缁濆瘑鈽?/span>鍚敤鍓?/span>

2020骞存櫘閫氶珮绛夊鏍℃嫑鐢熷叏鍥界粺涓€鑰冭瘯

鐞嗙缁煎悎鑳藉姏娴嬭瘯

娉ㄦ剰浜嬮」锛?/span>

1锛庣瓟鍗峰墠锛岃€冪敓鍔″繀灏嗚嚜宸辩殑濮撳悕銆佸噯鑰冭瘉鍙峰～鍐欏湪绛旈鍗′笂銆?/span>

2锛?/span>鍥炵瓟閫夋嫨棰樻椂锛岄€夊嚭姣忓皬棰樼瓟妗堝悗锛岀敤閾呯瑪鎶婄瓟棰樺崱涓婂搴旈鐩殑绛旀鏍囧彿娑傞粦锛屽闇€鏀瑰姩锛岀敤姗＄毊鎿﹀共鍑€鍚庯紝鍐嶉€夋秱鍏跺畠绛旀鏍囧彿銆傚洖绛旈潪閫夋嫨棰樻椂锛屽皢绛旀鍐欏湪绛旈鍗′笂锛屽啓鍦ㄦ湰璇曞嵎涓婃棤鏁堛€傘€?/span>

3锛?/span>鑰冭瘯缁撴潫鍚庯紝灏嗘湰璇曞嵎鍜岀瓟棰樺崱涓€骞朵氦鍥炪€?/span>

鍙兘鐢ㄥ埌鐨勭浉瀵瑰師瀛愯川閲忥細H 1聽 Li 7聽 C 12聽 N 14聽 O 16聽 Na 23聽 S 32聽 Cl 35.5聽 Ar 40聽 Fe 56聽 I 127

浜屻€侀€夋嫨棰橈細鏈鍏?/span>8灏忛锛屾瘡灏忛6鍒嗐€傚湪姣忓皬棰樼粰鍑虹殑鍥涗釜閫夐」涓紝绗?/span>14~18棰樺彧鏈変竴椤圭鍚堥鐩姹傦紝绗?/span>19~21棰樻湁澶氶」绗﹀悎棰樼洰瑕佹眰銆傚叏閮ㄩ€夊鐨勫緱6鍒嗭紝閫夊浣嗕笉鍏ㄧ殑寰?/span>3鍒嗭紝鏈夐€夐敊鐨勫緱0鍒嗐€?/span>

14锛庣閬撻珮棰戠剨鏈哄彲浠ュ鐢遍挗鏉垮嵎鎴愮殑鍦嗙鐨勬帴缂濆疄鏂界剨鎺ャ€傜剨鏈虹殑鍘熺悊濡傚浘鎵€绀猴紝鍦嗙閫氳繃涓€涓帴鏈夐珮棰戜氦娴佺數婧愮殑绾垮湀锛岀嚎鍦堟墍浜х敓鐨勪氦鍙樼鍦轰娇鍦嗙涓骇鐢熶氦鍙樼數娴侊紝鐢垫祦浜х敓鐨勭儹閲忎娇鎺ョ紳澶勭殑鏉愭枡鐔斿寲灏嗗叾鐒婃帴銆傜剨鎺ヨ繃绋嬩腑鎵€鍒╃敤鐨勭數纾佸瑙勫緥鐨勫彂鐜拌€呬负

A锛庡簱浠?/span>聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛庨湇灏?/span>聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛庢礇浼﹀吂聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 D锛庢硶鎷夌

15锛庤嫢涓€鍧囧寑鐞冨舰鏄熶綋鐨勫瘑搴︿负蟻锛屽紩鍔涘父閲忎负G锛屽垯鍦ㄨ鏄熶綋琛ㄩ潰闄勮繎娌垮渾杞ㄩ亾缁曞叾杩愬姩鐨勫崼鏄熺殑鍛ㄦ湡鏄?/span>

A锛?/span>聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛?/span>聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 D锛?/span>

16锛庡鍥撅紝鍦ㄦ懇鎵樿溅瓒婇噹璧涢€斾腑鐨勬按骞宠矾娈靛墠鏂规湁涓€涓潙锛岃鍧戞部鎽╂墭杞﹀墠杩涙柟鍚戠殑姘村钩瀹藉害涓?/span>3h锛屽叾宸﹁竟缂?/span>a鐐规瘮鍙宠竟缂?/span>b鐐归珮0.5h銆傝嫢鎽╂墭杞︾粡杩?/span>a鐐规椂鐨勫姩鑳戒负E₁锛屽畠浼氳惤鍒板潙鍐?/span>c鐐广€?/span>c涓?/span>a鐨勬按骞宠窛绂诲拰楂樺害宸潎涓?/span>h锛涜嫢缁忚繃a鐐规椂鐨勫姩鑳戒负E₂锛岃鎽╂墭杞︽伆鑳借秺杩囧潙鍒拌揪b鐐广€?/span>绛変簬

聽

A锛?/span>20聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>18聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛?/span>9.0聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 D锛?/span>3.0

