高一数学必修一函数:定区间动图象,定图象定区间,定区间定图象,给图像求最值的题型 高中数学必修一有关函数图像题目

\u9ad8\u4e00\u6570\u5b66\u5fc5\u4fee1\u5404\u7c7b\u51fd\u6570\u56fe\u50cf\u5f52\u7c7b

1.\u5bf9\u6570\u51fd\u6570
\u3000\u3000
\u3000\u3000\u4e00\u822c\u5730\uff0c\u5982\u679ca\uff08a\u5927\u4e8e0\uff0c\u4e14a\u4e0d\u7b49\u4e8e1\uff09\u7684b\u6b21\u5e42\u7b49\u4e8eN\uff0c\u90a3\u4e48\u6570b\u53eb\u505a\u4ee5a\u4e3a\u5e95N\u7684\u5bf9\u6570\uff0c\u8bb0\u4f5clog aN=b,\u5176\u4e2da\u53eb\u505a\u5bf9\u6570\u7684\u5e95\u6570\uff0cN\u53eb\u505a\u771f\u6570\u3002
\u3000\u3000\u771f\u6570\u5f0f\u5b50\u6ca1\u6839\u53f7\u90a3\u5c31\u53ea\u8981\u6c42\u771f\u6570\u5f0f\u5927\u4e8e\u96f6,\u5982\u679c\u6709\u6839\u53f7,\u8981\u6c42\u771f\u6570\u5927\u4e8e\u96f6\u8fd8\u8981\u4fdd\u8bc1\u6839\u53f7\u91cc\u7684\u5f0f\u5b50\u5927\u4e8e\u96f6\uff0c
\u3000\u3000\u5e95\u6570\u5219\u8981\u5927\u4e8e0\u4e14\u4e0d\u4e3a1
\u3000\u3000\u5bf9\u6570\u51fd\u6570\u7684\u5e95\u6570\u4e3a\u4ec0\u4e48\u8981\u5927\u4e8e0\u4e14\u4e0d\u4e3a1
\u3000\u3000\u5728\u4e00\u4e2a\u666e\u901a\u5bf9\u6570\u5f0f\u91cc a<0,\u6216=1 \u7684\u65f6\u5019\u662f\u4f1a\u6709\u76f8\u5e94b\u7684\u503c\u7684\u3002\u4f46\u662f\uff0c\u6839\u636e\u5bf9\u6570\u5b9a\u4e49: logaa=1\uff1b\u5982\u679ca=1\u6216=0\u90a3\u4e48logaa\u5c31\u53ef\u4ee5\u7b49\u4e8e\u4e00\u5207\u5b9e\u6570\uff08\u6bd4\u5982log1 1\u4e5f\u53ef\u4ee5\u7b49\u4e8e2\uff0c3\uff0c4\uff0c5\uff0c\u7b49\u7b49\uff09\u7b2c\u4e8c\uff0c\u6839\u636e\u5b9a\u4e49\u8fd0\u7b97\u516c\u5f0f\uff1aloga M^n = nloga M \u5982\u679ca<0,\u90a3\u4e48\u8fd9\u4e2a\u7b49\u5f0f\u4e24\u8fb9\u5c31\u4e0d\u4f1a\u6210\u7acb \uff08\u6bd4\u5982\uff0clog(-2) 4^(-2) \u5c31\u4e0d\u7b49\u4e8e(-2)*log(-2) 4\uff1b\u4e00\u4e2a\u7b49\u4e8e4\uff0c\u53e6\u4e00\u4e2a\u7b49\u4e8e-4\uff09
\u3000\u3000\u5bf9\u6570\u51fd\u6570\u7684\u4e00\u822c\u5f62\u5f0f\u4e3a \uff0c\u5b83\u5b9e\u9645\u4e0a\u5c31\u662f\u6307\u6570\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff0c\u53ef\u8868\u793a\u4e3ax=a^y\u3002\u56e0\u6b64\u6307\u6570\u51fd\u6570\u91cc\u5bf9\u4e8ea\u7684\u89c4\u5b9a\uff0c\u540c\u6837\u9002\u7528\u4e8e\u5bf9\u6570\u51fd\u6570\u3002
\u3000\u3000\u53f3\u56fe\u7ed9\u51fa\u5bf9\u4e8e\u4e0d\u540c\u5927\u5c0fa\u6240\u8868\u793a\u7684\u51fd\u6570\u56fe\u5f62\uff1a
