專科升本科數學題

A. 涓撳崌鏈鐨勬暟瀛﹂樼洰

鏍規嵁瀵兼暟鐨勫畾涔
f'(a)=lim [f(x)-f(a)]/(x-a) =lim[f(a+鈻硏)-f(a)]/鈻硏
(1)鍒氬ソ鍜屽畾涔夌浉宸涓涓絎﹀彿
(2)浠 鈻硏=-h錛屽師寮=lim[f(a+鈻硏)-f(a)]/-鈻硏=-a

B. 涓撳崌鏈鏁板﹁冩牳鑼冨洿鏄浠涔堬紵鏈夊摢浜涢樺瀷錛

涓撳崌鏈鏁板﹁冩牳鑼冨洿鏄浠涔堬紵鏈夊摢浜涢樺瀷錛熸暣鐞嗕簡涓緋誨垪鐩稿叧鍐呭癸紝甯屾湜瀵規偍鏈夋墍鍙傝冨拰甯鍔┿
鑰冩牳鑼冨洿鏄鍑芥暟銆佹瀬闄愬拰榪炵畫銆佷竴鍏冨嚱鏁板井鍒嗗︺佷竴鍏冨嚱鏁扮Н鍒嗗﹀拰澶氬厓鍑芥暟寰縐鍒嗗垵姝ョ瓑鍥涗釜閮ㄥ垎銆
涓撳崌鏈鏁板﹁冭瘯璇曞嵎涓鍖呮嫭閫夋嫨棰橈紙鍗曢」閫夋嫨棰橈級錛岀害鍗15%錛涘～絀洪橈紝綰﹀崰25%錛涜В絳旈橈紝綰﹀崰60%銆傝瘯鍗蜂腑錛岄夋嫨棰樻瘡灝忛4鍒嗭紝鍏5涓灝忛橈紝璁20鍒嗭紝綰﹀崰13.3%錛涘～絀洪樻瘡灝忛4鍒嗭紝鍏10涓灝忛橈紝璁40鍒嗭紝綰﹀崰26.7%錛涜В絳旈樼殑鍓10涓灝忛橈紝姣忓皬棰6鍒嗭紝鍚3涓灝忛樻瘡灝忛10鍒嗭紝鍏辮90鍒嗭紝綰﹀崰60%銆
涓撳崌鏈鏁板﹀﹀＋鏂規硶鍜屾妧宸
鍏繪垚璁ょ湡璋ㄦ厧鐨勪範鎯錛
棣栧厛鏄鍦ㄥ￠樻椂瑕佽ょ湡錛屽崈涓囦笉鑳界湅閿欓樼洰瑕佹眰錛屽叾嬈℃槸鍦ㄨ崏綰鎬笂婕旂畻鏃惰佽ょ湡鍐欐暣榻愶紝浠ヤ究鍑忓皯閿欒鐜囷紝涔熷埄浜庢鏌ャ傛棤璁烘槸鍋氬ぇ棰樿繕鏄灝忛橈紝閮戒笉鑳芥帀浠ヨ交蹇冦
鍠勪簬鎬葷粨鍜屽綊綰籌細
鍦ㄥ仛瀹岄樹箣鍚庯紝瑕佹葷粨涓涓嬭嚜宸卞嚭閿欑殑鐨勫師鍥狅紝鏈夊摢浜涙柊鐨勬柟娉曞拰鎬濊礬錛屾妸瀹冧滑閮芥暣鐞嗗埌絎旇版湰涓婏紝浠ヤ究鍚庢湡鍐嶈繘琛屽洖欏撅紝姝ゅ栵紝鍋氶樺悗涓瀹氳佸氭濊冿紝鎯蟲兂瑙ｉ樻濊礬鐨勫彲鍙栦箣澶勶紝縐緔璧鋒潵錛屼互鍚庣板埌綾諱技鐨勯樼洰灝變細鑱旂郴璧鋒潵錛岃兘澶熻╂垜浠蹇閫熸壘鍒拌В棰樼殑鏂規硶銆