17锛?/span>CT鎵弿鏄绠楁満X灏勭嚎鏂眰鎵弿鎶€鏈殑绠€绉帮紝CT鎵弿鏈哄彲鐢ㄤ簬瀵瑰绉嶇梾鎯呯殑鎺㈡祴銆傚浘锛?/span>a锛夋槸鏌愮CT鏈轰富瑕侀儴鍒嗙殑鍓栭潰鍥撅紝鍏朵腑X灏勭嚎浜х敓閮ㄥ垎鐨勭ず鎰忓浘濡傚浘锛?/span>b锛夋墍绀恒€傚浘锛?/span>b锛変腑M銆?/span>N涔嬮棿鏈変竴鐢靛瓙鏉熺殑鍔犻€熺數鍦猴紝铏氱嚎妗嗗唴鏈夊寑寮哄亸杞鍦猴紱缁忚皟鑺傚悗鐢靛瓙鏉熶粠闈欐寮€濮嬫部甯︾澶寸殑瀹炵嚎鎵€绀虹殑鏂瑰悜鍓嶈繘锛屾墦鍒伴澏涓婏紝浜х敓X灏勭嚎锛堝鍥句腑甯︾澶寸殑铏氱嚎鎵€绀猴級锛涘皢鐢靛瓙鏉熸墦鍒伴澏涓婄殑鐐硅涓?/span>P鐐广€傚垯

A锛?/span>M澶勭殑鐢靛娍楂樹簬N澶勭殑鐢靛娍

B锛庡澶?/span>M銆?/span>N涔嬮棿鐨勫姞閫熺數鍘嬪彲浣?/span>P鐐瑰乏绉?/span>

C锛庡亸杞鍦虹殑鏂瑰悜鍨傜洿浜庣焊闈㈠悜澶?/span>

D锛庡澶у亸杞鍦虹鎰熷簲寮哄害鐨勫ぇ灏忓彲浣?/span>P鐐瑰乏绉?/span>

18锛庢皹鏍?/span>鍙€氳繃涓€绯诲垪鑱氬彉鍙嶅簲閲婃斁鑳介噺锛屽叾鎬绘晥鏋滃彲鐢ㄥ弽搴斿紡

琛ㄧず銆傛捣姘翠腑瀵屽惈姘橈紝宸茬煡1kg娴锋按涓惈鏈夌殑姘樻牳绾︿负1.0脳10²²涓紝鑻ュ叏閮藉彂鐢熻仛鍙樺弽搴旓紝鍏堕噴鏀剧殑鑳介噺涓庤川閲忎负M鐨勬爣鍑嗙叅鐕冪儳鏃堕噴鏀剧殑鐑噺鐩哥瓑锛涘凡鐭?/span>1 kg鏍囧噯鐓ょ噧鐑ч噴鏀剧殑鐑噺绾︿负2.9脳10⁷ J锛?/span>1 MeV= 1.6脳10^鈥?/span>13 J锛屽垯M绾︿负

A锛?/span>40 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>100 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛?/span>400聽 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 D锛?/span>1 000 kg

 

19锛庣壒楂樺帇杈撶數鍙娇杈撻€佷腑鐨勭數鑳芥崯鑰楀拰鐢靛帇鎹熷け澶у箙闄嶄綆銆傛垜鍥藉凡鎴愬姛鎺屾彙骞跺疄闄呭簲鐢ㄤ簡鐗归珮鍘嬭緭鐢垫妧鏈€傚亣璁句粠A澶勯噰鐢?/span>550 kV鐨勮秴楂樺帇鍚?/span>B澶勮緭鐢碉紝杈撶數绾夸笂鎹熻€楃殑鐢靛姛鐜囦负鈭?i>P锛屽埌杈?/span>B澶勬椂鐢靛帇涓嬮檷浜?/span>鈭?i>U銆傚湪淇濇寔A澶勮緭閫佺殑鐢靛姛鐜囧拰杈撶數绾跨數闃婚兘涓嶅彉鐨勬潯浠朵笅锛屾敼鐢?/span>1 100 kV鐗归珮鍘嬭緭鐢碉紝杈撶數绾夸笂鎹熻€楃殑鐢靛姛鐜囧彉涓?/span>鈭?i>P鈥?/span>锛屽埌杈?/span>B澶勬椂鐢靛帇涓嬮檷浜?/span>鈭?i>U鈥?/span>銆備笉鑰冭檻鍏朵粬鍥犵礌鐨勫奖鍝嶏紝鍒?/span>

A锛?/span>鈭?i>P鈥?鈭?i>P聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>鈭?i>P鈥?鈭?i>P聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛?/span>鈭?i>U鈥?鈭?i>U聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>鈭?i>U鈥?鈭?i>U

20锛庡鍥撅紝绔栫洿闈㈠唴涓€缁濈紭缁嗗渾鐜殑涓娿€佷笅鍗婂渾鍒嗗埆鍧囧寑鍒嗗竷鐫€绛夐噺寮傜鐢佃嵎銆?/span>a銆?/span>b涓哄渾鐜按骞崇洿寰勪笂鐨勪袱涓偣锛?/span>c銆?/span>d涓虹珫鐩寸洿寰勪笂鐨勪袱涓偣锛屽畠浠笌鍦嗗績鐨勮窛绂诲潎鐩哥瓑銆傚垯

