专题----函数值域练习（学生版）课程.doc

专题------函数(值域或最值)练习 一? (1) ①的值域; ②的值域? (2) ①()的值域? ②求函数的值域; ③的值域; ④求函数的值域 (3) ①求函数的值域? ②求函数的值域的值域 (4) ①求函数的值域 ②的值域 ③求函数的值域 ④求函数的值域 ⑤求函数的值域;⑥求函数的值域 ⑦已知函数,则的最小值; (5) ①求函数的值域? ②求的值域? ?(6) ①求函数的值域? (7) 求函数的值域 求函数的值域 ③求函数的值域 (8) ①求函数的值域 ②求函数的值域 求函数的值域 ④的值域? ⑤的最大值; ⑥的值域; (9) ①已知三次函数,当时,函数的最大值,求的表达式; (10) ①求函数的值域? ②求函数的值域 ③求值域; ④求的值域 ⑤画出不等式组,表示的平面区域?设该平面区域为A,在此条件下解决下面问题: (Ⅰ)求A的面积;(Ⅱ)设; (Ⅲ);(Ⅳ); (Ⅴ);(Ⅵ); ⑥; (11) ①求函数; ②求函数的值域; 二? ① ; ② ; 三? ① ; ② ; ③已知函数的值域为[1,3],求a?b的值? ④已知二次函数满足条件,,且方程有两个相等实根?问是否存在实数,使得的定义域为[m,n]时,值域为[3m,3n]?如果存在,求出m?n的值;如果不存在,请说明理由? Acknowledgments The authors would like to thank Johns Hopkins University for the TC-1 cells. This work was supported by a National Health Research Institutes intramural grant (IV-103-PP-22) and grants from the National Science Council, which were awarded to Y.C. Song (NSC 99-2321-B-400-004-MY3) and S.J. Liu (NSC 103-2321-B-400-008). Author Contributions Y.C.S. and S.J.L. designed the studies. Y.C.S. performed the research and analyzed the data. Y.C.S. and S.J.L. wrote the manuscript. Additional Information C57BL/6 mice were immunized subcutaneously (s.c.) once with 1 μ g of peptide mixed with or without 10 μ g of CpG adjuvant. After one week, splenocytes were harvested, and the response of IFN-γ -secreting cells was determined by ELISPOT after 48 h of peptide stimulation. Briefly, 2 × 105 splenocytes were incubated with 1 μ g/ml irrelevant peptide or RAH peptide in an anti-IFN-γ -coated polyvinylidene fluoride (PVDF) plate for 48 h. After incubation, the cells were removed, and a biotinylated anti-IFN-γ Ab (eBioscience, San Diego, CA, USA) was added to each well. The plates were incubated at 37 °C for 2 h. Following the addition of the avidin-HRP reagent (eBioscience, CA, USA), the assay was developed using a 3-amine-9-ethyl carbazole (AEC; Sigma-Aldrich, MO, USA) staining solution. The reaction was stopped after