\u3000\u3000\u53ef\u4ee5\u770b\u5230\u5bf9\u6570\u51fd\u6570\u7684\u56fe\u5f62\u53ea\u4e0d\u8fc7\u7684\u6307\u6570\u51fd\u6570\u7684\u56fe\u5f62\u7684\u5173\u4e8e\u76f4\u7ebfy=x\u7684\u5bf9\u79f0\u56fe\u5f62\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e92\u4e3a\u53cd\u51fd\u6570\u3002
\u3000\u3000\uff081\uff09 \u5bf9\u6570\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a\u5927\u4e8e0\u7684\u5b9e\u6570\u96c6\u5408\u3002
\u3000\u3000\uff082\uff09 \u5bf9\u6570\u51fd\u6570\u7684\u503c\u57df\u4e3a\u5168\u90e8\u5b9e\u6570\u96c6\u5408\u3002
\u3000\u3000\uff083\uff09 \u51fd\u6570\u603b\u662f\u901a\u8fc7\uff081\uff0c0\uff09\u8fd9\u70b9\u3002
\u3000\u3000\uff084\uff09 a\u5927\u4e8e1\u65f6\uff0c\u4e3a\u5355\u8c03\u9012\u589e\u51fd\u6570\uff0c\u5e76\u4e14\u4e0a\u51f8\uff1ba\u5c0f\u4e8e1\u5927\u4e8e0\u65f6\uff0c\u51fd\u6570\u4e3a\u5355\u8c03\u9012\u51cf\u51fd\u6570\uff0c\u5e76\u4e14\u4e0b\u51f9\u3002
\u3000\u3000\uff085\uff09 \u663e\u7136\u5bf9\u6570\u51fd\u6570\u65e0\u754c\u3002
\u3000\u3000\u5bf9\u6570\u51fd\u6570\u7684\u8fd0\u7b97\u6027\u8d28\uff1a
\u3000\u3000\u5982\u679ca\u30090\uff0c\u4e14a\u4e0d\u7b49\u4e8e1,M>0,N>0\uff0c\u90a3\u4e48\uff1a
\u3000\u3000\uff081\uff09log(a)(MN)=log(a)(M)+log(a)(N);
\u3000\u3000\uff082\uff09log(a)(M/N)=log(a)(M)-log(a)(N);
\u3000\u3000\uff083\uff09log(a)(M^n)=nlog(a)(M) \uff08n\u5c5e\u4e8eR\uff09
2.\u6307\u6570\u51fd\u6570
\u6307\u6570\u51fd\u6570\u7684\u4e00\u822c\u5f62\u5f0f\u4e3ay=a^x(a>0\u4e14\u4e0d=1) \uff0c\u4ece\u4e0a\u9762\u6211\u4eec\u5bf9\u4e8e\u5e42\u51fd\u6570\u7684\u8ba8\u8bba\u5c31\u53ef\u4ee5\u77e5\u9053\uff0c\u8981\u60f3\u4f7f\u5f97x\u80fd\u591f\u53d6\u6574\u4e2a\u5b9e\u6570\u96c6\u5408\u4e3a\u5b9a\u4e49\u57df\uff0c\u5219\u53ea\u6709\u4f7f\u5f97
\u3000\u3000\u5982\u56fe\u6240\u793a\u4e3aa\u7684\u4e0d\u540c\u5927\u5c0f\u5f71\u54cd\u51fd\u6570\u56fe\u5f62\u7684\u60c5\u51b5\u3002
\u3000\u3000\u5728\u51fd\u6570y=a^x\u4e2d\u53ef\u4ee5\u770b\u5230\uff1a
\u3000\u3000\uff081\uff09 \u6307\u6570\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a\u6240\u6709\u5b9e\u6570\u7684\u96c6\u5408\uff0c\u8fd9\u91cc\u7684\u524d\u63d0\u662fa\u5927\u4e8e0\u4e14\u4e0d\u7b49\u4e8e1\uff0c\u5bf9\u4e8ea\u4e0d\u5927\u4e8e0\u7684\u60c5\u51b5\uff0c\u5219\u5fc5\u7136\u4f7f\u5f97\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e0d\u5b58\u5728\u8fde\u7eed\u7684\u533a\u95f4\uff0c\u56e0\u6b64\u6211\u4eec\u4e0d\u4e88\u8003\u8651\uff0c