A锛?/span>a銆?/span>b涓ょ偣鐨勫満寮虹浉绛?/span>

B锛?/span>a銆?/span>b涓ょ偣鐨勭數鍔跨浉绛?/span>

C锛?/span>c銆?/span>d涓ょ偣鐨勫満寮虹浉绛?/span>

D锛?/span>c銆?/span>d涓ょ偣鐨勭數鍔跨浉绛?/span>

21锛庢按骞冲啺闈笂鏈変竴鍥哄畾鐨勭珫鐩存尅鏉匡紝涓€婊戝啺杩愬姩鍛橀潰瀵规尅鏉块潤姝㈠湪鍐伴潰涓婏紝浠栨妸涓€璐ㄩ噺涓?/span>4.0 kg鐨勯潤姝㈢墿鍧椾互澶у皬涓?/span>5.0 m/s鐨勯€熷害娌夸笌鎸℃澘鍨傜洿鐨勬柟鍚戞帹鍚戞尅鏉匡紝杩愬姩鍛樿幏寰楅€€琛岄€熷害锛涚墿鍧椾笌鎸℃澘寮规€х鎾烇紝閫熷害鍙嶅悜锛岃拷涓婅繍鍔ㄥ憳鏃讹紝杩愬姩鍛樺張鎶婄墿鍧楁帹鍚戞尅鏉匡紝浣垮叾鍐嶄竴娆′互澶у皬涓?/span>5.0 m/s鐨勯€熷害涓庢尅鏉垮脊鎬х鎾炪€傛€诲叡缁忚繃8娆¤繖鏍锋帹鐗╁潡鍚庯紝杩愬姩鍛橀€€琛岄€熷害鐨勫ぇ灏忓ぇ浜?/span>5.0 m/s锛屽弽寮圭殑鐗╁潡涓嶈兘鍐嶈拷涓婅繍鍔ㄥ憳銆備笉璁″啺闈㈢殑鎽╂摝鍔涳紝璇ヨ繍鍔ㄥ憳鐨勮川閲忓彲鑳戒负

A锛?/span>48 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 B锛?/span>53 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 C锛?/span>58 kg聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 D锛?/span>63 kg

涓夈€侀潪閫夋嫨棰橈細鍏?/span>174鍒嗭紝绗?/span>22~32棰樹负蹇呰€冮锛屾瘡涓瘯棰樿€冪敓閮藉繀椤讳綔绛斻€傜33~38棰樹负閫夎€冮锛岃€冪敓鏍规嵁瑕佹眰浣滅瓟銆?/span>

锛堜竴锛夊繀鑰冮锛氬叡129鍒嗐€?/span>

22锛庯紙5鍒嗭級

涓€缁嗙怀璺ㄨ繃鎮寕鐨勫畾婊戣疆锛屼袱绔垎鍒郴鏈夊皬鐞?/span>A鍜?/span>B锛屽鍥炬墍绀恒€備竴瀹為獙灏忕粍鐢ㄦ瑁呯疆娴嬮噺灏忕悆B杩愬姩鐨勫姞閫熷害銆?/span>

浠や袱灏忕悆闈欐锛岀粏缁虫媺绱э紝鐒跺悗閲婃斁灏忕悆锛屾祴寰楀皬鐞?/span>B閲婃斁鏃剁殑楂樺害h₀=0.590 m锛屼笅闄嶄竴娈佃窛绂诲悗鐨勯珮搴?/span>h=0.100 m锛涚敱h₀涓嬮檷鑷?/span>h鎵€鐢ㄧ殑鏃堕棿T=0.730 s銆傜敱姝ゆ眰寰楀皬鐞?/span>B鍔犻€熷害鐨勫ぇ灏忎负a=_______m/s²锛堜繚鐣?/span>3浣嶆湁鏁堟暟瀛楋級銆?/span>

浠庡疄楠屽鎻愪緵鐨勬暟鎹緱鐭ワ紝灏忕悆A銆?/span>B鐨勮川閲忓垎鍒负100.0 g鍜?/span>150.0 g锛屽綋鍦伴噸鍔涘姞閫熷害澶у皬涓?/span>g=9.80 m/s²銆傛牴鎹墰椤跨浜屽畾寰?/span>璁＄畻鍙緱灏忕悆B鍔犻€熷害鐨勫ぇ灏忎负a鈥?_______m/s²锛堜繚鐣?/span>3浣嶆湁鏁堟暟瀛楋級銆?/span>

鍙互鐪嬪嚭锛?/span>a鈥?/span>涓?/span>a鏈夋槑鏄惧樊寮傦紝闄ゅ疄楠屼腑鐨勫伓鐒惰宸锛屽啓鍑轰竴鏉″彲鑳戒骇鐢熻繖涓€缁撴灉鐨勫師鍥狅細______________________銆?/span>

