大一数学疑问求解答 大一数学求解答
\u5927\u4e00\u9ad8\u6570\u95ee\u9898\u6c42\u89e3\u7b54\u80af\u5b9a\u662f\u4e3e\u53cd\u4f8b\uff0c\u4f46\u662f\u524d\u9762\u4e24\u4e2a\u89e3\u7b54\u6240\u4e3e\u7684\u4f8b\u5b50\u90fd\u4e0d\u5bf9\uff0c\u4e00\u4e2a un \u6781\u9650\u662f 0\uff0c\u4e00\u4e2a vn \u6781\u9650\u662f 0\u3002
\u4f8b\u5b50\u5176\u5b9e\u5f88\u597d\u4e3e\uff0c\u6bd4\u5982
un\uff1a0\uff0c1\uff0c0\uff0c1\uff0c0\uff0c1\uff0c\u2026\u2026
vn\uff1a1\uff0c0\uff0c1\uff0c0\uff0c1\uff0c0\uff0c\u2026\u2026
\u4e24\u4e2a\u6781\u9650\u90fd\u4e0d\u5b58\u5728\uff0c\u4f46 unvn \u6781\u9650\u662f 0 \u3002
绛旓細璇佹槑锛氫护f(x)=x^5-3x-1f(x)鍦ㄥ尯闂碵1,2]涓婅繛缁璮(1)=-3<0,f(2)=25>0鐢变腑闂村煎畾鐞嗙殑鎺ㄨ,锛1,2锛夊唴蹇呭瓨鍦ㄤ竴鐐刮句娇寰梖(尉)=0杩欎釜尉鍗虫槸鍘熸柟绋嬬殑鏍 璁緁(x)=a+x^2(x<-1),f(x)=1(x=-1).f(x)=ln(b+x+x^2),(x>-1),f(x)鍦▁=-1澶勮繛缁 鎵浠(x)鍦▁=-1鍙...
绛旓細鍥炵瓟锛氫笉鐭ラ亾浣犳湁娌℃湁瀛﹁繃姹傚鍟,灏辨槸姹傚鏁,浠ゅ鏁板ぇ浜0,姹傚嚭鐨剎鐨勮寖鍥存槸澧炲嚱鏁,灏忎簬0鐨勫噺鍑芥暟,绛変簬0鐨勫氨鏄瀬鍊肩偣浜
绛旓細姹俤y=?瑙ｏ細dy=(2/3)x^(-1/3)dx 璁緔=2x^3+3x;姹倅''=?瑙ｏ細y鈥=6x^2+3 y鈥=12x y=ex^(e-x),姹倅'=锛熻В锛氫袱杈瑰彇瀵规暟锛屽緱锛歭ny=1+(e-x)lnx 涓よ竟鍙栧鏁帮紝寰楋細y鈥/ y=-lnx+(e-x)/x 鈭磞鈥=y[(-lnx)+(e-x)/x]=[ex^(e-x)][(-lnx)+(e-x)/x]3銆佽鏄庝笅鍒...
绛旓細鍥
绛旓細锛1锛塮(x)=(x²-1)/(x²-4x+3)f(x)=(x+1)(x-1)/銆(x-1)(x-3)銆憍=1涓虹涓绫婚棿鏂偣锛屽彲鍘婚棿鏂偣 f(x)=(x+1)/(x-3)lim(x+1)/(x-3)=鈭 x=3涓虹浜岀被闂存柇鐐 x鈫3 锛2锛塮(x)=tanx/|x| limtanx/|x|=lim x/|x|=-1 x鈫0- limtanx/|x|=li...
绛旓細娲涘繀杈炬硶鍒(L'Holpital's Rule)锛屾槸鍦ㄤ竴瀹氭潯浠朵笅閫氳繃鍒嗗瓙鍒嗘瘝鍒嗗埆姹傚鍐嶆眰鏋侀檺鏉ョ‘瀹氭湭瀹氬紡鍊艰 (1)褰搙鈫抋鏃讹紝鍑芥暟f(x)鍙奆(x)閮借秼浜庨浂锛(2)鍦ㄧ偣a鐨勫幓蹇冮偦鍩熷唴锛宖'(x)鍙奆'(x)閮藉瓨鍦ㄤ笖F'(x)鈮0锛(3)褰搙鈫抋鏃秎im f'(x)/F'(x)瀛樺湪(鎴栦负鏃犵┓澶)锛岄偅涔坸鈫抋鏃 lim f(x)/F...