\u3000\u3000\u540c\u65f6a\u7b49\u4e8e\uff10\u4e00\u822c\u4e5f\u4e0d\u8003\u8651\u3002
\u3000\u3000\uff082\uff09 \u6307\u6570\u51fd\u6570\u7684\u503c\u57df\u4e3a\u5927\u4e8e0\u7684\u5b9e\u6570\u96c6\u5408\u3002
\u3000\u3000\uff083\uff09 \u51fd\u6570\u56fe\u5f62\u90fd\u662f\u4e0b\u51f9\u7684\u3002
\u3000\u3000\uff084\uff09 a\u5927\u4e8e1\uff0c\u5219\u6307\u6570\u51fd\u6570\u5355\u8c03\u9012\u589e\uff1ba\u5c0f\u4e8e1\u5927\u4e8e0\uff0c\u5219\u4e3a\u5355\u8c03\u9012\u51cf\u7684\u3002
\u3000\u3000\uff085\uff09 \u53ef\u4ee5\u770b\u5230\u4e00\u4e2a\u663e\u7136\u7684\u89c4\u5f8b\uff0c\u5c31\u662f\u5f53a\u4ece0\u8d8b\u5411\u4e8e\u65e0\u7a77\u5927\u7684\u8fc7\u7a0b\u4e2d\uff08\u5f53\u7136\u4e0d\u80fd\u7b49\u4e8e0\uff09\uff0c\u51fd\u6570\u7684\u66f2\u7ebf\u4ece\u5206\u522b\u63a5\u8fd1\u4e8eY\u8f74\u4e0eX\u8f74\u7684\u6b63\u534a\u8f74\u7684\u5355\u8c03\u9012\u51cf\u51fd\u6570\u7684\u4f4d\u7f6e\uff0c\u8d8b\u5411\u5206\u522b\u63a5\u8fd1\u4e8eY\u8f74\u7684\u6b63\u534a\u8f74\u4e0eX\u8f74\u7684\u8d1f\u534a\u8f74\u7684\u5355\u8c03\u9012\u589e\u51fd\u6570\u7684\u4f4d\u7f6e\u3002\u5176\u4e2d\u6c34\u5e73\u76f4\u7ebfy=1\u662f\u4ece\u9012\u51cf\u5230\u9012\u589e\u7684\u4e00\u4e2a\u8fc7\u6e21\u4f4d\u7f6e\u3002
\u3000\u3000\uff086\uff09 \u51fd\u6570\u603b\u662f\u5728\u67d0\u4e00\u4e2a\u65b9\u5411\u4e0a\u65e0\u9650\u8d8b\u5411\u4e8eX\u8f74,\u6c38\u4e0d\u76f8\u4ea4\u3002
\u3000\u3000\uff087\uff09 \u51fd\u6570\u603b\u662f\u901a\u8fc7\uff080\uff0c1\uff09\u8fd9\u70b9
\u3000\u3000\uff088\uff09 \u663e\u7136\u6307\u6570\u51fd\u6570\u65e0\u754c\u3002
\u3000\u3000\uff089\uff09 \u6307\u6570\u51fd\u6570\u65e2\u4e0d\u662f\u5947\u51fd\u6570\u4e5f\u4e0d\u662f\u5076\u51fd\u6570\u3002
\u3000\u3000\uff0810\uff09\u5f53\u4e24\u4e2a\u6307\u6570\u51fd\u6570\u4e2d\u7684a\u4e92\u4e3a\u5012\u6570\u662f\uff0c\u6b64\u51fd\u6570\u56fe\u50cf\u662f\u5076\u51fd\u6570\u3002
\u3000\u3000\u4f8b1\uff1a\u4e0b\u5217\u51fd\u6570\u5728R\u4e0a\u662f\u589e\u51fd\u6570\u8fd8\u662f\u51cf\u51fd\u6570\uff1f\u8bf4\u660e\u7406\u7531.