23锛庯紙10鍒嗭級

鏌愬悓瀛﹁鐮旂┒涓€灏忕伅娉?/span>L锛?/span>3.6 V锛?/span>0.30 A锛夌殑浼忓畨鐗规€с€傛墍鐢ㄥ櫒鏉愭湁锛氱數娴佽〃A₁锛堥噺绋?/span>200 mA锛屽唴闃?/span>R_g1=10.0 惟锛夛紝鐢垫祦琛?/span>A₂锛堥噺绋?/span>500 mA锛屽唴闃?/span>R_g2=1.0 惟锛夈€佸畾鍊肩數闃?/span>R₀锛堥樆鍊?/span>R₀=10.0 惟锛夈€佹粦鍔ㄥ彉闃诲櫒R₁锛堟渶澶ч樆鍊?/span>10 惟锛夈€佺數婧?/span>E锛堢數鍔ㄥ娍4.5 V锛屽唴闃诲緢灏忥級銆佸紑鍏?/span>S鍜岃嫢骞插绾裤€傝鍚屽璁捐鐨勭數璺鍥撅紙a锛夋墍绀恒€?/span>

锛?/span>1锛夋牴鎹浘锛?/span>a锛夛紝鍦ㄥ浘锛?/span>b锛夌殑瀹炵墿鍥句腑鐢诲嚭杩炵嚎銆?/span>

鍥撅紙a锛?/span>

锛?/span>2锛夎嫢I₁銆?/span>I₂鍒嗗埆涓烘祦杩囩數娴佽〃A₁鍜?/span>A₂鐨勭數娴侊紝鍒╃敤I₁銆?/span>I₂銆?/span>R_g1鍜?/span>R₀鍐欏嚭锛氬皬鐏场涓ょ鐨勭數鍘?/span>U=_______锛屾祦杩囧皬鐏场鐨勭數娴?/span>I=_______銆備负淇濊瘉灏忕伅娉＄殑瀹夊叏锛?/span>I₁涓嶈兘瓒呰繃_______mA銆?/span>

锛?/span>3锛夊疄楠屾椂锛岃皟鑺傛粦鍔ㄥ彉闃诲櫒锛屼娇寮€鍏抽棴鍚堝悗涓ょ數娴佽〃鐨勭ず鏁颁负闆躲€傞€愭鏀瑰彉婊戝姩鍙橀樆鍣ㄦ粦鐗囦綅缃苟璇诲彇鐩稿簲鐨?/span>I₁鍜?/span>I₂銆傛墍寰楀疄楠屾暟鎹湪涓嬭〃涓粰鍑恒€?/span>

鏍规嵁瀹為獙鏁版嵁鍙畻寰楋紝褰?/span>I₁=173 mA鏃讹紝鐏笣鐢甸樆R=_______惟锛堜繚鐣?/span>1浣嶅皬鏁帮級銆?/span>

锛?/span>4锛夊鏋滅敤鍙︿竴涓數闃绘浛浠ｅ畾鍊肩數闃?/span>R₀锛屽叾浠栦笉鍙橈紝涓轰簡鑳藉娴嬮噺瀹屾暣鐨勪紡瀹夌壒鎬ф洸绾匡紝鎵€鐢ㄧ數闃荤殑闃诲€间笉鑳藉皬浜?/span>_______惟锛堜繚鐣?/span>1浣嶅皬鏁帮級銆?/span>

24锛庯紙12鍒嗭級

濡傚浘锛屽湪0鈮?i>x鈮?i>h锛?/span>鍖哄煙涓瓨鍦ㄦ柟鍚戝瀭鐩翠簬绾搁潰鐨勫寑寮虹鍦猴紝纾佹劅搴斿己搴?/span>B鐨勫ぇ灏忓彲璋冿紝鏂瑰悜涓嶅彉銆備竴璐ㄩ噺涓?/span>m锛岀數鑽烽噺涓?/span>q锛?/span>q>0锛夌殑绮掑瓙浠ラ€熷害v₀浠庣鍦哄尯鍩熷乏渚ф部x杞磋繘鍏ョ鍦猴紝涓嶈閲嶅姏銆?/span>

锛?/span>1锛夎嫢绮掑瓙缁忕鍦哄亸杞悗绌胯繃y杞存鍗婅酱绂诲紑纾佸満锛屽垎鏋愯鏄庣鍦虹殑鏂瑰悜锛屽苟姹傚湪杩欑鎯呭喌涓嬬鎰熷簲寮哄害鐨勬渶灏忓€?/span>B_m锛?/span>

锛?/span>2锛夊鏋滅鎰熷簲寮哄害澶у皬涓?/span>锛岀矑瀛愬皢閫氳繃铏氱嚎鎵€绀鸿竟鐣屼笂鐨勪竴鐐圭寮€纾佸満銆傛眰绮掑瓙鍦ㄨ鐐圭殑杩愬姩鏂瑰悜涓?/span>x杞存鏂瑰悜鐨勫す瑙掑強璇ョ偣鍒?/span>x杞寸殑璺濈銆?/span>

