一个关于圆锥的简单数学问题
\u5173\u4e8e\u5706\u9525\u7684\u6570\u5b66\u9898~\u8d85\u7b80\u5355\uff0c\u53ea\u662f\u5bf9\u7b54\u6848[1]V=1/3\u03c0R2*H=1/3*3.14*(4/2)*(4/2\uff09*8=33.49dm3
[2]V=1/3\u03c0R2*H=1/3*3.14*3*3*4=37.68 dm3
[3]L=2\u03c0R=12.56m\uff0cR=2m\uff0cV=1/3\u03c0R2*H= 12.56m3
[4]V=1/3S*H=1/3*7.5*1.8=4.5cm3
[5]L=2\u03c0R=25.12m\uff0cR=4m\uff0cV=1/3\u03c0R2*H= 50.24m2,\u5c0f\u9ea6\u79cd\u690d\uff1a750*50.24=37680kg
[6]V=1/3\u03c0R2*H=1/3*3.14*\uff084/2\uff09*\uff084/2\uff09*1.5=6.28m3, 6.28/1.3=4.83\uff0c \u56e0\u6b64\u9700\u8981\u8fd05\u6b21
\u6c42\u5706\u67f1\u7684\u9ad8\uff1f
\u8bbe\u5e95\u9762\u79ef\u4e3ax\uff0c\u5706\u67f1\u9ad8\u4e3ay
6(4.8x/3)=xy
6 x 1.6x=xy
9.6=y
y=9.6
绛旓細鍦嗛敟 6*6*3.14*6/3=226.08(绔嬫柟鍘樼背)
绛旓細1.鎶婁竴娈靛簳闈㈠崐寰勬槸3鍒嗙背锛岄珮5鍒嗙背鐨勫渾鏌卞舰鏈ㄥ潡鍓婂嚭涓涓鏈澶х殑鍦嗛敟锛岄偅涔堣繖涓鍦嗛敟鐨搴曢潰鍗婂緞涔熷簲璇ユ槸3鍒嗙背锛岄珮涔熸槸5鍒嗙背锛屾嵁姝ゅ彲浠ユ眰鍑哄渾閿ョ殑浣撶Н涓猴細1/3脳3脳3脳3.14脳5=47.1锛堢珛鏂瑰垎绫筹級2.涓涓渾閿ュ拰涓涓渾鏌辩殑搴曢潰绉浉绛夛紝宸茬煡鍦嗛敟涓庡渾鏌辩殑浣撶Н涔嬫瘮鏄1锛6锛屾牴鎹渾閿ュ拰鍦嗘煴鐨勪綋绉叕寮忥紝绛...
绛旓細鍦嗛敟鐨浣撶Н鏄 锛20梅2锛壝楋紙20梅2锛壝3.14脳12脳3鍒嗕箣1锛1256绔嬫柟鍘樼背 姘存Ы鐨勫簳闈㈢Н鏄 锛40梅2锛壝楋紙40梅2锛壝3.14锛1256骞虫柟鍘樼背 姘撮潰浼氬崌楂 1256梅1256锛1鍘樼背 2.涓杈嗚揣杞︾殑杞﹀帰鏄涓涓闀挎柟浣擄紝瀹冪殑闀挎槸4绫筹紝瀹芥槸1.5绫筹紝楂樻槸4绫筹紝瑁呮弧涓杞︽矙瀛愶紝鍗稿悗娌欏爢鎴愪竴涓珮鏄1.5绫崇殑鍦嗛敟褰...
绛旓細灏忕尗鐨勫埌鐨勯厭鐨勫簳闈㈢Н锛屼笌閰掓澂鐨勫湴闈㈢Н鐨勬瘮涓猴細1/2*1/2:1*1=1:4 閰掔殑楂樺害涓庨厭鏉殑楂樺害姣斾负1锛2 閰掔殑浣撶Н涓庨厭鏉殑瀹圭Н姣斾负1*1锛4*2=1锛8 鎵浠ョ嫄鐙稿疄闄呭崠缁欏皬鐚1/8鏉厭
绛旓細棣栧厛鏄庣‘鍦嗘煴鍜屽渾閿ョ殑鎹㈢畻鏄1锛3銆愮瓑搴曠瓑楂樸戞墍浠ャ愶紙1锛変竴涓渾鏌变笌鍦嗛敟鐨勫簳闈㈠崐寰勭浉绛,鍦嗛敟鐨勯珮鏄渾鏌辩殑3鍊 杩欎釜鍦嗛敟鐨勪綋绉槸锛熴戝氨寰堝ソ鐞嗚В浜嗭紝鍥犱负搴曢潰鍗婂緞鐩哥瓑锛屾墍浠ュ簳鐩哥瓑锛屽洜涓哄渾鏌遍珮锛氬渾閿ラ珮=1锛3 鎵浠ワ紝瀹冧滑鐨勪綋绉浉绛夈傚悓鐞嗭紝闂銆愶紙2锛変竴涓渾鏌卞拰涓涓渾閿ョ殑搴曢潰鍗婂緞鐩哥瓑锛屽渾閿ョ殑楂...