\u3000\u3000\u2474y=4^x
\u3000\u3000\u56e0\u4e3a4>1\uff0c\u6240\u4ee5y=4^x\u5728R\u4e0a\u662f\u589e\u51fd\u6570\uff1b
\u3000\u3000\u2475y=(1/4)^x
\u3000\u3000\u56e0\u4e3a0<1/4<1,\u6240\u4ee5y=(1/4)^x\u5728R\u4e0a\u662f\u51cf\u51fd\u6570
3.\u5e42\u51fd\u6570
\u5e42\u51fd\u6570\u7684\u4e00\u822c\u5f62\u5f0f\u4e3ay=x^a\u3002
\u3000\u3000\u5982\u679ca\u53d6\u975e\u96f6\u7684\u6709\u7406\u6570\u662f\u6bd4\u8f83\u5bb9\u6613\u7406\u89e3\u7684\uff0c\u4e0d\u8fc7\u521d\u5b66\u8005\u5bf9\u4e8ea\u53d6\u65e0\u7406\u6570\uff0c\u5219\u4e0d\u592a\u5bb9\u6613\u7406\u89e3\uff0c\u5728\u6211\u4eec\u7684\u8bfe\u7a0b\u91cc\uff0c\u4e0d\u8981\u6c42\u638c\u63e1\u5982\u4f55\u7406\u89e3\u6307\u6570\u4e3a\u65e0\u7406\u6570\u7684\u95ee\u9898\uff0c\u56e0\u4e3a\u8fd9\u6d89\u53ca\u5230\u5b9e\u6570\u8fde\u7eed\u7edf\u7684\u6781\u4e3a\u6df1\u523b\u7684\u77e5\u8bc6\u3002\u56e0\u6b64\u6211\u4eec\u53ea\u8981\u63a5\u53d7\u5b83\u4f5c\u4e3a\u4e00\u4e2a\u5df2\u77e5\u4e8b\u5b9e\u5373\u53ef\u3002
\u3000\u3000\u5bf9\u4e8ea\u7684\u53d6\u503c\u4e3a\u975e\u96f6\u6709\u7406\u6570\uff0c\u6709\u5fc5\u8981\u5206\u6210\u51e0\u79cd\u60c5\u51b5\u6765\u8ba8\u8bba\u5404\u81ea\u7684\u7279\u6027\uff1a
\u3000\u3000\u9996\u5148\u6211\u4eec\u77e5\u9053\u5982\u679ca=p/q\uff0c\u4e14p/q\u4e3a\u65e2\u7ea6\u5206\u6570\uff08\u5373p\u3001q\u4e92\u8d28\uff09\uff0cq\u548cp\u90fd\u662f\u6574\u6570\uff0c\u5219x^(p/q)=q\u6b21\u6839\u53f7\uff08x\u7684p\u6b21\u65b9\uff09\uff0c\u5982\u679cq\u662f\u5947\u6570\uff0c\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u662fR\uff0c\u5982\u679cq\u662f\u5076\u6570\uff0c\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u662f[0,\uff0b\u221e\uff09\u3002\u5f53\u6307\u6570n\u662f\u8d1f\u6574\u6570\u65f6\uff0c\u8bbea=-k\uff0c\u5219x=1/(x^k)\uff0c\u663e\u7136x\u22600\uff0c\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u662f\uff08\uff0d\u221e\uff0c0)\u222a(0,\uff0b\u221e).\u56e0\u6b64\u53ef\u4ee5\u770b\u5230x\u6240\u53d7\u5230\u7684\u9650\u5236\u6765\u6e90\u4e8e\u4e24\u70b9\uff0c\u4e00\u662f\u6709\u53ef\u80fd\u4f5c\u4e3a\u5206\u6bcd\u800c\u4e0d\u80fd\u662f0\uff0c\u4e00\u662f\u6709\u53ef\u80fd\u5728\u5076\u6570\u6b21\u7684\u6839\u53f7\u4e0b\u800c\u4e0d\u80fd\u4e3a\u8d1f\u6570\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u53ef\u4ee5\u77e5\u9053\uff1a
