已知圆C的方程是
(I)如果圆C与直线y=0没有公共点,求实数m的取值范围;
(II)如果圆C过坐标原点,直线l过点P(0,)(0≤a≤2),且与圆C交于A,B两点,对于每一个确定的a,当△ABC的面积最大时,记直线l的斜率的平方为u,试用含a的代数式表示u,试求u的最大值.
暂无解析
阅读下面短文,掌握大意,然后从每题所给的A、B、C、D四个选项中选出最佳选项。
Once, there was a beautiful girl who didn ’t like herself, because she was blind, she couldn ’t see anything. In fact, the girl __11__ nobody except her boyfriend, for he was always __12__ to help her. She used to tell her boyfriend, “ __13__ I could see the world, I would marry you. ” One day, someone donated* a pair of __14__ to the girl. When the bandages* came off ,she was able to see __15__ ,including her boyfriend for the __16__ time. He asked her, “Now that you can see the world, will you __17__ me?” The girl looked at her boyfriend and was greatly surprised to see that he was blind, __18__ . She had never expected that, and she would not like to be with a blind husband for the rest of her li fe, so she __19__ to marry him. Her boyfriend left in tears and a few days later wrote a __20__ to her, saying, “My dear, take good care of your eyes. Before they are yours, they were __21__ .” So, this is how the human brain* often works when our status* changes. Only a very few remember __22__ life was like before. And we often ask for more than we need. Life is a gift. Today, before you complain about the __23__ of your food ,think of those who have nothing to __24__. Before you complain about life ,think of some ones who went to heaven* too early. Before you complain about your old __25__ , think of the people who are living in the streets. And when you are ti red and complain about your job, think of those who have no jobs. In a word, enjoy the things you have and don ’t forget your past.
Jack is a teacher of English. He is not young,but he is not old. He has a round face and black hair.He is tall. There are fifty students in his class. They all like him.Now it's in the afternoon. Look,some students are working in the classroom. Jack is there,too.He is helping them to study English. He is a good teacher, and he is a good friend of them all.
()1. What does Jack do?
A. He is a worker.
B. He is a teacher.
C. He is a doctor.
D. He's a nurse.
()2. What colour is his hair?
A. It's black.
B. His heir is white.
C. It is brown.
D. He has yellow hair.
()3. How many students are there in his class?
A. There are fifteen students in his class.
B. There's fifty.
C. He has fifty.
D. There're fifty in it.
()4. Jack is a good teacher,isn't he?
A. Yes ,he isn't.
B. No ,he is.
C. Yes,he's.
D. Yes ,he is.
()5. What are the students doing in the classroom?
A. They are walking there.
B. They are doing their lessons.
C. They are helping their teacher.
设函数f(x)=acos2x+(a-1)(cosx+1),其中a>0,记|f(x)|的最大值为A,
(Ⅰ)求f'(x);
(Ⅱ)求A;
(Ⅲ)证明|f'(x)|≤2A
已知圆C的方程是
(I)如果圆C与直线y=0没有公共点,求实数m的取值范围;
(II)如果圆C过坐标原点,直线l过点P(0,)(0≤a≤2),且与圆C交于A,B两点,对于每一个确定的a,当△ABC的面积最大时,记直线l的斜率的平方为u,试用含a的代数式表示u,试求u的最大值.
计算不定积分:∫x1+xdx。
设A,B为随机事件,试证:P(A)=P(A--B)+P(AB).
在简支梁的挠度测量中,已知,支座1和支座2及梁中心处测得的位移为0.10mm、0.56mm和6.80mm,求梁中心处的挠度值。
四边形ABCD是的内接四边形,AB的延长线与DC的延长线交于e点,且CB=CE。证明:角D=角E
如图所示为二杆桁架,1杆为钢杆,许用应力[σ]1=160MPa,横截面面积A1=6cm2;2杆为木杆,其许用压应力[σ]2=7MPa,横截面面积A2=100cm2。如果载荷P=40kN,试校核结构强度。
某公司拟通过更新设备改造一条矿泉水生产线,预计改造后每年可节约费用25万元。现有甲,乙,丙三种可供选择的设备,其购置费均为100万元,专家评审打分情况如下表所示:
(1)计算改造后的设备投资回收期。
(2)该公司应选择哪一种设备?
脱式计算(能简算的要简算):
[112+(3.6-115)÷117]÷0.8
阅读下列材料:小明为了计算2+2+22+....+22017+22018的值,采用以下方法:
设S=1+2+2+2+2①
则2S=1+2+22+....22018+22019②
②-①得2S-S=S=22019-1
∴S=1+2+22+....22017+22018=22019-1
请仿照小明的方法解决以下问题:
(1)1+2+...+29=______;
(2)3+32+3...+310=————;
(3)求1+a+a2+...+an的和(a>0,n是正整数,请写出计算过程)