增函数加减函数等于什么函数 增函数与减函数的各种运算后是哪种类型的函数，要对要全。
\u589e\u51fd\u6570\u52a0\u589e\u51fd\u6570\u8fd8\u662f\u589e\u51fd\u6570\u5417\uff1f \u589e\u51fd\u6570\u52a0\u51cf\u51fd\u6570\u5462\uff1f\u589e\u51fd\u6570\u52a0\u589e\u51fd\u6570\u5f97\u589e\u51fd\u6570\uff1b
\u589e\u51fd\u6570\u52a0\u51cf\u51fd\u6570\u4e0d\u80fd\u786e\u5b9a\u3002
\u5982f(x)=2x\uff0cg\uff08x)=-x,w(x)=-3x\u5219f(x)+g\uff08x)\u8fd8\u662f\u589e\u51fd\u6570\u800cf(x)+w\uff08x)\u5219\u662f\u51cf\u51fd\u6570\u589e\u51fd\u6570\u51cf\u589e\u51fd\u6570\u4e0d\u80fd\u786e\u5b9a
\u6269\u5c55\u8d44\u6599\uff1a\u51cf\u51fd\u6570\u52a0\u51cf\u51fd\u6570\u5f97\u51cf\u51fd\u6570
\u51cf\u51fd\u6570\u51cf\u51cf\u51fd\u6570\u4e0d\u80fd\u786e\u5b9a\u5176\u589e\u51cf\u6027
\u589e\u51fd\u6570\u51cf\u51cf\u51fd\u6570\u5f97\u589e\u51fd\u6570
\u51cf\u51fd\u6570\u51cf\u589e\u51fd\u6570\u5f97\u51cf\u51fd\u6570
\u5224\u65ad\u589e\u3001\u51cf\u51fd\u6570\u5e38\u7528\u7684\u51e0\u79cd\u65b9\u6cd5
\u7f16\u8f91
\u5224\u65ad\u51fd\u6570\u5355\u8c03\u6027\u7684\u57fa\u672c\u65b9\u6cd5\u6709\uff1a
\u2460\u5b9a\u4e49\u6cd5
\u2461\u56fe\u50cf\u6cd5
\u2462\u590d\u5408\u51fd\u6570\u6cd5
\u2463\u5bfc\u6570\u6cd5\u7b49\u7b49\u3002
\u800c\u5b9a\u4e49\u6cd5\u548c\u5bfc\u6570\u6cd5\u662f\u505a\u9898\u4e2d\u6700\u5e38\u7528\u7684\u4e24\u79cd\u65b9\u6cd5\u3002
\u5b9a\u4e49\u6cd5
\u6839\u636e\u5b9a\u4e49\uff0c\u6211\u4eec\u53ef\u4ee5\u5f52\u7eb3\u51fa\u7528\u5b9a\u4e49\u6cd5\u8bc1\u660e\u51fd\u6570\u5355\u8c03\u6027\u7684\u601d\u8def\u4e3a\uff1a
1\uff09\u53d6\u503c\uff1a\u8bbe
\u4e3a\u8be5\u76f8\u5e94\u533a\u95f4\u7684\u4efb\u610f\u4e24\u4e2a\u503c\uff0c\u5e76\u89c4\u5b9a\u5b83\u4eec\u7684\u5927\u5c0f\uff0c\u5982
\uff1b
2\uff09\u4f5c\u5dee\uff1a\u8ba1\u7b97
