高中數(shù)學(xué)-導(dǎo)數(shù)及其應(yīng)用學(xué)案文

1、第四單元導(dǎo)數(shù)及其應(yīng)用xafxfxxafxfxxnnfxxfxxfxaxfxxfxaxaafxxfxgxfxgxfxgxfxgxfxgxfxfxnxnfxxfxxfxaxafxxfxxfxffxfxgxfxggxxgxxxxxxxxxxxxxxxxxxxxxxxxxxxxfxxaxaxaxaxaxafxxaxaxaxafxxafxaxxfaafxxafxxxfxfxxfafxxxfxfxffxxxfxxxxxxfxnnxnnnxxaxaxaaxxaxfxfxxxxfxfxxxxxxfxxxfaaa解析：選f解析：選fxx，由faa，得a，則aaxaaaayfxxfxyfxPxysttyyfxxx

2、gyfxykxgyfxxgxxfxxgxgyfxyfxxfgyxmnmmngxxfx，gxfxxfx，gffffxxxfxxfxyxyyxyfxMfyxfffyfxMyxfffffPPyxyaxxyxyaxxayxyxyxxxkxyxxxxyxxxxxyyaxxaxyaxxyxxyaxyxyxaxb，則實(shí)數(shù)byxaxbyxaaaababfxabfxfxfxfxfxfxfxfxfxfxfxfxxxxfxxxxfxfxaxbxcfxxfxaxbxcfxxfxaxbxcxfxfxxaxxafxfxxagxxxaaxaxaagammammyfxabfxabyfxabfxabfxxxmxmfxxxmxf

3、xxxmfxfxbxa內(nèi)，函數(shù)yfxxbxyfxfxbxa內(nèi)，函數(shù)yfxxbxyfxfxabfxabfxabfafbfxabfafbfxfxfxfxfxxaxxxafxxxfxxfxxxa解析：選fx解析：選fxx，且xfx，得x；令fx，得xxxfxxffxxffxxaxxafxxaxfxxaxxxaxxxgxxaxggagaaafxfxxaxaxaxxfxxaxaxxxaaaxxxxaaafffxxfxxxfffxfxxxfyxyxyxyxxxxfxxxMm，則MmfxxfxxxfxxfxffffMmMmfxxafaeeeflnflnlnlneeykxyxaxbabACyxaxbyxaxx

4、mxmyxxAxBxCxxDyxxyxxxxyxxxACCfxxmxxxmfxxxACDfxxxxxxxfxxfxfxxxmxmACyxyx由，當(dāng)Bxxxyxxyxxxx若函數(shù)xxxxax，)，則實(shí)數(shù)axfxxxfxxxafxxxfxfxxfxfxfxfxfxxaxxaafxfxfxxaxxaafxfxfxMfyxffffffxxgxxxgxxafxxaxaaxaxfxxfxxfxffffgxgxgxgxxxmgxmgxgxgxxgggggggxgxxgxxgxgmgxmfxxbxabfxxbxabafxbfxxaxyfxPfyxfxfxafxxxfaPfyxbbfxxafxxxafxfxaf

5、xxaxfxfxxfxaaaaaafxafxafxbabaabfbabbxyxxafxxayfxfyxfaaxyxfaaxfxfxafxfxxxxfxfxfxxxxxfxxxxfxxfxfxxfxfxfxxffxxffxfxxxfnxfnxfxfxfxfxfnxfnxnfxxxxxxxxxfxfxfxxfxfffffxxfxfxffxxxxxfxxxfxfxxxfxfxxxfxfxxxfxfxxxfxfxfxxxxfffyfxyxxxyxxxxxxxxy解析：選xxxxxxxxyyxxxxxxyxxfxxxfxxfxxfxxxfyxfyxxyyaxxfxxxxyfxffxxffyfxxyxOy

