7(\u03c0\u03b1/180-sin\u03b1)
\uff1dr2arccos[(r-h)/r] - (r-h)(2rh-h2)1/2
\uff1d\u03c0\u03b1r2/360 - b/2\u00b7[r2-(b/2)2]1/2
\uff1dr(l-b)/2 + bh/2
\u22482bh/3
\u5706\u73af R\uff0d\u5916\u5706\u534a\u5f84
r\uff0d\u5185\u5706\u534a\u5f84
D\uff0d\u5916\u5706\u76f4\u5f84
d\uff0d\u5185\u5706\u76f4\u5f84 S\uff1d\u03c0(R2-r2)
\uff1d\u03c0(D2-d2)/4
\u692d\u5706 D\uff0d\u957f\u8f74
d\uff0d\u77ed\u8f74 S\uff1d\u03c0Dd/4
\u7acb\u65b9\u56fe\u5f62
\u540d\u79f0 \u7b26\u53f7 \u9762\u79efS\u548c\u4f53\u79efV
\u6b63\u65b9\u4f53 a\uff0d\u8fb9\u957f S\uff1d6a2
V\uff1da3
\u957f\u65b9\u4f53 a\uff0d\u957f
b\uff0d\u5bbd
c\uff0d\u9ad8 S\uff1d2(ab+ac+bc)
V\uff1dabc
\u68f1\u67f1 S\uff0d\u5e95\u9762\u79ef
h\uff0d\u9ad8 V\uff1dSh
\u68f1\u9525 S\uff0d\u5e95\u9762\u79ef
h\uff0d\u9ad8 V\uff1dSh/3
\u68f1\u53f0 S1\u548cS2\uff0d\u4e0a\u3001\u4e0b\u5e95\u9762\u79ef
h\uff0d\u9ad8 V\uff1dh[S1+S2+(S1S1)1/2]/3
\u62df\u67f1\u4f53 S1\uff0d\u4e0a\u5e95\u9762\u79ef
S2\uff0d\u4e0b\u5e95\u9762\u79ef
S0\uff0d\u4e2d\u622a\u9762\u79ef
h\uff0d\u9ad8 V\uff1dh(S1+S2+4S0)/6
\u5706\u67f1 r\uff0d\u5e95\u534a\u5f84
h\uff0d\u9ad8
C\u2014\u5e95\u9762\u5468\u957f
S\u5e95\u2014\u5e95\u9762\u79ef
S\u4fa7\u2014\u4fa7\u9762\u79ef
S\u8868\u2014\u8868\u9762\u79ef C\uff1d2\u03c0r
S\u5e95\uff1d\u03c0r2
S\u4fa7\uff1dCh
S\u8868\uff1dCh+2S\u5e95
V\uff1dS\u5e95h
\uff1d\u03c0r2h
\u7a7a\u5fc3\u5706\u67f1 R\uff0d\u5916\u5706\u534a\u5f84
r\uff0d\u5185\u5706\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0h(R2-r2)
\u76f4\u5706\u9525 r\uff0d\u5e95\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0r2h/3
\u5706\u53f0 r\uff0d\u4e0a\u5e95\u534a\u5f84
R\uff0d\u4e0b\u5e95\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0h(R2\uff0bRr\uff0br2)/3
\u7403 r\uff0d\u534a\u5f84
d\uff0d\u76f4\u5f84 V\uff1d4/3\u03c0r3\uff1d\u03c0d2/6
\u7403\u7f3a h\uff0d\u7403\u7f3a\u9ad8
r\uff0d\u7403\u534a\u5f84