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C. 涓撳崌鏈鎴愯冩暟瀛︾瓟棰樻妧宸

錛屼竴鑸鎯呭喌涓嬮夋嫨棰樺墠闈㈠嚑閬撻橀潪甯哥畝鍗曪紝濡傛灉浣犱笉浼氬仛涔熸病浜嬶紝鍙浠ユ妸閫夐」涓涓涓涓寰棰樼洰閲岄潰濂楋紝浣犳劅瑙夊摢涓姝ｇ『灝遍夊摢涓鍗沖彲銆備笅闈浠嬬粛鎴愪漢楂樿冧笓鍗囨湰鏁板︾瓟棰樻妧宸э紝甯屾湜鍙浠ヤ負鎮ㄥ甫鏉ュ府鍔┿

鎴愪漢楂樿冧笓鍗囨湰鏁板︾瓟棰樻妧宸

閫夋嫨棰橈細

涓鑸鎯呭喌涓嬮夋嫨棰樺墠闈㈠嚑閬撻橀潪甯哥畝鍗曪紝濡傛灉浣犱笉浼氬仛涔熸病浜嬶紝鍙浠ユ妸閫夐」涓涓涓涓寰棰樼洰閲岄潰濂楋紝浣犳劅瑙夊摢涓姝ｇ『灝遍夊摢涓鍗沖彲銆

鎹緇熻★紝17閬撻夋嫨棰橈紝ABCD浠繪剰涓涓閫夐」鎴愪負姝ｇ『絳旀堢殑嬈℃暟涓3-5嬈°

涓棰橀兘涓嶄細鍐欙紝涔熶竴瀹氳佸叏閮ㄧ殑絳旀弧錛屼笉鑳藉叏閮ㄥ啓涓鏍風殑絳旀堣繖鏍蜂細涓鍒嗛兘娌℃湁銆

鍙浼氬啓1-2棰橈紝鍓╀笅鐨15棰橀兘鍐欒窡鑷宸辨噦鍐欓樼殑絳旀堜笉涓鏍風殑閫夐」錛岃繖鏍瘋嚦灝戝彲浠ュ緱20鍒嗐備緥濡傦紝浼氬啓鐨勯樹竴棰橀堿錛屼竴棰橀塀錛岄偅涔堜笉鎳傚啓鐨15棰橀兘鍐機鎴栬匘銆

鎳傚啓3棰樹互涓婏紝鐪嬬湅鑷宸辨噦鍐欑殑絳旀堜腑ABCD鍝涓閫夐」鍑虹幇鐨勬℃暟灝戱紝閭ｄ箞涓嶆噦鍐欑殑棰樼洰閮藉啓閭ｄ釜閫夐」錛岃繖鏍瘋嚦灝戝彲浠ュ緱30鍒嗕互涓娿備緥濡傦細鎳傚啓6棰橈紝絳旀堝垎鍒鏄疉AABBC錛岄偅涓嶆噦鍐欑殑灝遍兘鍐橠銆傚洜涓篈鎴愪負姝ｇ『絳旀堢殑嬈℃暟涓鑸涓嶈秴榪5棰橈紝鐜板湪宸茬粡鍐欏嚭涓夐橀堿浜嗭紝浠庢傜巼鐨勮掑害鏉ヨ碅鏈澶氫細鍐嶅嚭鐜頒袱嬈★紝鑰孌鍒欎細鍑虹幇3-5嬈°