25.锛?/span>20鍒嗭級

濡傚浘锛屼竴绔栫洿鍦嗙璐ㄩ噺涓?/span>M锛屼笅绔窛姘村钩鍦伴潰鐨勯珮搴︿负H锛岄《绔鏈変竴璐ㄩ噺涓?/span>m鐨勫皬鐞冦€傚渾绠＄敱闈欐鑷敱涓嬭惤锛屼笌鍦伴潰鍙戠敓澶氭寮规€х鎾烇紝涓旀瘡娆＄鎾炴椂闂村潎鏋佺煭锛涘湪杩愬姩杩囩▼涓紝绠″缁堜繚鎸佺珫鐩淬€傚凡鐭?/span>M =4m锛岀悆鍜岀涔嬮棿鐨勬粦鍔ㄦ懇鎿﹀姏澶у皬涓?/span>4mg, g涓洪噸鍔涘姞閫熷害鐨勫ぇ灏忥紝涓嶈绌烘皵闃诲姏銆?/span>

锛?/span>1锛夋眰绠＄涓€娆′笌鍦伴潰纰版挒鍚庣殑鐬棿锛岀鍜岀悆鍚勮嚜鐨勫姞閫熷害澶у皬锛?/span>

锛?/span>2锛夌绗竴娆¤惤鍦板脊璧峰悗锛屽湪涓婂崌杩囩▼涓悆娌℃湁浠庣涓粦鍑猴紝姹傜涓婂崌鐨勬渶澶ч珮搴︼紱

锛?/span>3锛夌绗簩娆¤惤鍦板脊璧风殑涓婂崌杩囩▼涓紝鐞冧粛娌℃湁浠庣涓粦鍑猴紝姹傚渾绠￠暱搴﹀簲婊¤冻鐨勬潯浠躲€?/span>

锛堜簩锛夐€夎€冮锛氬叡45鍒嗐€傝鑰冪敓浠?/span>2閬撶墿鐞嗛銆?/span>2閬撳寲瀛﹂銆?/span>2閬撶敓鐗╅涓瘡绉戜换閫変竴棰樹綔绛斻€傚鏋滃鍋氾紝鍒?/span>姣忕鎸夋墍鍋氱殑绗竴棰樿鍒嗐€?/span>

33锛?/span>[鐗╃悊鈥斺€?/span>閫変慨3鈥?]锛?/span>15鍒嗭級

锛?/span>1锛夛紙5鍒嗭級涓嬪垪鍏充簬鑳介噺杞崲杩囩▼鐨勫彊杩帮紝杩濊儗鐑姏瀛︾涓€瀹氬緥鐨勬湁_______锛屼笉杩濊儗鐑姏瀛︾涓€瀹氬緥銆佷絾杩濊儗鐑姏瀛︾浜屽畾寰嬬殑鏈?/span>_______銆?/span>锛堝～姝ｇ‘绛旀鏍囧彿锛?/span>

A锛?/span>姹借溅閫氳繃鐕冪儳姹芥补鑾峰緱鍔ㄥ姏骞跺悜绌烘皵涓暎鐑?/span>

B锛?/span>鍐锋按鍊掑叆淇濇俯鏉悗锛屽喎姘村拰鏉瓙鐨勬俯搴﹂兘鍙樺緱鏇翠綆

C锛?/span>鏌愭柊鍨嬬儹鏈哄伐浣滄椂灏嗕粠楂樻俯鐑簮鍚告敹鐨勭儹閲忓叏閮ㄨ浆鍖栦负鍔燂紝鑰屼笉浜х敓鍏朵粬褰卞搷

D锛?/span>鍐扮鐨勫埗鍐锋満宸ヤ綔鏃朵粠绠卞唴浣庢俯鐜涓彁鍙栫儹閲忔暎鍙戝埌娓╁害杈冮珮鐨勫鍐?/span>

锛?/span>2锛夛紙10鍒嗭級娼滄按閽熸槸涓€绉嶆按涓嬫晳鐢熻澶囷紝瀹冩槸涓€涓簳閮ㄥ紑鍙ｃ€佷笂閮ㄥ皝闂殑瀹瑰櫒锛屽褰笌閽熺浉浼笺€傛綔姘撮挓鍦ㄦ按涓嬫椂鍏跺唴閮ㄤ笂鏂圭┖闂撮噷瀛樻湁绌烘皵锛屼互婊¤冻娼滄按鍛樻按涓嬮伩闄╃殑闇€瑕併€備负璁＄畻鏂逛究锛屽皢娼滄按閽熺畝鍖栦负鎴潰绉负S銆侀珮搴︿负h銆佸紑鍙ｅ悜涓嬬殑鍦嗙瓛锛涘伐浣滄瘝鑸瑰皢娼滄按閽熺敱姘撮潰涓婃柟寮€鍙ｅ悜涓嬪悐鏀捐嚦娣卞害涓?/span>H鐨勬按涓嬶紝濡傚浘鎵€绀恒€傚凡鐭ユ按鐨勫瘑搴︿负蟻锛岄噸鍔涘姞閫熷害澶у皬涓?/span>g锛屽ぇ姘斿帇寮轰负p₀锛?/span>Hh锛屽拷鐣ユ俯搴︾殑鍙樺寲鍜屾按瀵嗗害闅忔繁搴︾殑鍙樺寲銆?/span>

