.å½æ°çåè°æ§å°±æ¯éçxçå大ï¼yå¨å大就æ¯å¢å½æ°ï¼yåå°å°±æ¯åå½æ°ï¼å
·æè¿æ ·çæ§è´¨å°±è¯´å½æ°å
·æåè°æ§ï¼ç¬¦å·è¡¨ç¤ºï¼å°±æ¯å®ä¹åå
çä»»æåx1ï¼x2ï¼ä¸x1ï¼x2ï¼æ¯è¾fï¼x1ï¼ï¼fï¼x2ï¼ç大å°,å¾åä¸çä»å·¦å¾å³çå¾åå¨ä¸ç´ä¸åæä¸éçå°±æ¯åè°å½æ° ï¼æf(x1)<fï¼x2ï¼åæ¯å¢å½æ°ï¼ï¼2. ï¼1ï¼å¦æ对äºå½æ°å®ä¹åå
çä»»æä¸ä¸ªxï¼é½æf(-x)=-f(x)é£ä¹å½æ°f(x)å°±å«åå¥å½æ°ã
ããï¼2ï¼å¦æ对äºå½æ°å®ä¹åå
çä»»æä¸ä¸ªxï¼é½æf(-x)=f(x)ï¼é£ä¹å½æ°f(x)å°±å«åå¶å½æ°ã
ããï¼3ï¼å¦æ对äºå½æ°å®ä¹åå
çä»»æä¸ä¸ªxï¼é½æf(-x)=-f(x)åf(-x)=f(x)ï¼(xâD,ä¸Då
³äºåç¹å¯¹ç§°.)é£ä¹å½æ°f(x)æ¢æ¯å¥å½æ°åæ¯å¶å½æ°ï¼ç§°ä¸ºæ¢å¥åå¶å½æ°ã
ããï¼4ï¼å¦æ对äºå½æ°å®ä¹åå
çä»»æä¸ä¸ªxï¼f(-x)=-f(x)ä¸f(-x)=f(x)é½ä¸è½æç«ï¼é£ä¹å½æ°f(x)æ¢ä¸æ¯å¥å½æ°åä¸æ¯å¶å½æ°ï¼ç§°ä¸ºéå¥éå¶å½æ°ã
ãã说æï¼â å¥ãå¶æ§æ¯å½æ°çæ´ä½æ§è´¨ï¼å¯¹æ´ä¸ªå®ä¹åèè¨ã
ããâ¡å¥ãå¶å½æ°çå®ä¹åä¸å®å
³äºåç¹å¯¹ç§°ï¼å¦æä¸ä¸ªå½æ°çå®ä¹åä¸å
³äºåç¹å¯¹ç§°ï¼åè¿ä¸ªå½æ°ä¸å®ä¸å
·æå¥å¶æ§ã
ããï¼åæï¼å¤æå½æ°çå¥å¶æ§ï¼é¦å
æ¯æ£éªå
¶å®ä¹åæ¯å¦å
³äºåç¹å¯¹ç§°ï¼ç¶ååä¸¥æ ¼æç
§å¥ãå¶æ§çå®ä¹ç»è¿åç®ãæ´çãåä¸f(x)æ¯è¾å¾åºç»è®ºï¼
ããâ¢å¤ææè¯æå½æ°æ¯å¦å
·æå¥å¶æ§çæ ¹æ®æ¯å®ä¹ã
ããâ£å¦æä¸ä¸ªå¥å½æ°f(x)å¨x=0å¤ææä¹ï¼åè¿ä¸ªå½æ°å¨x=0å¤çå½æ°å¼ä¸å®ä¸º0ã
ãã2ï¼å¥å¶å½æ°å¾åçç¹å¾ï¼
ããå®ç å¥å½æ°çå¾åå
³äºåç¹æä¸å¿å¯¹ç§°å¾å½¢ï¼å¶å½æ°çå¾åå
³äºyè½´ç轴对称å¾å½¢ã
ããf(x)为å¥å½æ°ï¼ï¼ï¼f(x)çå¾åå
³äºåç¹å¯¹ç§°
ããç¹ï¼x,yï¼âï¼-x,-yï¼
ããf(x)为å¶å½æ°ï¼ï¼ï¼f(x)çå¾åå
³äºY轴对称
ããç¹ï¼x,yï¼âï¼-x,yï¼
ããå¥å½æ°å¨æä¸åºé´ä¸åè°éå¢ï¼åå¨å®ç对称åºé´ä¸ä¹æ¯åè°éå¢ã
ããå¶å½æ°å¨æä¸åºé´ä¸åè°éå¢ï¼åå¨å®ç对称åºé´ä¸åè°éåã
ãã3.è¯ææ¹æ³
ããï¼1ï¼å®ä¹æ³ï¼å½æ°å®ä¹åæ¯å¦å
³äºåç¹å¯¹ç§°
ããï¼2ï¼å¾åæ³ï¼ãf(x)为å¥å½æ°ï¼ï¼ï¼f(x)çå¾åå
³äºåç¹å¯¹ç§°
ããç¹ï¼x,yï¼âï¼-x,-yï¼
ããf(x)为å¶å½æ°ï¼ï¼ï¼f(x)çå¾åå
³äºY轴对称
ããç¹ï¼x,yï¼âï¼-x,yï¼
3.è¥å®ä¹åå°±æ¯è®©å½æ°ææä¹
åæå¼çæ¹æ³å¾å¤ï¼æ1ï¼é
æ¹æ³ 2ï¼æ¢å
æ³ 3ï¼åºæ¬ä¸çå¼ï¼4ï¼åè°æ§æ³ï¼5ï¼å¯¼æ°æ³ 6ï¼æ°å½¢ç»å 7ï¼åéæ³ 8ï¼å¤å«å¼æ³ 9ï¼æé æ³ï¼10ï¼ä¸è§å½æ°çæçæ§
温馨提示:答案为网友推荐,仅供参考