\uff0c\u5e76\u901a\u8fc7\u56e0\u5f0f\u5206\u89e3\u3001\u914d\u65b9\u3001\u6709\u7406\u5316\u7b49\u65b9\u6cd5\u4f5c\u6709\u5229\u4e8e\u5224\u65ad\u5176\u7b26\u53f7\u7684\u53d8\u5f62\uff1b
3\uff09\u5b9a\u53f7\uff1a\u5224\u65ad
\u7684\u7b26\u53f7\uff0c\u82e5\u4e0d\u80fd\u786e\u5b9a\uff0c\u5219\u53ef\u5206\u533a\u95f4\u8ba8\u8bba\uff1b
4\uff09\u7ed3\u8bba\uff1a\u6839\u636e\u5dee\u7684\u7b26\u53f7\uff0c\u5f97\u51fa\u5355\u8c03\u6027\u7684\u7ed3\u8bba\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u589e\u51fd\u6570-\u767e\u5ea6\u767e\u79d1
1\u3001\u589e\u51fd\u6570+\u589e\u51fd\u6570=\u589e\u51fd\u6570
2\u3001\u51cf\u51fd\u6570+\u51cf\u51fd\u6570=\u51cf\u51fd\u6570
3\u3001\u589e\u51fd\u6570-\u51cf\u51fd\u6570=\u589e\u51fd\u6570
4\u3001\u51cf\u51fd\u6570-\u589e\u51fd\u6570=\u51cf\u51fd\u6570
5\u3001\u589e\u51fd\u6570-\u589e\u51fd\u6570=\u4e0d\u80fd\u786e\u5b9a
6\u3001\u51cf\u51fd\u6570-\u51cf\u51fd\u6570=\u4e0d\u80fd\u786e\u5b9a
\u8bbe\u51fd\u6570f(x)\u7684\u5b9a\u4e49\u57df\u4e3aD\uff0c\u5982\u679c\u5bf9\u4e8e\u5b9a\u4e49\u57dfD\u5185\u7684\u67d0\u4e2a\u533a\u95f4\u4e0a\u7684\u4efb\u610f\u4e24\u4e2a\u81ea\u53d8\u91cf\u7684\u503cx1, x2\uff0c\u5f53x1<x2\u65f6\u90fd\u6709f(x1)<f(x2)\uff0c\u90a3\u4e48\u5c31\u8bf4f(x)\u5728\u6b64\u533a\u95f4\u4e0a\u662f\u589e\u51fd\u6570\u3002\u6b64\u533a\u95f4\u5c31\u53eb\u505a\u51fd\u6570f(x)\u7684\u5355\u8c03\u589e\u533a\u95f4\u3002
\u51fd\u6570f(x)\u7684\u5b9a\u4e49\u57df\u4e3aI\uff0c\u5982\u679c\u5bf9\u4e8e\u5b9a\u4e49\u57dfI\u5185\u7684\u67d0\u4e2a\u533a\u95f4D\u4e0a\u7684\u4efb\u610f\u4e24\u4e2a\u81ea\u53d8\u91cf\u7684\u503cx1,x2 \uff0c\u5f53x1 f(x2)\uff0c\u90a3\u4e48\u5c31\u8bf4f(x)\u5728\u8fd9\u4e2a\u533a\u95f4\u4e0a\u662f\u51cf\u51fd\u6570\uff0c\u5e76\u79f0\u533a\u95f4D\u4e3a\u9012\u51cf\u533a\u95f4\u3002