锛?/span>i锛夋眰杩涘叆鍦嗙瓛鍐呮按鐨勯珮搴?/span>l锛?/span>

锛?/span>鈪?/span>锛変繚鎸?/span>H涓嶅彉锛屽帇鍏ョ┖姘斾娇绛掑唴鐨勬按鍏ㄩ儴鎺掑嚭锛屾眰鍘嬪叆鐨勭┖姘斿湪鍏跺帇寮轰负p₀鏃剁殑浣撶Н銆?/span>

34锛?/span>[鐗╃悊鈥斺€?/span>閫変慨3鈥?]锛?/span>15鍒嗭級

锛?/span>1锛夛紙5鍒嗭級鐢ㄤ竴涓憜闀夸负80.0 cm鐨勫崟鎽嗗仛瀹為獙锛岃姹傛憜鍔ㄧ殑鏈€澶ц搴﹀皬浜?/span>5掳锛屽垯寮€濮嬫椂灏嗘憜鐞冩媺绂诲钩琛′綅缃殑璺濈搴斾笉瓒呰繃_______cm锛堜繚鐣?/span>1浣嶅皬鏁帮級銆傦紙鎻愮ず锛氬崟鎽嗚鎷夊紑灏忚搴︾殑鎯呭喌涓嬶紝鎵€姹傜殑璺濈绾︾瓑浜庢憜鐞冩部鍦嗗姬绉诲姩鐨勮矾绋嬨€傦級

鏌愬悓瀛︽兂璁捐涓€涓柊鍗曟憜锛岃姹傛柊鍗曟憜鎽嗗姩10涓懆鏈熺殑鏃堕棿涓庡師鍗曟憜鎽嗗姩11涓懆鏈熺殑鏃堕棿鐩哥瓑銆傛柊鍗曟憜鐨勬憜闀垮簲璇ュ彇涓?/span>_______cm銆?/span>

锛?/span>2锛夛紙10鍒嗭級鐩磋妫遍暅鐨勬姌灏勭巼n=1.5锛屽叾妯埅闈㈠鍥炬墍绀猴紝鍥句腑鈭?/span>C=90掳锛?/span>鈭?/span>A=30掳銆傛埅闈㈠唴涓€缁嗘潫涓?/span>BC杈瑰钩琛岀殑鍏夌嚎锛屼粠妫遍暅AB杈逛笂鐨?/span>D鐐瑰皠鍏ワ紝缁忔姌灏勫悗灏勫埌BC杈逛笂銆?/span>

锛?/span>i锛夊厜绾垮湪BC杈逛笂鏄惁浼氬彂鐢熷叏鍙嶅皠?璇存槑鐞嗙敱锛?/span>

锛?/span>鈪?/span>锛変笉鑰冭檻澶氭鍙嶅皠锛屾眰浠?/span>AC杈瑰皠鍑虹殑鍏夌嚎涓庢渶鍒濈殑鍏ュ皠鍏夌嚎澶硅鐨勬寮﹀€笺€?/span>

2020骞存櫘閫氶珮绛夊鏍℃嫑鐢熷叏鍥界粺涓€鑰冭瘯

鐞嗙缁煎悎鍙傝€冪瓟妗?/span>

14锛?/span>D聽 15锛?/span>A聽 16锛?/span>B聽 17锛?/span>D聽 18锛?/span>C聽 19锛?/span>AD聽 20锛?/span>ABC聽 21锛?/span>BC

22锛?/span>1.84聽 1.96聽 婊戣疆鐨勮酱涓嶅厜婊戯紙鎴栨粦杞湁璐ㄩ噺锛?/span>

23锛庯紙1锛夊鍥炬墍绀恒€?/span>聽 锛?/span>2锛?/span> 聽I₂鈥?/span>I₁聽 180聽 锛?/span>3锛?/span>11.6聽 锛?/span>4锛?/span>8.0

24锛庤В锛氾紙1锛夌敱棰樻剰锛岀矑瀛愬垰杩涘叆纾佸満鏃跺簲鍙楀埌鏂瑰悜鍚戜笂鐨勬礇浼﹀吂鍔涳紝鍥犳纾佸満鏂瑰悜鍨傜洿浜庣焊闈㈠悜閲屻€傝绮掑瓙杩涘叆纾佸満涓仛鍦嗗懆杩愬姩鐨勫崐寰勪负R锛屾牴鎹礇浼﹀吂鍔涘叕寮忓拰鍦嗗懆杩愬姩瑙勫緥锛屾湁