绛旓細鍦嗛敟鐨楂橈細314脳3梅147鈮2.13锛堝帢绫筹級2.鎶婁竴鍧楅暱30鍘樼背銆佸20鍘樼背銆侀珮5鍘樼背鐨勯暱鏂瑰舰閾濆潡鍜屼竴鍧楀簳闈㈠懆闀夸负37.68鍘樼背銆侀珮30鍘樼背鐨鍦嗛敟褰閾濆潡銆傜啍閾告垚涓涓搴曢潰鍗婂緞涓5鍘樼背鐨勫渾鏌卞舰閾濆潡锛岃繖涓渾鏌卞舰閾濆潡鐨勯珮鏄灏戯紵锛堝緱鏁颁繚鐣欐暣鏁帮級闀挎柟浣撲綋绉細30脳20脳5锛3000锛堢珛鏂瑰帢绫筹級鍦嗛敟鍗婂緞锛37.68梅...
绛旓細閲嶉噺=18.84脳730=13753.2鍗冨厠鈮13753鍗冨厠锛2銆佸簳闈㈢幆闈㈢Н=3.14脳(6²-5²)=3.14脳11=34.54骞虫柟鍘樼背锛涗綋绉=搴曢潰鐜潰绉楅珮=34.54脳25=863.5绔嬫柟鍘樼背锛涘鏋滄湰棰樻湁浠涔堜笉鏄庣櫧鍙互杩介棶锛屽鏋滄弧鎰忚寰楅噰绾 濡傛灉鏈夊叾浠闂璇烽噰绾虫湰棰樺悗鍙﹀彂鐐瑰嚮鍚戞垜姹傚姪锛岀瓟棰樹笉鏄擄紝璇疯皡瑙ｏ紝璋㈣阿銆傜...
绛旓細杩欓亾棰樼畻鍑鍦嗛敟浣浣撶Н灏辫浜嗐併佸洜涓哄渾鍛ㄩ暱=2蟺r=62.8 鎵浠=31.4/蟺銆傚垯鐢鍦嗛敟鐨浣撶Н鍏紡鍙緱V=锛埾r^2h锛/3=(31.4^2/蟺)*h*1/3鈮147绔嬫柟绫炽傘傚垯灏忛害绾﹂噸147*707=103929 Kg
绛旓細闀挎柟浣撶殑闀垮拰瀹藉氨鏄鍦嗛敟浣鐨勭洿寰 鍦嗛敟浣撶殑鐩村緞锛6.28梅3.14=2(鍘樼背)鍘熼暱鏂逛綋鐨勪綋绉細2脳2脳5=20(绔嬫柟鍘樼背)
绛旓細1.涓涓渾鏌变綋鐨勪綋绉槸280绔嬫柟鍒嗙背锛屽簳闈㈢Н鏄20骞虫柟鍒嗙背锛岄珮鏄紙14锛夊垎绫炽2.涓涓渾鏌卞舰姘存《鐨勫绉槸25鍗囷紝浠庢《閲岄噺瀹冪殑楂樻槸5鍒嗙背锛屽簳闈㈢Н鏄紙5锛夊钩鏂瑰垎绫炽3.涓涓渾鏌辩殑搴曢潰绉槸2.8骞虫柟鍒嗙背锛岄珮鏄10鍘樼背锛屼綋绉槸锛2.8 锛夌珛鏂瑰垎绫炽4.涓涓渾閿ョ殑浣撶Н鏄60绔嬫柟鍒嗙背锛屽簳闈㈢Н鏄20骞虫柟鍒嗙背锛岄珮鏄...