\u3000\u3000\u6392\u9664\u4e86\u4e3a0\u4e0e\u8d1f\u6570\u4e24\u79cd\u53ef\u80fd\uff0c\u5373\u5bf9\u4e8ex>0\uff0c\u5219a\u53ef\u4ee5\u662f\u4efb\u610f\u5b9e\u6570\uff1b
\u3000\u3000\u6392\u9664\u4e86\u4e3a0\u8fd9\u79cd\u53ef\u80fd\uff0c\u5373\u5bf9\u4e8ex0\u7684\u6240\u6709\u5b9e\u6570\uff0cq\u4e0d\u80fd\u662f\u5076\u6570\uff1b
\u3000\u3000\u6392\u9664\u4e86\u4e3a\u8d1f\u6570\u8fd9\u79cd\u53ef\u80fd\uff0c\u5373\u5bf9\u4e8ex\u4e3a\u5927\u4e8e\u6216\u7b49\u4e8e0\u7684\u6240\u6709\u5b9e\u6570\uff0ca\u5c31\u4e0d\u80fd\u662f\u8d1f\u6570\u3002
\u3000\u3000\u603b\u7ed3\u8d77\u6765\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230\u5f53a\u4e3a\u4e0d\u540c\u7684\u6570\u503c\u65f6\uff0c\u5e42\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u7684\u4e0d\u540c\u60c5\u51b5\u5982\u4e0b\uff1a
\u3000\u3000\u5982\u679ca\u4e3a\u4efb\u610f\u5b9e\u6570\uff0c\u5219\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a\u5927\u4e8e0\u7684\u6240\u6709\u5b9e\u6570\uff1b
\u3000\u3000\u5982\u679ca\u4e3a\u8d1f\u6570\uff0c\u5219x\u80af\u5b9a\u4e0d\u80fd\u4e3a0\uff0c\u4e0d\u8fc7\u8fd9\u65f6\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u8fd8\u5fc5\u987b\u6839\u636eq\u7684\u5947\u5076\u6027\u6765\u786e\u5b9a\uff0c\u5373\u5982\u679c\u540c\u65f6q\u4e3a\u5076\u6570\uff0c\u5219x\u4e0d\u80fd\u5c0f\u4e8e0\uff0c\u8fd9\u65f6\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a\u5927\u4e8e0\u7684\u6240\u6709\u5b9e\u6570\uff1b\u5982\u679c\u540c\u65f6q\u4e3a\u5947\u6570\uff0c\u5219\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a\u4e0d\u7b49\u4e8e0 \u7684\u6240\u6709\u5b9e\u6570\u3002
\u3000\u3000\u5728x\u5927\u4e8e0\u65f6\uff0c\u51fd\u6570\u7684\u503c\u57df\u603b\u662f\u5927\u4e8e0\u7684\u5b9e\u6570\u3002