鈶?/span>

鐢辨鍙緱

鈶?/span>

绮掑瓙绌胯繃y杞存鍗婅酱绂诲紑纾佸満锛屽叾鍦ㄧ鍦轰腑鍋氬渾鍛ㄨ繍鍔ㄧ殑鍦嗗績鍦?/span>y杞存鍗婅酱涓婏紝鍗婂緞搴旀弧瓒?/span>

鈶?/span>

鐢遍鎰忥紝褰撶鎰熷簲寮哄害澶у皬涓?/span>B_m鏃讹紝绮掑瓙鐨勮繍鍔ㄥ崐寰勬渶澶э紝鐢辨寰?/span>

鈶?/span>

锛?/span>2锛夎嫢纾佹劅搴斿己搴﹀ぇ灏忎负锛岀矑瀛愬仛鍦嗗懆杩愬姩鐨勫渾蹇冧粛鍦?/span>y杞存鍗婅酱涓婏紝鐢?/span>鈶♀懀寮忓彲寰楋紝姝ゆ椂鍦嗗姬鍗婂緞涓?/span>鈶?/span>

绮掑瓙浼氱┛杩囧浘涓?/span>P鐐圭寮€纾佸満锛岃繍鍔ㄨ建杩瑰鍥炬墍绀恒€傝绮掑瓙鍦?/span>P鐐圭殑杩愬姩鏂瑰悜涓?/span>x杞存鏂瑰悜鐨勫す瑙掍负伪锛?/span>

鐢卞嚑浣曞叧绯?/span>

鈶?/span>

鍗?/span>鈶?/span>

鐢卞嚑浣曞叧绯诲彲寰楋紝P鐐逛笌x杞寸殑璺濈涓?/span>

鈶?/span>

鑱旂珛鈶︹懅寮忓緱

鈶?/span>

25锛庤В锛氾紙1锛夌绗竴娆¤惤鍦板脊璧风殑鐬棿锛屽皬鐞冧粛鐒跺悜涓嬭繍鍔ㄣ€傝姝ゆ椂绠＄殑鍔犻€熷害澶у皬涓?/span>a₁锛屾柟鍚戝悜涓嬶紱鐞冪殑鍔犻€熷害澶у皬涓?/span>a₂锛屾柟鍚戝悜涓婏紱鐞冧笌绠′箣闂寸殑鎽╂摝鍔涘ぇ灏忎负f锛岀敱鐗涢】杩愬姩瀹氬緥鏈?/span>

Ma₁=Mg+f聽 鈶?/span>

ma₂= f鈥?mg聽 鈶?/span>

鑱旂珛鈶犫憽寮忓苟浠ｅ叆棰樼粰鏁版嵁锛屽緱

a₁=2g锛?/span>a₂=3g鈶?/span>

锛?/span>2锛夌绗竴娆＄鍦板墠涓庣悆鐨勯€熷害澶у皬鐩稿悓銆傜敱杩愬姩瀛﹀叕寮忥紝纰板湴鍓嶇灛闂村畠浠殑閫熷害澶у皬鍧囦负

鈶?/span>

鏂瑰悜鍧囧悜涓嬨€傜寮硅捣鐨勭灛闂达紝绠＄殑閫熷害鍙嶅悜锛岀悆鐨勯€熷害鏂瑰悜渚濈劧鍚戜笅銆?/span>

璁捐嚜寮硅捣鏃剁粡杩囨椂闂?/span>t₁锛岀涓庡皬鐞冪殑閫熷害鍒氬ソ鐩稿悓銆傚彇鍚戜笂涓烘鏂瑰悜锛岀敱杩愬姩瀛﹀叕寮?/span>

v₀鈥揳₁t₁= 鈥搗₀+a₂t₁鈶?/span>

鑱旂珛鈶⑩懀鈶?/span>寮忓緱

鈶?/span>

璁炬鏃剁涓嬬鐨勯珮搴︿负h₁锛岄€熷害涓?/span>v銆傜敱杩愬姩瀛﹀叕寮忓彲寰?/span>

鈶?/span>

鈶?/span>

鐢?/span>鈶⑩懀鈶モ懅寮忓彲鍒ゆ柇姝ゆ椂v>0銆傛鍚庯紝绠′笌灏忕悆灏嗕互鍔犻€熷害g鍑忛€熶笂鍗?/span>h₂锛屽埌杈炬渶楂樼偣銆傜敱杩愬姩瀛﹀叕寮忔湁鈶?/span>

