分别讨论函数[tex=6.5x1.357]5u5wbX0Z1f3wA1C6sH5c4aQHBBC1hnX3bCnireKtlm4=[/tex]，当[tex=1.857x1.0]gwTh+TvjPbFZOOD08+S3Wg==[/tex]，[tex=2.214x2.357]+wSSWReddxLJfOAWWyRxUA==[/tex]，[tex=2.643x1.143]9qhDsCUKN53SYvxSdUq4Zg==[/tex]时，是否为复合函数？如果是复合函数，写出它的定义域.

2022-06-04

分别讨论函数[tex=6.5x1.357]5u5wbX0Z1f3wA1C6sH5c4aQHBBC1hnX3bCnireKtlm4=[/tex]，当[tex=1.857x1.0]gwTh+TvjPbFZOOD08+S3Wg==[/tex]，[tex=2.214x2.357]+wSSWReddxLJfOAWWyRxUA==[/tex]，[tex=2.643x1.143]9qhDsCUKN53SYvxSdUq4Zg==[/tex]时，是否为复合函数？如果是复合函数，写出它的定义域.

答案：

[tex=3.357x1.214]WVzgDyX7adK8GwWUt1WrkA==[/tex]，其定义域[tex=5.5x1.357]K3FW6TXLjFEo67Cp43BWbaG8RzBIGqSQ2xQDeRbqezM=[/tex].当[tex=1.857x1.0]hbkUQ2X/71dsuvn1xCcr8g==[/tex]时，函数[tex=4.857x1.143]NTO9H68Jje7A/8LyLtMDxQ==[/tex]的值域[tex=3.714x1.357]Ob0c4N4wIKezHney6enobA==[/tex]，[tex=5.286x1.286]e3UzwZLN8X3/R6UtvgechYmMsDd6T9CrgMrf/VpbqJ3jEpWoC1n6fIoLddf/BRO8[/tex]，故[tex=6.429x1.357]Ad43koNK1/JPSTPGy39CURQjot3V9KO66Y2ZvBlK3Kc=[/tex]是复合函数，由[tex=5.286x1.143]aENIS/JAt2FR+8vckAA/Ig==[/tex]，得定义域[tex=4.643x1.357]3+NDETjbtRnj+mD3xG2zviOhqLdK3LTtKMvqcRw22dQ=[/tex]；当[tex=2.214x2.357]XqYlEBLSJxeNFufs0QcA6A==[/tex]时，函数[tex=4.857x1.143]NTO9H68Jje7A/8LyLtMDxQ==[/tex]的值域[tex=6.071x2.786]QUfaPcBs91SUlVNk/uo1/rvrLe0Ci610h7gCms7Q3nVvGUernFnIYat/+eJX6LTK[/tex]，[tex=5.286x1.286]e3UzwZLN8X3/R6UtvgechYmMsDd6T9CrgMrf/VpbqJ3jEpWoC1n6fIoLddf/BRO8[/tex]，[tex=1.286x1.0]NVYsSfCDgQevAl5PqFOJVA==[/tex][tex=6.286x2.786]qW7OWqwDBg8i0efTZprMROAiFew+Esl3pyQA/TcLdywQrW221DlH0pNFyI9yhl9v[/tex]是复合函数，由[tex=5.714x2.357]rMPYvlx4tgvR2IN34ZE4ETmUgbWCijrpM/tQJi3Xfv8=[/tex]，得定义域[tex=9.071x2.786]6yfXcBKiEmCrMePuG3Zqneh0dRNwRE+A8suDNYNthEHqqC9EpMNCCS86plYCe4FU+O4/OX+io0P+5JJz1Dmxgw==[/tex][tex=2.714x1.357]3RKTCNLw/vDKFS5levwckA==[/tex]；当[tex=2.643x1.143]EGY5OeGdkmT8htK4v+7VMw==[/tex]时，函数[tex=4.857x1.143]NTO9H68Jje7A/8LyLtMDxQ==[/tex]的值域[tex=5.286x1.357]Jm4vrBSKLtDfrbVFOijDaQ==[/tex]，[tex=5.286x1.286]e3UzwZLN8X3/R6UtvgechYmMsDd6T9CrgMrf/VpbqJ3jEpWoC1n6fIoLddf/BRO8[/tex]，[tex=1.286x1.0]NVYsSfCDgQevAl5PqFOJVA==[/tex][tex=6.286x2.786]qW7OWqwDBg8i0efTZprMROAiFew+Esl3pyQA/TcLdywQrW221DlH0pNFyI9yhl9v[/tex]不构成复合函数.

