高一数学必修2空间几何体的表面积与体积的所有公式 请问空间几何体的表面积与体积公式各是什么
\u9ad8\u4e2d\u6570\u5b66\u5fc5\u4fee\u4e8c\u7a7a\u95f4\u51e0\u4f55\u4f53\u7684\u4f53\u79ef\u4e0e\u9762\u79ef\u7684\u5168\u90e8\u516c\u5f0f\u9ad8\u4e2d\u6570\u5b66\u5408\u96c6\u767e\u5ea6\u7f51\u76d8\u4e0b\u8f7d
\u94fe\u63a5\uff1ahttps://pan.baidu.com/s/1znmI8mJTas01m1m03zCRfQ
?pwd=1234
\u63d0\u53d6\u7801\uff1a1234
\u7b80\u4ecb\uff1a\u9ad8\u4e2d\u6570\u5b66\u4f18\u8d28\u8d44\u6599\u4e0b\u8f7d\uff0c\u5305\u62ec\uff1a\u8bd5\u9898\u8bd5\u5377\u3001\u8bfe\u4ef6\u3001\u6559\u6750\u3001\u89c6\u9891\u3001\u5404\u5927\u540d\u5e08\u7f51\u6821\u5408\u96c6\u3002
\u6b63\u65b9\u4f53 a\uff0d\u8fb9\u957f S\uff1d6a^2
V\uff1da^3
\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+(S1S2)^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\u03c0r^2
S\u4fa7\uff1dCh
S\u8868\uff1dCh+2S\u5e95
V\uff1dS\u5e95h
\uff1d\u03c0r^2h
\u7a7a\u5fc3\u5706\u67f1
R\uff0d\u5916\u5706\u534a\u5f84
r\uff0d\u5185\u5706\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0h(R^2-r^2)
\u76f4\u5706\u9525
r\uff0d\u5e95\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0r^2h/3
\u5706\u53f0
r\uff0d\u4e0a\u5e95\u534a\u5f84
R\uff0d\u4e0b\u5e95\u534a\u5f84
h\uff0d\u9ad8 V\uff1d\u03c0h(R^2\uff0bRr\uff0br^2)/3
\u7403
r\uff0d\u534a\u5f84
d\uff0d\u76f4\u5f84 V\uff1d4/3\u03c0r^3\uff1d\u03c0d^3/6
\u7403\u7f3a
h\uff0d\u7403\u7f3a\u9ad8
r\uff0d\u7403\u534a\u5f84
a\uff0d\u7403\u7f3a\u5e95\u534a\u5f84 V\uff1d\u03c0h(3a^2+h^2)/6
\uff1d\u03c0h^2(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(r1^2\uff0br2^2)+h^2]/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\u03c02Rr^2
\uff1d\u03c02Dd^2/4
\u6876\u72b6\u4f53
D\uff0d\u6876\u8179\u76f4\u5f84
d\uff0d\u6876\u5e95\u76f4\u5f84
h\uff0d\u6876\u9ad8 V\uff1d\u03c0h(2D^2\uff0bd^2)/12
(\u6bcd\u7ebf\u662f\u5706\u5f27\u5f62,\u5706\u5fc3\u662f\u6876\u7684\u4e2d\u5fc3)
V\uff1d\u03c0h(2D^2\uff0bDd\uff0b3d^2/4)/15
(\u6bcd\u7ebf\u662f\u629b\u7269\u7ebf\u5f62)
棱锥的体积：V=1/3Sh
v=sh
绛旓細鏌变綋锛歷=sh (s涓烘煴浣撶殑搴曢潰绉,h涓烘煴浣撶殑楂)鍦嗛敟:s=鈭弐^2+鈭弐l=鈭弐(r+l)(r涓哄渾閿ョ殑搴曢潰鍗婂緞,l涓哄渾閿ョ殑姣嶇嚎锛夐敟浣擄細v=sh/3 (s涓洪敟浣撶殑搴曢潰绉,h涓洪敟浣撶殑楂)鍦嗗彴:s=鈭弐^2+鈭弐^2+鈭(r+r)l/2 (r涓哄渾鍙扮殑涓婂簳闈㈠崐寰勶紝r涓哄渾鍙扮殑涓嬪簳闈㈠崐寰勶紝l涓哄渾鍙扮殑姣嶇嚎锛夊彴浣擄細v=[s+鈭...
