新高考数学一轮复习计算题精练专题12 定义域的运算（解析版）

函数定义域的相关计算1．函数SKIPIF1<0的定义域为________.【解答】令SKIPIF1<0，可得SKIPIF1<0，解得SKIPIF1<0.故函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为:SKIPIF1<0.2．函数SKIPIF1<0的定义域为______.【解答】由SKIPIF1<0，解得SKIPIF1<0，所以SKIPIF1<0，即函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.3．函数SKIPIF1<0的定义域为______________.【解答】依题意，SKIPIF1<0，解得SKIPIF1<0，所以原函数的定义域为SKIPIF1<0.故答案为：SKIPIF1<04．函数SKIPIF1<0的定义域是__________．（结果写成集合或区间）【解答】由题设SKIPIF1<0，则SKIPIF1<0，即SKIPIF1<0，所以定义域为SKIPIF1<0.故答案为：SKIPIF1<05．求函数SKIPIF1<0的定义域为_________．【解答】函数SKIPIF1<0有意义，则SKIPIF1<0，即SKIPIF1<0，解SKIPIF1<0，得SKIPIF1<0，解SKIPIF1<0，得SKIPIF1<0，于是SKIPIF1<0，所以所求定义域为SKIPIF1<0.故答案为：SKIPIF1<06．函数SKIPIF1<0的最小值为___________.【解答】函数SKIPIF1<0的定义域为SKIPIF1<0.由复合函数的单调性可知,SKIPIF1<0在SKIPIF1<0上单调递减,在SKIPIF1<0上单调递增.而SKIPIF1<0.所以,函数SKIPIF1<0的最小值为1.故答案为:1.7．求函数SKIPIF1<0的定义域为__________________.【解答】SKIPIF1<0的定义域需要满足SKIPIF1<0，即SKIPIF1<0，所以SKIPIF1<0，其中SKIPIF1<0，即SKIPIF1<0，故答案为：SKIPIF1<0.8．函数SKIPIF1<0的定义域为______．【解答】根据题意，得SKIPIF1<0，解得SKIPIF1<0，所以函数的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.9．函数SKIPIF1<0的定义域为______．【解答】SKIPIF1<0，SKIPIF1<0，SKIPIF1<0或SKIPIF1<0；所以定义域为：SKIPIF1<0.故答案为：SKIPIF1<010．函数SKIPIF1<0的定义域为________.【解答】由SKIPIF1<0知SKIPIF1<0；又由SKIPIF1<0，故定义域为R.故答案为：R11．函数SKIPIF1<0的定义域为________．【解答】由题设SKIPIF1<0，即SKIPIF1<0，所以SKIPIF1<0，可得SKIPIF1<0，故函数定义域为SKIPIF1<0.故答案为：SKIPIF1<012．函数SKIPIF1<0的定义域是___．【解答】为使函数SKIPIF1<0有意义，需满足SKIPIF1<0，即SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0，∴SKIPIF1<0且SKIPIF1<0，∴函数SKIPIF1<0的定义域是SKIPIF1<0且SKIPIF1<0.故答案为：SKIPIF1<0且SKIPIF1<013．若SKIPIF1<0，则SKIPIF1<0_________.【解答】由SKIPIF1<0有意义可得；SKIPIF1<0，所以SKIPIF1<0或SKIPIF1<0，当SKIPIF1<0时，SKIPIF1<0，SKIPIF1<0，当SKIPIF1<0时，SKIPIF1<0，SKIPIF1<0，故答案为：SKIPIF1<0或SKIPIF1<0.14．函数SKIPIF1<0的定义域是_________．【解答】要使函数有意义，需SKIPIF1<0；解得：SKIPIF1<0即SKIPIF1<0；故答案为：SKIPIF1<015．函数SKIPIF1<0的定义域是__________.【解答】由题意可得SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0.因此，函数SKIPIF1<0的定义域是SKIPIF1<0.故答案为：SKIPIF1<0.16．函数SKIPIF1<0的定义域是_____________.【解答】SKIPIF1<0的定义域满足SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，故答案为：SKIPIF1<017．函数SKIPIF1<0的定义域为___________.【解答】要使函数SKIPIF1<0有意义，则SKIPIF1<0，解得SKIPIF1<0，即函数的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.18．函数SKIPIF1<0的定义域是__．【解答】由SKIPIF1<0，得SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，所以函数的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.19．已知函数SKIPIF1<0的定义域为_______．【解答】函数SKIPIF1<0有意义，则有SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，所以函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<020．函数SKIPIF1<0的定义域为__________.【解答】函数SKIPIF1<0的定义域为SKIPIF1<0，解得：SKIPIF1<0.故答案为：SKIPIF1<0.21．函数SKIPIF1<0的定义域是_________．【解答】解：由解析式可知SKIPIF1<0，故函数的定义域为：SKIPIF1<022．函数y＝SKIPIF1<0的定义域为_____．【解答】解：若函数有意义，则SKIPIF1<0，解得SKIPIF1<0，故函数的定义域为SKIPIF1<0．故答案为：SKIPIF1<0．23．