璁剧绗竴娆¤惤鍦板脊璧峰悗涓婂崌鐨勬渶澶ч珮搴︿负H₁锛屽垯

H₁= h₁+ h₂鈶?/span>

鑱旂珛鈶⑩懀鈶モ懄鈶р懆鈶?/span>寮忓彲寰?/span>

鈶?/span>

锛?/span>3锛夎绗竴娆″脊璧疯繃绋嬩腑鐞冪浉瀵圭鐨勪綅绉讳负x₁銆傚湪绠″紑濮嬩笅钀藉埌涓婂崌H₁杩欎竴杩囩▼涓紝鐢卞姩鑳藉畾鐞嗘湁

Mg锛?/span>H鈥?i>H₁锛?/span>+mg锛?/span>H鈥?i>H₁+x₁锛?/span>鈥?mgx₁=0鈶?/span>

鑱旂珛鈶懌寮忓苟浠ｅ叆棰樼粰鏁版嵁寰?/span>

鈶?/span>

鍚岀悊鍙帹寰楋紝绠′笌鐞冧粠鍐嶆涓嬭惤鍒扮浜屾寮硅捣鑷虫渶楂樼偣鐨勮繃绋嬩腑锛岀悆涓庣鐨勭浉瀵逛綅绉?/span>x₂涓?/span>

鈶?/span>

璁惧渾绠￠暱搴︿负L銆傜绗簩娆¤惤鍦板脊璧峰悗鐨勪笂鍗囪繃绋嬩腑锛岀悆涓嶄細婊戝嚭绠″鐨勬潯浠舵槸

x₁+ x₂鈮?i>L鈶?/span>

鑱旂珛鈶懍鈶懏寮忥紝L搴旀弧瓒虫潯浠朵负

鈶?/span>

33锛?/span>锛?/span>1锛?/span>B聽 C

锛?/span>2锛夎В锛氾紙i锛夎娼滄按閽熷湪姘撮潰涓婃柟鏃跺拰鏀惧叆姘翠笅鍚庣瓛鍐呮皵浣撶殑浣撶Н鍒嗗埆涓?/span>V₀鍜?/span>V₁锛屾斁鍏ユ按涓嬪悗绛掑唴姘斾綋鐨勫帇寮轰负p₁锛岀敱鐜绘剰鑰冲畾寰嬪拰棰樼粰鏉′欢鏈?/span>

p₁V₁= p₀V₀聽聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

V₀=hS聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

V₁=锛?/span>h鈥?i>l锛?/span>S聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

p₁= p₀+ 蟻g锛?/span>H鈥?i>l锛?/span>聽聽 鈶?/span>

鑱旂珛浠ヤ笂鍚勫紡骞惰€冭檻鍒?/span>Hh>l锛岃В寰?/span>

聽聽聽聽聽聽聽聽聽 鈶?/span>

锛?/span>鈪?/span>锛夎姘村叏閮ㄦ帓鍑哄悗绛掑唴姘斾綋鐨勫帇寮轰负p₂锛涙鏃剁瓛鍐呮皵浣撶殑浣撶Н涓?/span>V₀锛岃繖浜涙皵浣撳湪鍏跺帇寮轰负p₀鏃剁殑浣撶Н涓?/span>V₃锛岀敱鐜绘剰鑰冲畾寰嬫湁

p₂V₀= p₀V_{3聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽} 鈶?/span>

鍏朵腑p₂= p₀+ 蟻gH聽聽聽 鈶?/span>

璁鹃渶鍘嬪叆绛掑唴鐨勬皵浣撲綋绉负V锛屼緷棰樻剰

V = V₃鈥?i>V_{0 聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽} 鈶?/span>

鑱旂珛鈶♀懃鈶︹懅寮忓緱

聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

34锛庯紙1锛?/span>6.9聽 96.8

锛?/span>2锛?/span>瑙ｏ細锛?/span>i锛夊鍥撅紝璁惧厜绾垮湪D鐐圭殑鍏ュ皠瑙掍负i锛屾姌灏勮涓?/span>r銆傛姌灏勫厜绾垮皠鍒?/span>BC杈逛笂鐨?/span>E鐐广€傝鍏夌嚎鍦?/span>E鐐圭殑鍏ュ皠瑙掍负锛岀敱鍑犱綍鍏崇郴锛屾湁

=90掳鈥擄紙30掳鈥?/span>r锛?/span>> 60掳聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

鏍规嵁棰樼粰鏁版嵁寰?/span>

sin> sin60掳>聽聽聽聽聽 鈶?/span>

鍗?/span>胃澶т簬鍏ㄥ弽灏勪复鐣岃锛屽洜姝ゅ厜绾垮湪E鐐瑰彂鐢熷叏鍙嶅皠銆?/span>

锛?/span>ii锛夎鍏夌嚎鍦?/span>AC杈逛笂鐨?/span>F鐐瑰皠鍑烘１闀滐紝鍏夌嚎鐨勫叆灏勮涓?/span>i\'锛屾姌灏勮涓?/span>r\'锛岀敱鍑犱綍鍏崇郴銆佸弽灏勫畾寰嬪強鎶樺皠瀹氬緥锛屾湁

i= 30掳聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

i\' =90掳鈥?/span>胃聽聽聽聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

sin i = nsinr聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

nsini\' = sinr\'聽聽聽聽聽聽聽聽聽聽聽聽 鈶?/span>

鑱旂珛鈶犫憿鈶ｂ懁鈶?/span>寮忓苟浠ｅ叆棰樼粰鏁版嵁锛屽緱

聽聽聽聽聽聽 鈶?/span>

鐢卞嚑浣曞叧绯伙紝r\'鍗?/span>AC杈瑰皠鍑虹殑鍏夌嚎涓庢渶鍒濈殑鍏ュ皠鍏夌嚎鐨勫す瑙掋€?/span>