濉絀洪橈細

濉絀洪樺拰閫夋嫨棰樼浉姣旀病鏈夐夐」鍙鍊熼壌錛岄偅鎬庝箞鍔炲憿?緇欎綘涓灝忔妧宸э紝涓鑸鎯呭喌涓嬮夋嫨棰樼殑絳旀堝嚭鐜0銆1銆2鐨勬傜巼鏄闈炲父澶х殑錛屼綘濡傛灉涓嶄細鍋氶偅灝辨嬁鐫榪欎笁涓鏁板線閲岄潰濂楋紝鎰熻夊摢涓瀵癸紝灝卞～閭ｄ釜銆傚垏蹇屼竴鐐癸紝涓嶈侀兘濉涓鏍風殑錛屼笂闈㈢殑閫夋嫨棰樹篃鏄錛屼笉鑳介変竴鏍風殑錛屽惁鍒0鍒嗐

瑙ｇ瓟棰橈細

瑙ｇ瓟棰樺緢澶氫漢鐢變簬娼滄剰璇嗚や負瓚呴毦錛屽氨涓嶇瓟浜嗭紝榪欐牱灝變竴鐐瑰垎鏁伴兘涓嶅緱浜嗐傜幇鍦ㄥ︾敓鍦ㄨ繘琛屼腑鑰冮珮鑰冩椂錛岃佸笀閮借達紝涓嶄細鍋氱殑涔熶笉瑕佺┖鐫錛岃佽茬┒鎶宸э紝涓鐐圭偣鐨勪粠闃呭嵎鑰佸笀閭ｉ噷浜夊垎錛岄偅涔堟庝箞浜夊憿?

棣栧厛錛屼綘鎶娾滆В鈥濆瓧鍐欎笂錛屽啓榪1涓瀛楀氨緇欎綘1-2鍒嗐

鐒跺悗鎶婂叕寮忓垪涓婏紝灝辨槸鍜岃繖涓棰樼洰鐩哥被浼肩殑鍏寮忥紝鎯沖埌鍑犱釜鍐欏嚑涓錛岃繖鏍蜂笉綆″逛笉浼氾紝鑰佸笀涔熶細緇欎綘2-3鍒嗐傝繖鏍蜂綘澶х害鑳藉緱鍒3-5鍒嗕簡錛岃繖涓鍒嗘暟涓嶅氨鏄鐧芥潵鐨勪箞?褰撶劧鍚庨潰榪樺彲浠ユ妸絳斿啓涓娿備腑闂寸殑姝ラゅ氨鏄鎶婁綘鍐欑殑鍏寮忓彉鍖栦竴涓嬶紝鑳介『涓嬫潵澶氬皯鏄澶氬皯錛岃兘鎯沖埌鐨勬ラよ兘鍐欎笂灝卞啓涓婏紝鍙嶆ｉ兘鎬濊冧簡錛屼笉鍐欑櫧涓嶅啓錛屽啓浜嗗氨鏈夊彲鑳藉緱鍒嗐

鎬諱箣錛屾棤璁轟換浣曢樺瀷錛屾兂鍔炴硶寰鏈鍙鑳界殑絳旀堝啓錛屾棤璁烘噦鍚︼紝涓瀹氳佸線涓嬪啓錛屽敖閲忓氬啓銆備笉鑳芥槸絀虹櫧銆

鎴愪漢楂樿冩暟瀛﹀嶄範鏂規硶

澶嶄範宸╁滻鍩烘湰鐭ヨ瘑

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鍙傚姞寮哄寲璁緇冪彮

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閫夋嫨鍋氱湡棰樿瘯鍗

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閫夋嫨浼氬仛鐨勯樺仛

鍦ㄨ冨満涓婏紝鍙閫夋嫨鑷宸變細鍋氱殑棰樼洰鍏堝仛錛屽崟欏歸夋嫨棰樺拰濉絀洪樿佷簤鍙栧叏絳旓紝涓嶈佺┖鐫銆傝瘯鍗鋒湁鍑犻〉錛屽叡鏈夊氬皯棰橈紝鑰冭瘯寮濮嬪悗瑕佸績涓鏈夋暟錛岃佷簤鍙栧氳В鍑犻亾棰橈紝涓嶈佸湪涓閬撻樹笂鑺辮垂寰堥暱鏃墮棿錛岃屽獎鍝嶄簡瑙ｅ叾浠栭樸