\u3000\u3000\u5728x\u5c0f\u4e8e0\u65f6\uff0c\u5219\u53ea\u6709\u540c\u65f6q\u4e3a\u5947\u6570\uff0c\u51fd\u6570\u7684\u503c\u57df\u4e3a\u975e\u96f6\u7684\u5b9e\u6570\u3002
\u3000\u3000\u800c\u53ea\u6709a\u4e3a\u6b63\u6570\uff0c0\u624d\u8fdb\u5165\u51fd\u6570\u7684\u503c\u57df\u3002
\u3000\u3000\u7531\u4e8ex\u5927\u4e8e0\u662f\u5bf9a\u7684\u4efb\u610f\u53d6\u503c\u90fd\u6709\u610f\u4e49\u7684\uff0c
\u3000\u3000\u5fc5\u987b\u6307\u51fa\u7684\u662f\uff0c\u5f53x<0\u65f6\uff0c\u5e42\u51fd\u6570\u5b58\u5728\u4e00\u4e2a\u76f8\u5f53\u68d8\u624b\u7684\u5185\u5728\u77db\u76fe\uff1a[x^(a/b)]^(c/d)\u3001[x^(c/d)]^(a/b)\u3001x^(ac/bd)\u8fd9\u4e09\u8005\u76f8\u7b49\u5417\uff1f\u82e5p/q\u662fac/bd\u7684\u65e2\u7ea6\u5206\u6570\uff0cx^(ac/bd)\u4e0ex^(p/q)\u4ee5\u53cax^(kp/kq)\uff08k\u4e3a\u6b63\u6574\u6570\uff09\u53c8\u80fd\u76f8\u7b49\u5417\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728x<0\u65f6\uff0c\u5e42\u51fd\u6570\u503c\u7684\u552f\u4e00\u6027\u4e0e\u5e42\u6307\u6570\u7684\u8fd0\u7b97\u6cd5\u5219\u53d1\u751f\u4e0d\u53ef\u8c03\u548c\u7684\u51b2\u7a81\u3002\u5bf9\u6b64\uff0c\u73b0\u5728\u6709\u4e24\u79cd\u89c2\u70b9\uff1a\u4e00\u79cd\u575a\u6301\u901a\u8fc7\u7ea6\u5b9a\u65e2\u7ea6\u5206\u6570\u6765\u5904\u7406\u8fd9\u4e00\u77db\u76fe\uff0c\u80fd\u5f88\u597d\u89e3\u51b3\u5e42\u51fd\u6570\u503c\u7684\u552f\u4e00\u6027\u95ee\u9898\uff0c\u4f46\u7c73\u6307\u6570\u7684\u8fd0\u7b97\u6cd5\u5219\u8f83\u96be\u7ef4\u7cfb\uff1b\u53e6\u4e00\u79cd\u89c2\u70b9\u5219\u8ba4\u4e3a\uff0c\u76f4\u63a5\u53d6\u6d88x<0\u8fd9\u79cd\u60c5\u51b5\uff0c\u5373\u89c4\u5b9a\u5e42\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4e3a[0\uff0c+\u221e\uff09\u6216\uff080\uff0c+\u221e\uff09\u3002\u770b\u6765\u8fd9\u4e00\u95ee\u9898\u6709\u5f85\u4e13\u5bb6\u5b66\u8005\u4eec\u8ba4\u771f\u8ba8\u8bba\u540e\u4e88\u4ee5\u89e3\u51b3\u3002
\u3000\u3000\u56e0\u6b64\u4e0b\u9762\u7ed9\u51fa\u5e42\u51fd\u6570\u5728\u7b2c\u4e00\u8c61\u9650\u7684\u5404\u81ea\u60c5\u51b5.