\u6269\u5c55\u8d44\u6599\u589e\u51fd\u6570\u548c\u51cf\u51fd\u6570\u5355\u8c03\u6027\u5224\u65ad\u65b9\u6cd5\uff1a
1\u3001\u5b9a\u4e49\u6cd5\uff1a\u5373\u201c\u53d6\u503c\uff08\u5b9a\u4e49\u57df\u5185\uff09\u2192\u4f5c\u5dee\u2192\u53d8\u5f62\u2192\u5b9a\u53f7\u2192\u5224\u65ad\u201d\uff1b
2\u3001\u56fe\u50cf\u6cd5\uff1a\u5148\u4f5c\u51fa\u51fd\u6570\u56fe\u50cf\uff0c\u5229\u7528\u56fe\u50cf\u76f4\u89c2\u5224\u65ad\u51fd\u6570\u7684\u5355\u8c03\u6027\uff1b
3\u3001\u76f4\u63a5\u6cd5\uff1a\u5c31\u662f\u5bf9\u4e8e\u6211\u4eec\u6240\u719f\u6089\u7684\u51fd\u6570\uff0c\u5982\u4e00\u6b21\u51fd\u6570\u3001\u4e8c\u6b21\u51fd\u6570\u3001\u53cd\u6bd4\u4f8b\u51fd\u6570\u7b49\uff0c\u76f4\u63a5\u5199\u51fa\u5b83\u4eec\u7684\u5355\u8c03\u533a\u95f4\u3002
4\u3001\u6c42\u5bfc\u6cd5\uff1a\u5047\u5b9a\u51fd\u6570f\u5728\u533a\u95f4[a,b]\u4e0a\u8fde\u7eed\u4e14\u5728(a,b)\u4e0a\u53ef\u5fae\uff0c\u82e5\u6bcf\u4e2a\u70b9x\u2208(a,b)\u6709f'(x)>0\uff0c\u5219f\u5728[a,b]\u4e0a\u662f\u9012\u589e\u7684\uff1b\u82e5\u6bcf\u4e2a\u70b9x\u2208(a,b)\u6709f'(x)<0\uff0c\u5219f\u5728[a,b]\u4e0a\u662f\u9012\u51cf\u7684\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u589e\u51fd\u6570
\u767e\u5ea6\u767e\u79d1\u2014\u51cf\u51fd\u6570
增函数减减函数等增函数
增函数乘减函数等于减函数
增函数除减函数等于增函数
奇函数加减偶函数 不确定
奇函数乘除偶函数 奇函数（过原点）
偶函数加常数不变,奇函数只有加0才不变
绛旓細澧炲嚱鏁+澧炲嚱鏁=澧炲嚱鏁帮紝澧炲嚱鏁-鍑忓嚱鏁=澧炲嚱鏁帮紝鍑忓嚱鏁+鍑忓嚱鏁=鍑忓嚱鏁帮紝鍑忓嚱鏁-澧炲嚱鏁=鍑忓嚱鏁銆傝屽鍑芥暟+鍑忓嚱鏁扮殑澧炲噺鎬т笉涓瀹氱殑銆備竴鑸湴锛岃鍑芥暟f锛坸锛夌殑瀹氫箟鍩熶负D锛屽鏋滃浜庡畾涔夊煙D鍐呯殑鏌愪釜鍖洪棿涓婄殑銆備换鎰忎袱涓嚜鍙橀噺鐨勫紉1锛寈2锛屽綋x1<x2鏃讹紝閮芥湁f锛坸1锛<f锛坸2锛夛紝閭ｄ箞灏辫f锛坸锛夊湪杩...
绛旓細鍑忓嚱鏁+鍑忓嚱鏁=鍑忓嚱鏁 澧炲嚱鏁-鍑忓嚱鏁=澧炲嚱鏁 鍑忓嚱鏁-澧炲嚱鏁=鍑忓嚱鏁 澧炲嚱鏁-澧炲嚱鏁=涓嶈兘纭畾 鍑忓嚱鏁-鍑忓嚱鏁=涓嶈兘纭畾
绛旓細1銆佸鍑芥暟+澧炲嚱鏁=澧炲嚱鏁 2銆佸噺鍑芥暟+鍑忓嚱鏁=鍑忓嚱鏁 3銆佸鍑芥暟-鍑忓嚱鏁=澧炲嚱鏁 4銆佸噺鍑芥暟-澧炲嚱鏁=鍑忓嚱鏁 5銆佸鍑芥暟-澧炲嚱鏁=涓嶈兘纭畾 6銆佸噺鍑芥暟-鍑忓嚱鏁=涓嶈兘纭畾 璁惧嚱鏁癴(x)鐨勫畾涔夊煙涓篋锛屽鏋滃浜庡畾涔夊煙D鍐呯殑鏌愪釜鍖洪棿涓婄殑浠绘剰涓や釜鑷彉閲忕殑鍊紉1, x2锛屽綋x1<x2鏃堕兘鏈塮(x1)<f(x2)锛岄偅...