绛旓細1.鏃犵┓灏忛噺鐨勬蹇---鑻ユ煇鏋侀檺杩囩▼涓嬶紝鍑芥暟鏋侀檺鎴栬呮暟鍒楁瀬闄愪负0锛屽垯绉拌鍑芥暟鎴栨暟鍒楁槸璇ユ瀬闄愯繃绋嬩笅鐨勬棤绌峰皬閲忋傚悓涓鏋侀檺杩囩▼涓嬫棤绌峰ぇ閲忕殑鍊掓暟鏄棤绌峰皬閲忥紝鍙嶄箣锛岃嫢鍦ㄨ鏋侀檺杩囩▼涔嬩笅锛屾棤绌峰皬閲忎笉鍙栭浂鍊硷紝鍒欒鏃犵┓灏忛噺鐨勫掓暟鏄棤绌峰ぇ閲忋傚弬鑰冭祫鏂欙細寰Н鍒嗗涔犺緟瀵 涓浗绉戞妧澶у鑰冪爺涓涗功 绉戝鍑虹増绀 2.瑙ｏ細...
绛旓細涓绾竴鐧斤細棣栧厛鎶界孩鐞冪殑姒傜巼鏄2/5,鏀惧洖鍘讳箣鍚庯紝杩樻槸5涓悆锛屾墍浠ヨ繕鏄笉鍙樼殑锛屾娊鐧界悆3/5,鍥犱负鍙互鍏堟娊绾㈢悆鎴栬呭厛鎶界櫧鐞冿紝鎵浠ユ湁涓ょ鍙兘锛屽氨涔樹互2 涓ゆ閮芥槸绾㈢悆锛氬拰涔嬪墠涓鏍风殑锛屽彧鏄病鏈夊厛鎶界孩鐞冨拰鐧界悆涓ょ鍙兘锛屾墍浠ヤ笉鐢ㄤ箻浠2锛屽氨鏄(2/5)鐨勫钩鏂 鏈川鐨勫尯鍒氨鏄垎姣嶏紝涔熷氨鏄绘暟鐨勫彉鍖栵紝鏀惧洖...
绛旓細AB棣栧厛閮芥槸鍑芥暟鑰屼笉鏄畾鍊硷紝鐒跺悗鍙涓涓槸0鍙︿竴涓氨鏄0 涓涓槸鏃犵┓鍙︿竴涓氨鏄棤绌 杩欏垎鍒彨鍋氬悓闃 鏃犵┓灏忓拰鍚岄樁鏃犵┓澶
绛旓細鍗曡皟鍖洪棿灏辨眰涓闃跺鏁帮紝涓闃跺鏁板皬浜0锛屽垯鍗曡皟閫掑噺锛屽弽涔嬶紝鍒欏崟璋冮掑锛屼护涓闃跺鏁扮瓑浜0锛岃В寰梮锛屾妸x甯﹀叆鍘熷嚱鏁帮紝寰楀埌鐨刦锛坸锛夊嵆涓烘瀬鍊硷紝鑻ヨ繕瑕佽冭檻鏄瀬澶у艰繕鏄瀬灏忓硷紝鍒欒鐪嬫瀬鍊间袱杈圭殑瀵兼暟鏄ぇ浜0杩樻槸灏忎簬0锛岃嫢宸﹁竟澶т簬0鍙宠竟灏忎簬0鍒欎负鏋佸ぇ鍊硷紝鍙嶄箣鍒欎负鏋佸皬鍊硷紝姹傛嫄鐐瑰拰鍑瑰嚫鍖洪棿锛屽垯蹇呴』瑕佹眰...