6、MCyxxCMMyxCMxxMxyMayaxxxxyaxaxxaaaaaaaxxxaaxxffxxfxxyxyaxaayaxxyyxaayaxxxayxxxaaxaaxxfxxxxfxxxfxxxfxxxfafxxxaxayfxfxfxafxafxxxxxyfxfxyaxxfxxaxgxxgxxgxxxxaxxaxgaxxaxxxgxgxgxagxxaaxaaxxxxxxgxgxxgxaAxfxkkfxkAxfxfxkffMxxkAxxffkfxfxxxyaxxyxaACyyaaxyayxxyyxxyxyykxbyxylnxbxyxxxyxyxxxyxxyxxxxxxxxxxxxxxbxfxa

7、xxfafxaxfafayaaxaaayxlnxyaxaxayxlnxyyyxxyxyxyxyaxaxaayxyxyaxaxyaxaxaaaxxxxyxayaxxayxxayxAyxCyxyxyxxxxxyxxxyAyxyxfxxAeeeCeefxkfxfxkfxkxexxxxlnxxekfxxgxxmxmfxgxfxxgxxmxmfxgxCfmACDDfxyxxkffyxgxxmgxxyxmyxyxmxmmAACCyeAxyCxyxyxyeeyeeeeeeeeeexexeyeexyxxyAxxfxfxxxfxyxyxyxxySeefxxfxxxyfxxyfx，fyxxyxyyxkfxxxxf

8、xxyxfxfxxxfxxfxfxxxxfxfxfxxxxxCfxfxeegxmxxmfxxyxxyfxegxmxfxgxfxexgxmcosxmmfxexegxmxxmmmmCCCfxxxfxxCCkkkkkxxxxxfxxxxyfxffxxxxfxxxxffyfxfyxhxhxxhxxhxhxxhxhfxfxffhxxxxxxxxfxyxxxllyxxxxxxxyxxylyxtxtttyxxxlxyxxxlyxxxxtxtxxxgxxgxgxxxxxxkkNMMMNMNyfxkkNMMMNMNyfxMNgggxyfxMxyNxykMkNMNfxxMxyNxyxxMNfxxxxttx31x3

9、2x31x32xxxxxxxxxxxxxxxxxxxxxxxxxxxttttgxggxgMNgxxxxgxxgxttfxaxxaxfxxafxaxxaxafxaxaxaxxxaxxaxaaaxfxfxaaaxfxfxxafffxafxxxfxfxfxfxabfxfxabfxfxfxxxxxfxxfxxxxfxxxxxxfxfxfxxxxxxxxxxfxfxxfxfxxxxxxyfxyfxyfxyfxfxaxbxcxdfxbcbcbcbcaaydfxaacfxfxbcabcyfxyfxafbfcafbfcfabcfxFxxfxfxfxfxxFxabccabcbaacbfxfxfxFxxfxxFx

10、FxFxcbafxxxaxfxafxxfxfxxfxxxxttx，由fxfxfxxfxaxxaxxfxfxfxxxaxxaaxxaxxgxxxxgxaatxxxttfxtttttttttttfxfxffxfxfxDfxfxxDfxfxfxIIfxIfxDfxDDxgxfxgxfxfxxxgxfxgxfxgxfxxfxxfxxxafxxxaxfxfxfxxfxxxfxfgxxfxfxxfxxxgxxfxxfxxfxxfxxgxxfxxfxfxxaaafxxxxfxxxffxxxaxfxxaxxaxxtgttattataaggaafxkxxkfxkxxfxkxxfxkfxxfxkkxkaafxxa

11、xfxaxfxafxaaaaxfxfxxxxfxxxaaxfxfxafxfx2xaxaxaxaafxafxxaxafxxafxfxaaafx2xfxaxafxfaaaaaafxaaaaaafxafxafxxxxafxfxxfxxfxxxxxfxfxxfxxxfxfxfxfxgxfxxxgxfxxfxfffffffffffffxxxxxfxfxfxxxxxfxfxfxxfxfffffffxxxxxxxxfxxxfxxxxxxxxfxfxfxfxfxfxfxxxxxfxfxfxxxxfxxfxxfxxfxxfxxfxxfxxfxxfxxfxx，則x，則gxffxfxgxxxfxxxxgxgxgxx