\u3000\u3000\u53ef\u4ee5\u770b\u5230\uff1a
\u3000\u3000\uff081\uff09\u6240\u6709\u7684\u56fe\u5f62\u90fd\u901a\u8fc7\uff081\uff0c1\uff09\u8fd9\u70b9\u3002
\u3000\u3000\uff082\uff09\u5f53a\u5927\u4e8e0\u65f6\uff0c\u5e42\u51fd\u6570\u4e3a\u5355\u8c03\u9012\u589e\u7684\uff0c\u800ca\u5c0f\u4e8e0\u65f6\uff0c\u5e42\u51fd\u6570\u4e3a\u5355\u8c03\u9012\u51cf\u51fd\u6570\u3002
\u3000\u3000\uff083\uff09\u5f53a\u5927\u4e8e1\u65f6\uff0c\u5e42\u51fd\u6570\u56fe\u5f62\u4e0b\u51f9\uff1b\u5f53a\u5c0f\u4e8e1\u5927\u4e8e0\u65f6\uff0c\u5e42\u51fd\u6570\u56fe\u5f62\u4e0a\u51f8\u3002
\u3000\u3000\uff084\uff09\u5f53a\u5c0f\u4e8e0\u65f6\uff0ca\u8d8a\u5c0f\uff0c\u56fe\u5f62\u503e\u659c\u7a0b\u5ea6\u8d8a\u5927\u3002
\u3000\u3000\uff085\uff09a\u5927\u4e8e0\uff0c\u51fd\u6570\u8fc7\uff080\uff0c0\uff09\uff1ba\u5c0f\u4e8e0\uff0c\u51fd\u6570\u4e0d\u8fc7\uff080\uff0c0\uff09\u70b9\u3002
\u3000\u3000\uff086\uff09\u663e\u7136\u5e42\u51fd\u6570\u65e0\u754c\u9650\u3002

1
2

\u7b2c1\u9898\u56fe
\u7b2c\u4e8c\u8bb2 \u51fd\u6570\u56fe\u8c61

\u3010\u8003\u9898\u56de\u653e\u3011
1\uff0e\u56fe\u4e2d\u7684\u56fe\u8c61\u6240\u8868\u793a\u7684\u51fd\u6570\u7684\u89e3\u6790\u5f0f\u4e3a\uff08\u3000\u3000\uff09
A\uff0e \u3000 \u3000 B\uff0e \u3000
C\uff0e D\uff0e
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t(h)
s(km)
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t(h)
s(km)
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t(h)
s(km)
1
2
3
60
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100
120
140
160
t(h)
s(km)
A\uff0e
B\uff0e
C\uff0e
D\uff0e
0
0
0
0
0
2\uff0e\u5ba2\u8f66\u4ece\u7532\u5730\u4ee560km/h\u7684\u901f\u5ea6\u5300\u901f\u884c\u9a761\u5c0f\u65f6\u5230\u8fbe\u4e59\u5730\uff0c\u5728\u4e59\u5730\u505c\u7559\u4e86\u534a\u5c0f\u65f6\uff0c\u7136\u540e\u4ee580km/h\u7684\u901f\u5ea6\u5300\u901f\u884c\u9a761\u5c0f\u65f6\u5230\u8fbe\u4e19\u5730\uff0e\u4e0b\u5217\u63cf\u8ff0\u5ba2\u8f66\u4ece\u7532\u5730\u51fa\u53d1\uff0c\u7ecf\u8fc7\u4e59\u5730\uff0c\u6700\u540e\u5230\u8fbe\u4e19\u5730\u6240\u7ecf\u8fc7\u7684\u8def\u7a0b \u4e0e\u65f6\u95f4 \u4e4b\u95f4\u5173\u7cfb\u7684\u56fe\u8c61\u4e2d\uff0c\u6b63\u786e\u7684\u662f\uff08\u3000C\u3000\uff09













3\uff0e\u51fd\u6570 \u7684\u56fe\u8c61\u548c\u51fd\u6570 \u7684\u56fe\u8c61\u7684\u4ea4\u70b9\u4e2a\u6570\u662f\uff08 B \uff09
A\uff0e4 B\uff0e3 C\uff0e2 D\uff0e1