绛旓細1.3 绌洪棿鍑犱綍浣撶殑琛ㄩ潰绉笌浣撶Н 1绗竴瀛︽椂 鏁欏娲诲姩 娲诲姩1銆愬鍏ャ戠1璇炬椂 鏌变綋銆侀敟浣撱佸彴浣撶殑琛ㄩ潰绉 (涓)銆佸熀纭鑷祴: 1.妫遍暱涓篴鐨勬鏂浣撹〃闈绉负___. 2.闀裤佸銆侀珮鍒嗗埆涓篴銆乥銆乧鐨勯暱鏂逛綋,鍏惰〃闈㈢Н涓篲__. 3.闀挎柟浣撱佹鏂逛綋鐨勪晶闈㈠睍寮鍥句负___. 4.鍦嗘煴鐨勪晶闈㈠睍寮鍥句负___. 5.鍦嗛敟鐨勪晶闈㈠睍寮鍥...
绛旓細--- 鍑犱綍浣撶殑琛ㄩ潰绉绠楀叕寮 鍦嗘煴浣:琛ㄩ潰绉:2蟺rr+2蟺rh 浣撶Н:蟺rrh (r涓哄渾鏌变綋涓婁笅搴曞渾鍗婂緞,h涓哄渾鏌变綋楂)鍦嗛敟浣:琛ㄩ潰绉:蟺rr+蟺r[(hh+rr)鐨勫钩鏂规牴]浣撶Н:蟺rrh/3 (r涓哄渾閿ヤ綋浣庡渾鍗婂緞,h涓哄叾楂,骞抽潰鍥惧舰
绛旓細5 鐢ㄦ枩浜娴嬬敾娉曠敾鍑洪暱鏂逛綋鐨勬楠:(1)鐢昏酱(2)鐢诲簳闈(3)鐢讳晶妫(4)鎴愬浘1.3 绌洪棿鍑犱綍浣撶殑琛ㄩ潰绉笌浣撶Н(涓 )绌洪棿鍑犱綍浣撶殑琛ㄩ潰绉1妫辨煴銆佹１閿ョ殑琛ㄩ潰绉: 鍚勪釜闈㈤潰绉箣鍜2 鍦嗘煴鐨勮〃闈㈢Н 3 鍦嗛敟鐨勮〃闈㈢Н 4 鍦嗗彴鐨勮〃闈㈢Н 5 鐞冪殑琛ㄩ潰绉 (浜)绌洪棿鍑犱綍浣撶殑浣撶Н1鏌变綋鐨勪綋绉 2閿ヤ綋鐨勪綋绉 3鍙颁綋鐨勪綋绉 4鐞冧綋鐨...
绛旓細浠鐨勮〃闈绉瓑浜庝笂銆佷笅涓や釜搴曢潰鐨勯潰绉姞涓婁晶闈㈢殑闈㈢Н銆佷笂搴曢潰鐨勯潰绉r^2 涓嬪湴闈㈢殑闈㈢Н蟺r'^2 渚ч潰绉垙锛坮'L+rl锛夊彴浣撶殑浣撶Н锛1/3蟺(R^2锛媟^2锛婻r)鈭歔L^2锛(R锛峳)^2]鎴戞殤鍋囨病鏈夊甫涔︿細鏉ャ佹墍浠ュ彧鏄嚟鐫璁板繂缁欎綘绛旀銆併佷笉杩囨濊矾鏄纭殑銆佸彧鏄笉鎬庝箞璇︾粏 ...