12、xgxgx，即fxfxxxfxxaxxfxxfxxfxaxxxxxxaafxxxxfxfxxxxfxxxxxxxaxfxxxxxfxafxxaxafxxaxafxxaxaxxxfxfxxxxfxxxaxxfxafxfxxaxfxxxxgxgxxgxxgxgxgfxxxaxafxxxaxfxxxafxxxaxfxxxaaxxgxxxgxxgxxxgxgxxgxgxxgxgxgaxaxaxgxxaxgxaaxfxfxfxtxxfxxmxxfxtxxfxxmxxmxxxxxxxxtxxxaaxxfxxxxxfxxxxaaaaaaaafxxxgxfxaxamgxfxaxagxxgxxaaxhxxahx

13、xxhxaafxxmxmxxxxxxxxxxmtxxxxxtxxxxtxtxfxxxaxaxxagfxxxaxaxxagxxxagxxhxxxahxxmaaaMahgaaaMaaMamaaaaaaMaaMamaaatxtmtxmfxafxfxMamaMamaxxaxafxgxahx，得xhxfxhxaaafxaafxaaamahaMahaMamamahaMahaMamaa3aaaMamaa3aaafxaxxaxafafxaxxaxafxafxfxafabaaaFxxxbfxxaxbxafxfxfxafxaxxfxfxbabaxxFxxFxxxxxxxHxxxHxxxHxHxxHxHxxHxHx

14、FxFafxxfxafxxaa，當(dāng)fxaxaHxxxHxxHxHxFxFxxFxFxbfxxaaxaayfxyfxafxxxxxxfxxfxxfxffxaaxaxaafxfxaaafxaaafxfxaaafxxafxaaaaaaaafxaafxafxfxyxfxfxfffxfffxfffxffxfxxfxxfxxfxxfxxfxfxxxfxxaafa設(shè)函數(shù)fxxaxbx，若xfa設(shè)函數(shù)fxxaxbx，若xfxafxaafxxxfxxyfxfxaafxxafxfxfxafxxaxaxafxxafxfxaafxxafaaafxafxxaaffxaxbxfxaxaxaxfxaaaafxxxfxfab

15、baxxxxaxfxaxfxxfxafxfxfxaxgxxxxgxxaafxxxaxafxxxaxfxxaxfxxgxxgxxgxgxgakfxkMfxxxkxkkfxkfxxxxfxxxxxxxfxxxxfxfxxfxfxkkgxxxxkkgxxxxgxxxgxxxxkxx，且當(dāng)kxkkxkfxxxxkxxxkfxkkxxgxgkkkkfxkkkfxkffkkkkffkhkfkfkkkhkkkkkkkkkhkxxhkxxhhhkkfxkfxxxaaaMkkkfxababfafbfxfafbxxxxfxxxxxfaaaafxfxfxxxaxxafxafxxxxaxxxaxxfxaxxxgxxx

16、xgxxxxgxxxxxxxxxxgxggxgaafxxxayfxfafatftxtfxxtfxfxftttatftatttfxfttttttttthtttthtttttthhthfxfxxfxxaxxfxfxxaxxfxxaxxaxxxaxaxxfxxaxxxaxaafxxxxxxxfxxxfxxfxxfxfxffxfxmmxmfxxxxmfxxfxmfkkxkkkxkmkxfxmkmmmkkkmkkkkkkmmmfxfxaaxafxxafxfxxaxbxcxfxyfxxfxfxxxfxfxfxxfxfxxmnxmhyxnxfxfxxaxbfxxx，且xx，則fxxfxxaxfxfxaaxa