a\uff0d\u7403\u7f3a\u5e95\u534a\u5f84 V\uff1d\u03c0h(3a2+h2)/6
\uff1d\u03c0h2(3r-h)/3
a2\uff1dh(2r-h)
\u7403\u53f0 r1\u548cr2\uff0d\u7403\u53f0\u4e0a\u3001\u4e0b\u5e95\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0h[3(r12\uff0br22)+h2]/6
\u5706\u73af\u4f53 R\uff0d\u73af\u4f53\u534a\u5f84
D\uff0d\u73af\u4f53\u76f4\u5f84
r\uff0d\u73af\u4f53\u622a\u9762\u534a\u5f84
d\uff0d\u73af\u4f53\u622a\u9762\u76f4\u5f84 V\uff1d2\u03c02Rr2
\uff1d\u03c02Dd2/4
\u6876\u72b6\u4f53 D\uff0d\u6876\u8179\u76f4\u5f84
d\uff0d\u6876\u5e95\u76f4\u5f84
h\uff0d\u6876\u9ad8 V\uff1d\u03c0h(2D2\uff0bd2)/12
(\u6bcd\u7ebf\u662f\u5706\u5f27\u5f62,\u5706\u5fc3\u662f\u6876\u7684\u4e2d\u5fc3)
V\uff1d\u03c0h(2D2\uff0bDd\uff0b3d2/4)/15
(\u6bcd\u7ebf\u662f\u629b\u7269\u7ebf\u5f62)
面积:
圆形的面积:π r² 三角形的面积:(a+b)÷2
正方形的面积:a*a 长方形的面积:a×b
梯形的面积:a*b/2 平行四边形的面积:a×h
周长:
三角形:a+b+c
正方形:4a
长方形:(a+b)*2
圆形的面积:r*r*3.14
圆形的周长:b*3.14
三角形的面积:(a+b)*2/2
正方形的面积:a*a
正方形的周长:4a
长方形的面积:a*b
长方形的周长:(a+b)*2
梯形的面积:a*b/2
平行四边形的面积:a*h
面积:
圆形的面积:π
r²
三角形的面积:(a+b)÷2
正方形的面积:a*a
长方形的面积:a×b
梯形的面积:a*b/2
平行四边形的面积:a×h
周长:
三角形:a+b+c
正方形:4a
长方形:(a+b)*2
一、平面图形:
1、长方形:周长= (长+宽)×2 【C=(a+b)×2】
面积=长×宽 【s= ab】
2、正方形:周长= 边长×4 【C=4a】
面积= 边长×边长 【S=a×a 】
3、平行四边形:面积=底×高 【S= ah】
4、三角形:面积= 底×高÷2 【S = 1/2ah】
5、梯形:面积= (上底+下底)×高÷2 【S= 1/2(a+b)h】
6、圆形:周长=圆周率×直径 或圆周率×半径×2 【C=∏d 或 C=2∏r】
绛旓細1銆侀暱鏂瑰舰 鍛ㄩ暱=锛堥暱+瀹斤級x2锛岄潰绉=闀縳瀹銆2銆佹鏂瑰舰 鍛ㄩ暱=杈归暱x4锛岄潰绉=杈归暱x杈归暱銆3銆佷笁瑙掑舰 鍛ㄩ暱=杈归暱a+杈归暱b+杈归暱c锛岄潰绉=搴晉楂/2 =ah/2 銆4銆佸钩琛屽洓杈瑰舰 鍛ㄩ暱=杈归暱ax2+杈归暱bx2锛岄潰绉=搴晉楂=ah銆5銆佹褰 鍛ㄩ暱=杈归暱a+杈归暱b+杈归暱c+杈归暱d锛岄潰绉=锛堜笂搴+涓嬪簳锛墄楂/2 =锛坅+b...
绛旓細骞抽潰鍥惧舰鐨勫懆闀垮拰闈㈢Н鍏紡鏄細涓銆佸钩闈㈠浘褰㈢殑鍛ㄩ暱 1銆侀暱鏂瑰舰鐨勫懆闀匡紳锛堥暱锛嬪锛壝2锛孋=锛坅+b锛壝2銆2銆佹鏂瑰舰鐨勫懆闀匡紳杈归暱脳4锛孋=4a銆3銆佺洿寰勶紳鍗婂緞脳2锛宒=2r锛涘崐寰勶紳鐩村緞梅2锛宺=d梅2銆4銆佸渾鐨勫懆闀匡紳鍦嗗懆鐜嚸楃洿寰勶紳鍦嗗懆鐜嚸楀崐寰劽2锛宑=蟺d=2蟺r銆備簩銆佸钩闈㈠浘褰㈢殑闈㈢Н鍏紡 1銆侀暱鏂瑰舰鐨...
绛旓細骞抽潰鍥惧舰鐨勫懆闀垮拰闈㈢Н鍏紡鏄绉嶅鏍风殑锛屽彇鍐充簬鍥惧舰鐨勭被鍨嬨傚浜庣煩褰紝鍛ㄩ暱锛圥锛夌殑鍏紡鏄細P = 2 × (闀 + 瀹)銆傞潰绉紙A锛夌殑鍏紡鏄細A = 闀 × 瀹姐傝繖涓や釜鍏紡閮介潪甯哥洿瑙傦紝鍙渶瑕佺煡閬撶煩褰㈢殑闀垮拰瀹藉氨鍙互杞绘澗璁$畻銆傚浜庡渾褰紝鍛ㄩ暱锛堟垨绉颁负鍦嗗懆锛孋锛夌殑鍏紡鏄細C = 2 × &...