绛旓細楂樹腑鏁板蹇呬慨2鐭ヨ瘑鐐 1銆佹煴銆侀敟銆佸彴銆佺悆鐨勭粨鏋勭壒寰 (1)妫辨煴: 瀹氫箟:鏈変袱涓潰浜掔浉骞宠,鍏朵綑鍚勯潰閮芥槸鍥涜竟褰,涓旀瘡鐩搁偦涓や釜鍥涜竟褰㈢殑鍏叡杈归兘浜掔浉骞宠,鐢辫繖浜涢潰鎵鍥存垚鐨鍑犱綍浣銆 鍒嗙被:浠ュ簳闈㈠杈瑰舰鐨勮竟鏁颁綔涓哄垎绫荤殑鏍囧噯鍒嗕负涓夋１鏌便佸洓妫辨煴銆佷簲妫辨煴绛夈 琛ㄧず:鐢ㄥ悇椤剁偣瀛楁瘝,濡備簲妫辨煴鎴栫敤瀵硅绾跨殑绔偣瀛楁瘝,濡備簲...
绛旓細妫辨煴鐨勪綋绉細V=Sh 妫遍敟鐨勪綋绉細V=1/3Sh
绛旓細楂樹腑鏁板蹇呬慨2銆绌洪棿鍑犱綍浣撶殑涓夎鍥惧拰鐩磋鍥俱嬫暀妗 涓銆佹暀鏉愬垎鏋 鍦ㄤ笂涓鑺傝璇嗙┖闂村嚑浣曚綋缁撴瀯鐗瑰緛鐨勫熀纭涓,鏈妭鏉ュ涔犵┖闂村嚑浣曚綋鐨勮〃绀哄舰寮,浠ヨ繘涓姝ユ彁楂樺绌洪棿鍑犱綍浣撶粨鏋勭壒寰佺殑璁よ瘑.涓昏鍐呭鏄:鐢诲嚭绌洪棿鍑犱綍浣撶殑涓夎鍥. 姣旇緝鍑嗙‘鍦扮敾鍑哄嚑浣曞浘褰,鏄濂界珛浣撳嚑浣曠殑涓涓墠鎻.鍥犳,鏈妭鍐呭鏄珛浣撳嚑浣曠殑鍩虹涔嬩竴,鏁欏...
绛旓細鍏悊3鍙婂叾鎺ㄨ浣滅敤:鈶犲畠鏄绌洪棿鍐呯‘瀹氬钩闈㈢殑渚濇嵁鈶″畠鏄瘉鏄庡钩闈㈤噸鍚堢殑渚濇嵁 鍏悊4:骞宠浜庡悓涓鏉＄洿绾跨殑涓ゆ潯鐩寸嚎浜掔浉骞宠 楂樹腑蹇呬慨浜屾暟瀛鐭ヨ瘑鐐4 銆愪竴銆 1銆佹煴銆侀敟銆佸彴銆佺悆鐨勭粨鏋勭壒寰 (1)妫辨煴: 瀹氫箟:鏈変袱涓潰浜掔浉骞宠,鍏朵綑鍚勯潰閮芥槸鍥涜竟褰,涓旀瘡鐩搁偦涓や釜鍥涜竟褰㈢殑鍏叡杈归兘浜掔浉骞宠,鐢辫繖浜涢潰鎵鍥存垚鐨鍑犱綍浣銆 鍒...
绛旓細4.2銆鐩寸嚎銆佸渾鐨勪綅缃叧绯 4.3銆绌洪棿鐩磋鍧愭爣绯 淇℃伅鎶鏈簲鐢ㄣ鐢ㄣ婂嚑浣曠敾鏉裤嬫帰绌剁偣鐨勮建杩癸細鍦 灏忕粨 澶嶄範鍙傝冮 楂樹竴鏁板蹇呬慨2鐭ヨ瘑鐐 1銆佹煴銆侀敟銆佸彴銆佺悆鐨勭粨鏋勭壒寰 (1)妫辨煴锛氬畾涔夛細鏈変袱涓潰浜掔浉骞宠锛屽叾浣欏悇闈㈤兘鏄洓杈瑰舰锛屼笖姣忕浉閭讳袱涓洓杈瑰舰鐨勫叕鍏辫竟閮戒簰鐩稿钩琛岋紝鐢辫繖浜涢潰鎵鍥存垚鐨鍑犱綍浣銆傚垎绫...