17、fxfxafxxfaafxxfaaaahxxxxhxxfxaaaaamttftftttafxafaaagaaagagagaagaafxxxfxyfxllxfxfxxxxxxfxxfxfxxfxfxfxftftlyftxtftlxttttxhxtmtlxfxxaxbxabfxfxbafxfxaaafxxaxbfxfxaaafxxaxbxbxfxbaaaabfaaxxfxxaxbxaafxfxaabfxfxabaaafxxfxfxafxaabaabxfxfxxfxxxxxxxfxbfbaaabaaaaagtgtgtgttttgttgaaagaagbafxxfxxxxxaxxfxbahaaahhah

18、aabxxfxfxxaxbxxaxbxxaxbaxbaxxbxxaababfxfxhaaaahaaahaafxxxxxxfxxaxbxafxxaxbxaaxfxxxxxxxxxxfxxfxxfxxfxxfxab解析：選fxxaxbffabaabaaabababbbfxxbxcxxxx22xxxxx22xxxxbcbcbcfxxxxfxxxxxfxxxxxxxxfxxaxbxcxxfxfxxxxfxfxfxxaxbfxxaxbxcxxffabababcfxxxxcfxxfxxfxxfxxxxfxxxxfxxxaaaxaxafxxaxaxax，當(dāng)axa，則fxfafxfafafxfaaafxaaa

19、fxxxxfxkxkkfxxxxfxxfxxfxfxfxfxkxkxfkkkfxxxkkkfxxfxxkkkfxxfxxkkkfxkxxxfxkxkxxfxkxxfxkxxxxxxxxgxgxxgxxxxgxggxggxykgxaxxhxxaxaxxfxxxkxxaxxfxxfxxxxfxxxxfxfxfxfxf，又ffffaxxaaxxxxxxfxxxfxaxxfxfxxfxxxxxxfxfxfxfxxxfxffxxxfxfffxxfxxfxaxafxafxfxfaafxaafxxfxaxxfxaafxxmxxmxfxaxxfxxxfxxafxxxxxxtxaaxxxafxxxfxxxxxx

20、fxfxxxfxfxffxfxxmxmxxxmmxfxffxfxfxxxxxxmxxfxymxxmfxxaxafxfxfxxaxafxfxxxxxfxxfxfxxxxxxxaxxxxaxxfxxxaxaafxfxxxxfxfxxaxxxxxxfxxxxaxaxfxfxxxaxxxaxaxxxxxFxxxxxFFxxxxxxFxFFxFfxfxfxxaxbxxc,fxcfxxfxccfxxfxccaabaabaabaa3baaaabfxxaxbxxc,ffccacbccacbccabxaxaaaacacaaaaaaaaaaaaafafxxmxxfxxmxxacfxmxxxxfxmfxfxfxfx

21、xmxxmxfxgxxmxgmmmmmmfxxmxfxxmxxxxxxxxxmxxxxxxxxxxxxxxxxxxxxxfxxmxxxmxxfxfxxmxxxmxxxxxxtxxtmxxmxxxtxxxxxxttttttthttttthtttthttttthththfxfxkkkxfxkxakxxaxxxaxaffxaxxxxxfxfxxfxfxxfxyfxfxfxfxyxyyxyxxxyxyxykkABabCyACxyxaxybkaCAxCBkkkbxxCyxkakbxykkaykkbxxkbxyxbxbBbfxxaxafxagxfxaxfxxaxxfxxaxfxxaxfxfxxfxfxaa