绛旓細1锛闀挎柟褰㈤潰绉=闀棵楀 闀挎柟褰㈠懆闀=(闀+瀹)脳2 2锛屾鏂瑰舰闈㈢Н=杈归暱脳杈归暱 姝f柟褰㈠懆闀=杈归暱脳4 3锛屼笁瑙掑舰闈㈢Н=搴暶楅珮梅2 涓夎褰㈠懆闀=涓夎竟涔嬪拰 4锛屽钩琛屽洓杈瑰舰闈㈢Н=搴暶楅珮 骞宠鍥涜竟褰㈠懆闀=(闀胯竟+鐭竟)脳2 5锛屾褰㈤潰绉=(涓婂簳+涓嬪簳)脳楂樏2 姊舰鍛ㄩ暱=涓婂簳+涓嬪簳+鑵伴暱+鑵伴暱 6锛岃彵褰㈤潰绉...
绛旓細1. 闀挎柟褰㈢殑鍛ㄩ暱璁$畻鍏紡涓猴紙闀+瀹斤級脳2锛岄潰绉绠楀叕寮忎负闀棵楀銆2. 姝f柟褰㈢殑鍛ㄩ暱璁$畻鍏紡涓鸿竟闀棵4锛岄潰绉绠楀叕寮忎负杈归暱脳杈归暱銆3. 涓夎褰㈢殑鍛ㄩ暱璁$畻鍏紡涓鸿竟闀縜+杈归暱b+杈归暱c锛岄潰绉绠楀叕寮忎负搴暶楅珮/2锛屽嵆ah/2銆4. 骞宠鍥涜竟褰㈢殑鍛ㄩ暱璁$畻鍏紡涓鸿竟闀縜脳2+杈归暱b脳2锛岄潰绉绠楀叕寮忎负搴暶楅珮锛屽嵆...
绛旓細1銆侀暱鏂瑰舰銆佹鏂瑰舰鐨勫懆闀垮拰闈㈢Н鍏紡锛氶暱鏂瑰舰鐨勫懆闀=锛堥暱+瀹斤級脳2 C=(a+b)脳2 姝f柟褰㈢殑鍛ㄩ暱=杈归暱脳4 C=4a 闀挎柟褰㈢殑闈㈢Н=闀棵楀 S=ab 姝f柟褰㈢殑闈㈢Н=杈归暱脳杈归暱 S=a路a= a²2銆佷笁瑙掑舰銆佸钩琛屽洓杈瑰舰銆佹褰㈢殑闈㈢Н鍏紡锛氫笁瑙掑舰鐨勯潰绉=搴暶楅珮梅2 S=ah梅2 骞宠鍥涜竟褰㈢殑闈㈢Н=搴暶楅珮 ...
绛旓細骞抽潰鍥惧舰鐨勫懆闀垮拰闈㈢Н鍏紡鏄鏍风殑锛屽彇鍐充簬鍥惧舰鐨勭绫汇傚浜庣煩褰紝鍛ㄩ暱P鐨勮绠楀叕寮鏄2(l+w)锛屽叾涓璴鏄煩褰㈢殑闀垮害锛寃鏄煩褰㈢殑瀹藉害銆傞潰绉疉鐨勮绠楀叕寮忔槸l×w锛屽嵆闀垮害涔樹互瀹藉害銆傚浜庡渾褰紝鍛ㄩ暱C锛堜篃绉颁负鍦嗙殑鍛ㄩ暱鎴栧渾鐨勫懆闀匡級鐨勮绠楀叕寮忔槸2πr锛屽叾涓璻鏄渾鐨勫崐寰勩傞潰绉疉鐨勮绠楀叕寮忔槸πr²...
绛旓細鍦嗗舰鐨闈㈢Н锛歳*r*3.14 鍦嗗舰鐨勫懆闀锛歜*3.14 涓夎褰㈢殑闈㈢Н锛(a+b)*2/2 姝f柟褰㈢殑闈㈢Н锛歛*a 姝f柟褰㈢殑鍛ㄩ暱锛4a 闀挎柟褰㈢殑闈㈢Н锛歛*b 闀挎柟褰㈢殑鍛ㄩ暱锛氾紙a+b锛*2 姊舰鐨勯潰绉細a*b/2 骞宠鍥涜竟褰㈢殑闈㈢Н锛歛*h 鍙傝冭祫鏂欙細鐧惧害
绛旓細* 鍦嗗舰锛鍛ㄩ暱 = 2蟺r锛堝崐寰勶級* 姝f柟褰細鍛ㄩ暱 = 4a锛堣竟闀匡級* 闀挎柟褰細鍛ㄩ暱 = 2(a+b)锛堥暱+瀹斤級鑰屾墍鏈骞抽潰鍥惧舰鐨勯潰绉鍏紡鍖呮嫭锛* 鍦嗗舰锛氶潰绉 = 蟺r²锛堝崐寰勭殑骞虫柟锛* 姝f柟褰細闈㈢Н = a²锛堣竟闀跨殑骞虫柟锛* 闀挎柟褰細闈㈢Н = ab锛堥暱鐨勪箻瀹斤級杩欎簺鍏紡鏄熀浜庡嚑浣曞鐨勫熀鏈師鐞嗭紝...
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