4\uff0e\u82e5\u51fd\u6570 \u7684\u56fe\u8c61\u6309\u5411\u91cf \u5e73\u79fb\u540e\uff0c\u5f97\u5230\u51fd\u6570 \u7684\u56fe\u8c61\uff0c\u5219\u5411\u91cf \uff08 A \uff09
A\uff0e B\uff0e C\uff0e D\uff0e
5\uff0e\u82e5\u51fd\u6570 \u7684\u53cd\u51fd\u6570\u4e3a \uff0c\u5219\u51fd\u6570 \u4e0e \u7684\u56fe\u8c61\u53ef\u80fd\u662f\uff08 A \uff09



1
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\u3000\u3000\u3000A\uff0e\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000B\uff0e\u3000\u3000\u3000\u3000\u3000\u3000\u3000C\uff0e\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000D\uff0e



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\uff08\u5c0f\u65f6\uff09
6\uff0e\u4e3a\u4e86\u9884\u9632\u6d41\u611f\uff0c\u67d0\u5b66\u6821\u5bf9\u6559\u5ba4\u7528\u836f\u718f\u6d88\u6bd2\u6cd5\u8fdb\u884c\u6d88\u6bd2\uff0e\u5df2\u77e5\u836f\u7269\u91ca\u653e\u8fc7\u7a0b\u4e2d\uff0c\u5ba4\u5185\u6bcf\u7acb\u65b9\u7c73\u7a7a\u6c14\u4e2d\u7684\u542b\u836f\u91cf \uff08\u6beb\u514b\uff09\u4e0e\u65f6\u95f4 \uff08\u5c0f\u65f6\uff09\u6210\u6b63\u6bd4\uff1b\u836f\u7269\u91ca\u653e\u5b8c\u6bd5\u540e\uff0c \u4e0e \u7684\u51fd\u6570\u5173\u7cfb\u5f0f\u4e3a \uff08 \u4e3a\u5e38\u6570\uff09\uff0c\u5982\u56fe\u6240\u793a\uff0e\u636e\u56fe\u4e2d\u63d0\u4f9b\u7684\u4fe1\u606f\uff0c\u56de\u7b54\u4e0b\u5217\u95ee\u9898\uff1a
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6\uff0e \uff1b0.6
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\u4e0e \u7684\u56fe\u8c61\u5173\u4e8e \u8f74\u5bf9\u79f0\uff1b

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\u6052\u6210\u7acb\uff0c

\u3010\u8303\u4f8b3\u3011\u5df2\u77e5f(x)\u662f\u4e8c\u6b21\u51fd\u6570\uff0c\u4e0d\u7b49\u5f0ff(x)<0\u7684\u89e3\u96c6\u662f(0,5)\u4e14f(x)\u5728\u533a\u95f4[-1,4]\u4e0a\u7684\u6700\u5927\u503c\u662f12\u3002
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\u8bbe \u5219
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\u5f53 \u65f6\uff0c \u662f\u589e\u51fd\u6570\u3002

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\u6240\u4ee5\u5b58\u5728\u60df\u4e00\u7684\u81ea\u7136\u6570 \u4f7f\u5f97\u65b9\u7a0b \u5728\u533a\u95f4 \u5185\u6709\u4e14\u53ea\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u5b9e\u6570\u6839\u3002
\u53d8\u5f0f\uff1a\u8bbef(x)\uff1dl\u20142x2\uff0cg(x)\uff1dx2\uff0d2x\uff0c\u82e5F(x)\uff1d\u5219F(x)\u7684\u6700\u5927\u503c\u4e3a__________\uff0e


见图



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