举一反三

内容

0
若:(1)函数 f(x)在点[tex=0.929x1.0]cjoIbYuE/p4IqfLA8eA4ZA==[/tex]有导数,而函数g(x)在此点没有导数;(2)在点[tex=0.929x1.0]cjoIbYuE/p4IqfLA8eA4ZA==[/tex]函数f(xr)和g(x)二者都没有导数,可否断定他们的积[tex=6.5x1.357]/gAVQ00H2rftxTI44M7tvg==[/tex]在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数?
1
求函数[tex=3.286x1.429]kdT+eIE7CHPynuN6CaN40g==[/tex]（抛物线）隐函数的导数[tex=1.071x1.429]BUw1BPFU3fsJlAl/vt9M9w==[/tex]当x=2与y=4及当x=2与y=0时,[tex=0.786x1.357]Hq6bf3CacUy07X+VImUMaA==[/tex]等于什么?
2
对函数[tex=4.214x2.429]6tH0Bct4KP4fPnjqJeNu+zikzekSn1o9v2gKgyG5lhA=[/tex],回答下列问题:(1)函数[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在[tex=1.857x1.0]bOlCq/PHWhsSVMaVf7Obdg==[/tex]处的左,右极限是否存在?(2)函数[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在[tex=1.857x1.0]bOlCq/PHWhsSVMaVf7Obdg==[/tex]处是否有极限? 为什么?(3)函数[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]在[tex=1.857x1.0]fwov+ZzREJJP/GTCJbKvrw==[/tex]处是否有极限? 为什么?
3
求下列函数的导函数：(1) [tex=5.0x2.357]X/CieCDGJ7iPQ3YFWuscHxHrcIE/dPFa9tFyiJXze8A=[/tex](2)[tex=6.643x1.714]Oj74y/L+OxY81QME5JWMcl+7PZ2FGQswwvjgVhjq1Dmb6dBU0oAjZBW7eFBVjqo6[/tex]
4
用卡诺图化简下列函数为最简的与-或式。(1) [tex=22.357x1.357]pDNSCnAEqLz3kIF5GOseCADWoJ2zyw9dNm4zrnV536puhB3W/cSEHB/i2Lr2dq2C1efR0FaJUU07kO+NK4x3aw==[/tex](2) [tex=11.929x1.357]JgrhJhdXgUstvJuMlAXJex1MARjPnBfEeP5cq1XZb6usKvWgIa0+arBuEtV+QYWw[/tex](3) [tex=21.786x2.0]F6Z+kKDOhiyiZwbNy6sYLyH2A2ZKhX5GVZD66bt1Rb0TGonc2SSNrsQhM2OitQhwCfLuy1F88+J59clu0fwhEA==[/tex](4) [tex=19.929x2.0]7hQgje32R7JEZN/yPFrSRoDXZfNUCRjkChIsEh75yoWB5inQ2NwTDmSBM/Hsp+nC[/tex](5) [tex=18.0x1.357]EaKBRi3owkFtB3WZ7EzmyfTmOHHCQfmmewQQRXtfNmykzKh1iLOzagG+/Wig25jG[/tex](6) [tex=27.571x1.357]gZO24L3xPddQhpEsfiRjkGQ3h93MqCqznbHddr1Bi7pA87vKdV6WFORT4/4hxI8yAh1SBB7B/qVh/ai8Q4KCUCNcdLE5dn4GI7DX4Kquo44=[/tex]