函数SKIPIF1<0的定义域为___．【解答】要使函数函数SKIPIF1<0有意义，需满足SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，故函数SKIPIF1<0的定义域为SKIPIF1<0且SKIPIF1<0，故答案为：SKIPIF1<0且SKIPIF1<024．函数SKIPIF1<0的定义域为__________.【解答】由题设SKIPIF1<0，故SKIPIF1<0，故定义域为SKIPIF1<0.故答案为：SKIPIF1<025．函数SKIPIF1<0的定义域为______．【解答】由题意得SKIPIF1<0，则定义域为SKIPIF1<0，故答案为：SKIPIF1<0.26．函数SKIPIF1<0的定义域为__________.【解答】要使SKIPIF1<0有意义，只需SKIPIF1<0，解得SKIPIF1<0，或SKIPIF1<0，所以函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.27．函数SKIPIF1<0的定义域是__________.【解答】要使函数有意义则：SKIPIF1<0，所以函数的定义域为SKIPIF1<0，故答案为：SKIPIF1<0.28．函数SKIPIF1<0的定义域为__________．【解答】由题意得，SKIPIF1<0，解得SKIPIF1<0，即函数定义域为SKIPIF1<0，故答案为：SKIPIF1<0．29．函数SKIPIF1<0的定义域为______.【解答】由SKIPIF1<0，所以函数SKIPIF1<0的定义域为：SKIPIF1<0.故答案为：SKIPIF1<0.30．函数SKIPIF1<0的定义域为_____________.【解答】要使函数SKIPIF1<0有意义，只需SKIPIF1<0解得：SKIPIF1<0且SKIPIF1<0，从而SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<031．函数SKIPIF1<0的定义域是________.【解答】由题意得SKIPIF1<0，即SKIPIF1<0，解得SKIPIF1<0，故定义域是SKIPIF1<0.故答案为：SKIPIF1<032．函数SKIPIF1<0的定义域为__________．【解答】因为SKIPIF1<0，所以SKIPIF1<0，即SKIPIF1<0，所以定义域为SKIPIF1<0.故答案为：SKIPIF1<0.33．函数SKIPIF1<0的定义域为__________．【解答】根据题意可得，SKIPIF1<0，解得SKIPIF1<0；即函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为:SKIPIF1<034．函数SKIPIF1<0的定义域是______．【解答】函数SKIPIF1<0的定义域满足：SKIPIF1<0.故答案为：SKIPIF1<0.35．函数SKIPIF1<0的定义域为__________.【解答】由题意可得SKIPIF1<0,故SKIPIF1<0，即SKIPIF1<0.故函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为:SKIPIF1<0.36．函数SKIPIF1<0的定义域为______．【解答】函数SKIPIF1<0有意义，需满足SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，故函数SKIPIF1<0的定义域为SKIPIF1<0，故答案为：SKIPIF1<037．函数SKIPIF1<0的定义域是______.【解答】函数SKIPIF1<0有意义应满足SKIPIF1<0，解得SKIPIF1<0，故答案为：SKIPIF1<038．函数SKIPIF1<0的定义域为____________．【解答】由题意SKIPIF1<0，解得SKIPIF1<0，即SKIPIF1<0；故答案为：SKIPIF1<0.39．已知函数SKIPIF1<0的定义域是_____________.【解答】函数SKIPIF1<0的定义域应满足SKIPIF1<0，解得SKIPIF1<0.故函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为:SKIPIF1<0.40．函数SKIPIF1<0的定义域是______.【解答】依题意SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，所以SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<041．函数SKIPIF1<0的定义域为_____________．【解答】由已知得SKIPIF1<0，解得SKIPIF1<0，即函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.42．函数SKIPIF1<0的定义域为__________.【解答】要使函数SKIPIF1<0有意义，则需满足SKIPIF1<0，解得SKIPIF1<0或SKIPIF1<0，所以函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.43．函数SKIPIF1<0的定义域为__________.【解答】由已知得SKIPIF1<0，解得SKIPIF1<0且SKIPIF1<0，即函数SKIPIF1<0的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.44．函数SKIPIF1<0的定义域为______．【解答】函数的定义域需满足SKIPIF1<0，解得：SKIPIF1<0且SKIPIF1<0，所以函数的定义域是SKIPIF1<0.故答案为：SKIPIF1<045．函数SKIPIF1<0的定义域是______.【解答】由SKIPIF1<0，得SKIPIF1<0，解得SKIPIF1<0或SKIPIF1<0，所以函数的定义域为SKIPIF1<0.故答案为：SKIPIF1<0.46．已知函数SKIPIF1<0的定义域为SKIPIF1<0，则函数SKIPIF1<0的定义域为______．【解答】因为函数SKIPIF1<0的定义域为SKIPIF1<0，则SKIPIF1<0，所以SKIPIF1<0，则有SKIPIF1<0，解得：SKIPIF1<0，所以函数SKIPIF1<0的定义