绛旓細澧炲嚱鏁板拰鍑忓嚱鏁扮殑鍔犲噺杩愮畻鏈変互涓嬭寰嬶細澧炲嚱鏁+澧炲嚱鏁=澧炲嚱鏁锛屽鍑芥暟-鍑忓嚱鏁=澧炲嚱鏁帮紝鍑忓嚱鏁+鍑忓嚱鏁=鍑忓嚱鏁帮紝鍑忓嚱鏁-澧炲嚱鏁=鍑忓嚱鏁般傚鍑芥暟+鍑忓嚱鏁版垨鑰呭噺鍑芥暟+澧炲嚱鏁扮殑缁撴灉涓嶄竴瀹氾紝鍙兘鏄鍑芥暟銆佸噺鍑芥暟鎴栬呮棦涓嶆槸澧炰篃涓嶆槸鍑忕殑鍑芥暟锛岄渶瑕佸叿浣撳垎鏋愩
绛旓細澧炲嚱鏁板姞鍑忓嚱鏁 涓嶇‘瀹 澧炲嚱鏁板噺鍑忓嚱鏁扮瓑澧炲嚱鏁 澧炲嚱鏁颁箻鍑忓嚱鏁扮瓑浜庡噺鍑芥暟 澧炲嚱鏁伴櫎鍑忓嚱鏁扮瓑浜庡鍑芥暟 濂囧嚱鏁板姞鍑忓伓鍑芥暟 涓嶇‘瀹 濂囧嚱鏁颁箻闄ゅ伓鍑芥暟 濂囧嚱鏁帮紙杩囧師鐐癸級鍋跺嚱鏁板姞甯告暟涓嶅彉,濂囧嚱鏁板彧鏈夊姞0鎵嶄笉鍙
绛旓細澧炲嚱鏁板姞澧炲嚱鏁板緱澧炲嚱鏁;澧炲嚱鏁板姞鍑忓嚱鏁板緱鍑忓嚱鏁;鍏朵粬鍑芥暟鍔犲噺缁撴灉锛鈶犲噺鍑芥暟+鍑忓嚱鏁=鍑忓嚱鏁 鈶″鍑芥暟-鍑忓嚱鏁=澧炲嚱鏁 鈶㈠噺鍑芥暟-澧炲嚱鏁=鍑忓嚱鏁 鈶ｅ鍑芥暟-澧炲嚱鏁=涓嶈兘纭畾 鈶ゅ噺鍑芥暟-鍑忓嚱鏁=涓嶈兘纭畾
绛旓細澶嶅悎鍑芥暟锛屽澧炲緱澧炲嚱鏁帮紝澧炲噺寰楀噺鍑芥暟锛屽噺鍑忓緱澧炲嚱鏁般傚鍑芥暟涓庡噺鍑芥暟锛屼竴鑸湴锛岃鍑芥暟f锛坸锛夌殑瀹氫箟鍩熶负I锛屽鏋滃浜庡睘浜巐鍐呮煇涓尯闂翠笂鐨勪换鎰忎袱涓嚜鍙橀噺鐨勫紉1鍜寈2锛屽綋x1锛渪2鏃堕兘鏈塮锛坸1锛夛紲f锛坸2锛夛紝閭ｄ箞灏辫f锛坸锛夊湪杩欎釜鍖洪棿涓婃槸澧炲嚱鏁般傚鏋滃浜庡睘浜嶪鍐呮煇涓尯闂翠笂鐨勪换鎰忎袱涓嚜鍙橀噺鐨勫...
绛旓細鍙兘纭畾鐨鏄 澧炲嚱鏁板拰鍑忓嚱鏁浜岃呯浉鍑 寰楀埌鐨勫氨鏄鍑芥暟 鍚岀悊鍑忓嚱鏁板噺鍘诲鍑芥暟寰楀埌鍑忓皯 瀵逛簬鐩镐箻鐩搁櫎鐨勮瘽 閮藉彲鑳戒細瀛樺湪姝ｈ礋鍙风殑鍙樺寲闂 涓嶈兘瀹屽叏纭畾
绛旓細澧炲嚱鏁涔樹互鍑忓嚱鏁版槸鍑忓嚱鏁般傚涔樺涓哄锛屽噺涔樺噺涓哄锛屽噺涔樺涓哄噺锛屽噺鍔犲噺涓哄噺锛澧炲姞澧涓哄锛屽鍔犲噺涓嶄竴瀹氾紝濂囧姞濂囦负濂囷紝鍋跺姞鍋朵负鍋讹紝濂囧姞鍋朵笉涓瀹氾紝濂囧鍚堝涓哄伓锛屽伓澶嶅悎鍋朵负鍋讹紝濂囧鍚堝伓涓哄.澧炲噺鏃犲鍚堟柟闈㈢殑鎬ц川锛屽鍋舵棤涔橀櫎鐨勬ц川銆傚崟璋冩х殑鍒ゆ柇鏂规硶 澧炲嚱鏁板氨鏄殢x澧炲ぇy澧炲ぇ锛屽y=x锛屽噺...
绛旓細澧+澧=澧烇紱澧-鍑=澧烇紱鍑+鍑=鍑忥紝鍑-澧=鍑 鐢ㄥ鍑鍑芥暟鐨勫畾涔夎瘉鏄庯紙鍐欎笉涓嬪晩锛夌被浼兼璐熸暟鍔犲噺娉曪細姝+姝=姝ｏ紱姝-璐=姝ｏ紱璐+璐=璐燂紱璐-姝=璐.