22、afxaaagxgxfxaxxxaxxxgxxxaxFxxaxFxxaFxxaxFxFxxFxFxaaaFxaaFxFxFaaaFxFaaxFxxaxxgxgxyfxxfxfxgxxfxxgxxfxxgxxfxfxgxfxxaxyfxxfxfxxaxyfxxfxxaxfxfxxxxgxggxaxxyafxbbaaaxxxyfxxkfaaaaaxfxfxxxxxffffbbffffbbxfxffxbfbffxxxfxxfxfxfxfxfxfxxxxxcgxxcxxxcxcxcxxxfxfxxfxfxfxxfxxxxxxxcgxcxcxgxccxccxxgxgxxxgxgxcccxggxgxxcx

23、cxfxgxxDFxfxgxxDFxxDFxfxaxaxafxafxxafxxfxaxxxaxxxafxfxafxxaxxafxfxfxfxgxxsxxx2a2aahxfxgxxxhxaxxxxxxxxxxaxxxxxsxxxsxsxssxxgxaxfxaxxfxgxaaafgfxgxxxxxhxhxhxfxgxfxgxfxafxafxafxafxbfxbfxbfxbfxgxFxfxgxxMxNfxgxfxgxxMxNfxgxfxgxxMxNfxgxfxgxxMxNfxgxfxgxFxaxafxaxafxfafxfxafxfxa2xaxaxxafxfxafxxaxafxxafxfxaaafxa

24、aafafxaaaafaaaafaaamnnmmafaafxxafxxannnaxnnnnnnafafxafaafxafnnanannnnnfxaafxxaxfxafxaxaxxfxfxaaxafxfafxaxxxffffabbbfbbababbaaaaamfxxxaxaxxfxxxfxxxaxxxaafxxxfxaxfxxfxfxafxafxxxaxfxfxxfxfxxafxxafxfxaaxfxfxaxxxxxfxxxfxfxfxfxxxaxfxxxaxfxxxxxafxaafx2xauxafxaafx2xauxvxuxvx2xfabbbfbafxaaxaxaafxaxxbxayfxgxx

25、xxxgxgxgxgxfxxxfxaxfxfxafxaxafxfxaxaxfxaafxxf證明：由，可設(shè)fxx，當(dāng)xxxfxxfxfxxxxxfxfxxafxaxaaaaafbfxaxbfxaxxxaaafxaxx(xaxfxaxbfxaxxxaaafxaxx(xaxfxfxxfxaaaaaaaafxfxaaaaxfxaaaaaaaaxfbfxaxxaaaaaaafaaxfxfaaaaaaaaaaaaafafaaaafxxxxaafxfxannnfxfxxafxfxxxxxxxxxxfxxfxxfxfxfxagfxfxagaaaaagaannnxnxaxaxxaxagxxaxaaaafxxfx

26、fxxxnnnnnnnnnniinninfxfxsinfxxxxxxfxaxasincossincossinsinsincosqxgxxxfxxxxxaxgxfxgxmxxhxgxmxfmhmhxpApqqxxpAqfxxxxxagxfxxxxgxxxxgxgxgxgxhxgxqxfqhxgxhxgxqxfqhmgmmxfmhxgxmxfmHxgxxxfxHxgxxxxgxxxHxHxxxHxHxxxxHxHxfxHmhmHxgxxxfxHxgxgxgxxxHxHxxxHxHxxxxHxHxHmhxhmhxppqqxxpmqhxgxmxfmmxhxmxmxhxxmhxxppgxggxgpxpxfqfqgqgxpgqxxfqqgqxxfqqxgxfxfxpppqaxqAgxqxfxxxgxxqAgxqxfxxxgxafxxxfxgxxxxahxxxxxppqpqpqaqpgqpAqxxaxfxxfxgxafxxfxxfxxfxfxfxxaxxaxxhxxxxxhxxhxxhxhaUMxxNxxxxxxxxxxUMUNMxxNxx，所以UMxxUNxxxUMNxxUfxxxxxxMmMmmmNxxMNxxMmmm，NxxMNyxyxyxyxmmmymmmmmmmmmmmmmmmmmmmxxxxxxfxfxfxxfxxxfxxfxxfxxfxxxfxxfxfxyfxyx