您所在的当前位置：高中数学试题 >

充要条件

> 已知p：x 2-4x+3＜0，q：x 2-（m+1）x+m＜0，（m＞1）．（1）求不等式x 2-4x+3＜0的解集；（2）若p是q的充分不必要条件，求m的取值范围．

问题：

发布时间：2024-09-10

已知p：x ²-4x+3＜0，q：x ²-（m+1）x+m＜0，（m＞1）．
（1）求不等式x ²-4x+3＜0的解集；
（2）若p是q的充分不必要条件，求m的取值范围．

参考答案：

提问用户：3P***wC6

可能感兴趣的题目：

1 下列物质属于纯净物的是（　　） A．漂白粉 B．盐酸 C．碘酒 D．液氯
2 某公司招聘员工要求有较好的英语水平，招聘考试分为英语笔试与英语口试两部分进行，每部分考试成绩只记“合格”与“不合格”，两部分考试都“合格”，则招聘考试通过，才有资格被录用。甲、乙、丙三人在笔试中合格的概率分别为；在口试中合格的概率分别为，且所有考试是否合格相互之间没有影响，（Ⅰ）分别求出甲、乙、丙三人招聘考试通过的概率；（Ⅱ）将甲、乙、丙三人中英语笔试合格的人数记为X，求X的分布列和数学期望EX。
3 如图是正在传播的一列波，通过这个波，我们不能知道的是 [ ] A．波源的振幅 B．波源振动的周期 C．波传播的速度 D．波源振动的频率
4 下表是元素周期表的一部分，回答下列有关问题（1）写出下列元素符号：①________，⑥________，⑦________。（2）画出原子的结构示意图：④____________，⑧____________。（3）在①~12元素中，金属性最强的元素是________，非金属性最强的元素是________，最不活泼的元素是________。（均填元素符号）（4）元素⑦与元素⑧相比，非金属性较强的是________（用元素符号表示），下列表述中能证明这一事实的是________。 a．常温下⑦的单质和⑧的单质状态不同 b．⑧的氢化物比⑦的氢化物稳定 c．一定条件下⑦和⑧的单质都能与氢氧化钠溶液反应（5）第三周期中原子半径最大的元素是_______（填序号），跟它同周期原子半径最小的元素是______（填序号），它们可以形成________（填离子或共价）化合物，用电子式表示其形成过程：________________________。（6）已知某元素原子最外层电子数是其次外层电子数的2倍，该元素可以与⑧形成一种AB 4型的化合物，请用电子式表示其形成过程：________________________。
5 小李清明节到云南大理旅游，看到了大理崇圣寺三塔（如下图），唐朝时在云南大理建立政权的少数民族是( ) A．吐蕃 B．南诏 C．回纥 D．回鹘
6 两个相互垂直的运动，一个是匀速，另一个是初速度为零的匀加速运动，其合运动一定是______（填“直线运动”或“曲线运动”）
7 设函数的定义域为D，如果对于任意的，存在唯一的，使（c为常数）成立，则称函数在D上的均值为c.下列五个函数：① ② ③ ④ ⑤ 满足在其定义域上均值为2的所有函数的序号是．
8 已知抛物线的方程是x=-4y 2，则其焦点坐标是______．
9 下列各句中，标点符号使用正确的一句是 (　　) A．人民币升值骤转为贬值了吗？人民币国际化将赖何推进？就此，受访者普遍认为，人民币近期贬值并非趋势性反转，但人民币兑美元的双边波动将加强。 B．描写对象的本质便是暗淡、模糊，诗句又何以写得如此鲜明动人，因为他敏锐地抓住了在暮色中纵横飞舞的蝙蝠，便写出了咏暮色的千古名句。 C．中国人民银行突然宣布下调金融机构存款准备金率，这是央行近3年来首次下调存款准备金率，这是否预示着从去年年底定调的“稳健货币政策”开始转向宽松。 D．只有经常走进基层，明白为了谁？依靠谁？我是谁？确立新闻工作为人民服务的职业坐标，才能避免犯脱离群众的错误。
10 阅读理解。 A new guidebook says being_ happy_ is_ just_ like_ being_ fit-you need to practice the skills needed to get this emotion,even during the darkest times. Roadtesting Happiness: How to be Happier by Australian journalist and author Sophie Scott is a selfhelp book with a difference."Being happy is something yo u need to focus on； it doesn"t come as a matter of course," Scott said."You always need to make an effort to be happy,even if you reach the point of saying you are contented,you still need to keep focusing and working on the things that made you happy." Scott also said the book was born out of her interest in the human mind as well as how difficult she found it to cope after her mother died of cancer two years ago. "I was always interested in psychology,but a lot of happiness books don"t address the fact that you can be happy even if your life isn"t going according to plan.The key is managing expectations. " She says,"In the book,I focused on what were the things most likely to make people happy,the ones with the most scientific evidence." People should think that being happy is yet another task you have to do and then feel guilty when you don"t do it.Scott says the road to a positive outlook begins with very easy,small steps. "Women in particular today______________:they"ve got to be thin,got to have a career,got to have a perfect relationship so the last thing you need is to be thinki ng you"ve got to be happy all the time," she said."But it is important to improve your quality of life.Stop rushing around and filling each moment of the day with things to do,and then sit down and think about your life and how you"re feeling.The things I got out of this were not things that take a lot of effort:feeling more grateful for the things you"ve got；adjusting your reaction to situations and people.It"s about changing small habits,more tinkering around the edges instead of totally checking and changing your life." 1．By saying "being happy is just like being fit",the author probably means________. A．people should practice how to remain happy B．people should spend more time working out C．keeping happy is the key to continuing our life D．it"s difficult for people to keep happy all the time 2．What should we do if we want to remain happy in Scott"s opinion? A．Do some scientific research into the skills of being happy. B．Work hard to achieve your expectations. C．Read more books about psychological activities. D．Think that being happy is a very important task to do. 3．Which of the following would be proper to be filled in the blank? A．get high expectation B．feel overloaded C．can"t look after themselves well D．have no friends to help them

已知p：x 2-4x+3＜0，q：x 2-（m+1）x+m＜0，（m＞1）． （1）求不等式x 2-4x+3＜0的解集； （2）若p是q的充分不必要条件，求m的取值范围．

可能感兴趣的题目：

已知p：x ²-4x+3＜0，q：x ²-（m+1）x+m＜0，（m＞1）．
（1）求不等式x ²-4x+3＜0的解集；
（2）若p是q的充分不必要条件，求m的取值范围．