高三单调性基础讲义导数

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1、1、已知函数（其中）的图象与x轴的交点中，相邻两个交点之间的距离为，且图象上一个最低点为.()求的解析式；（）当，求的值域. w.w.2、已知函数（）求函数的最小正周期；（）求函数在区间上的最小值和最大值利用导数求函数单调性讲义题型一、不含参数求单调区间1、设函数(其中).() 当时,求函数的单调区间；2、已知函数(1)求当时,讨论的单调性;3、已知函数. () 求函数的单调区间; 题型二、简单的含参数讨论函数单调性1、讨论的单调性，求其单调区间2、讨论的单调性，求其单调区间3、讨论的单调性4、讨论的单调性5、求的单调区间6、已知函数f(x)=xax+(a1)，讨论函数的单调性,求出其单调区间

2、。7、已知函数()设，求的单调区间8、已知函数（）讨论的单调性；9、已知aR，函数（1）求f(x)的单调区间设函数f(x)= exax2()求f(x)的单调区间10、已知函数，x其中a0.（I）求函数的单调区间；三、利用单调性求参数取值范围1、函数y=ax3x在(,+)上是减函数，则实数的取值范围为 ；2、若函数f（x）=ax3x2+x5在R上单调递增，则a的范围是 3、已知函数在R上是减函数，则的取值范围是： 4、若在R上是增函数，则（ ）（A） （B） （C） （D）5、设在上是单调函数. 则实数的取值范围为 ； 6、若函数f(x)=x3-ax2+1在（0，2）内单调递减，则实数a的取值范

3、围为 7、设函数利用导数求函数零点问题1、函数y=f(x)的图像与x轴的交点问题.设函数（1）对于任意实数，恒成立，求的最大值；（2）若方程有且仅有一个实根，求的取值范围变式：要使f(x)=0有且仅有三个实根, 求a的取值范围2、函数y= f(x)图像与直线y=b的交点问题1、已知函数求的单调区间； 若在处取得极值，直线y=m与的图象有三个不同的交点，求m的取值范围。2、已知函数其中是的f(x)的导函数。（）对满足的一切的值， 都有求实数的取值范围；（）设，当实数在什么范围内变化时，函数f(x)的图像与直线3只有一个公共点。3、已知是函数的一个极值点（）求；（）求函数的单调区间；.（）若直线与

4、函数的图像有3个交点，求的取值范围3、函数y= f(x)图像与函数y=g(x)图像的交点问题已知函数（I）求在区间上的最大值（II）是否存在实数使得的图象与的图象有且只有三个不同的交点？若存在，求出的取值范围；若不存在，说明理由。Winger Tuivasa-Sheck, who scored two tries in the Kiwis 20-18 semi-final win over England, has been passed fit after a lower-leg injury, while Slater has been named at full-back but is

5、still recovering from a knee injury aggravated against USA.Both sides boast 100% records heading into the encounter but Australia have not conceded a try since Josh Charnleys effort in their first pool match against England on the opening day.Aussie winger Jarryd Hayne is the competitions top try sc

6、orer with nine, closely followed by Tuivasa-Sheck with eight.But it is recently named Rugby League International Federation player of the year Sonny Bill Williams who has attracted the most interest in the tournament so far.The Kiwi - with a tournament high 17 offloads - has the chance of becoming t

7、he first player to win the World Cup in both rugby league and rugby union after triumphing with the All Blacks in 2011.Id give every award back in a heartbeat just to get across the line this weekend, said Williams.The (lack of) air up there Watch mCayman Islands-based Webb, the head of Fifas anti-r

8、acism taskforce, is in London for the Football Associations 150th anniversary celebrations and will attend Citys Premier League match at Chelsea on Sunday.I am going to be at the match tomorrow and I have asked to meet Yaya Toure, he told BBC Sport.For me its about how he felt and I would like to sp

9、eak to him first to find out what his experience was.Uefa hasopened disciplinary proceedings against CSKAfor the racist behaviour of their fans duringCitys 2-1 win.Michel Platini, president of European footballs governing body, has also ordered an immediate investigation into the referees actions.CS

10、KA said they were surprised and disappointed by Toures complaint. In a statement the Russian side added: We found no racist insults from fans of CSKA. Baumgartner the disappointing news: Mission aborted.The supersonic descent could happen as early as Sunda.The weather plays an important role in this

11、 mission. Starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. The balloon, with capsule attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. It will

12、climb higher than the tip of Mount Everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. As he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.The balloon

13、 will slowly drift to the edge of space at 120,000 feet ( Then, I would assume, he will slowly step out onto something resembling an Olympic diving platform.They blew it in 2008 when they got caught cold in the final and they will not make the same mistake against the Kiwis in Manchester.Five years

14、ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by Englands Josh Charnley in the opening game of the tournament.That could be classed as a weakness, a team under-cooked - but I have been impressed by the Kangaroos focus in the

15、ir games since then.They have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, especially on their own goal-line, completing sets and a good kick-chase. Theyve been great at all the unglamorous stuff that often goes unnoticed in the stands but not by your

16、team-mates.It is as though their entire tournament has been preparation for the final.In Johnathan Thurston, Cooper Cronk, Cameron Smith and either Billy Slater or Greg Inglis at full-back they have a spine that is unmatched in rugby league. They have played in so many high-pressure games - a priceless asset going into Saturday.The Kiwis are a lot less experienced but winning a dramatic match like their semi-final against England will do wonders for their confidence.They defeated Australia in the Four Nations final in 2010 and the last World Cup, and know they can rise to the big occasion.