Hi, what do you think of the picture that you have seen? I think you have the same feeling –it makes you . _______(feel) stressed.
Now more and more people in the world . _______ (get) fatter, which troubles them a lot. In the past 25 years, the number of the people with obesity (肥胖症) in Europe has doubled. Experts say that it has a lot
. ______(do) with our eating habits.
Our eating habits are very important for good health and a strong body. Most of us like eating sweets and ice cream. They are not bad for us if we eat them at the end of a meal. If we eat them before a meal, they may . ______(take) away our appetite (食欲)
To eat our meals at the same time every day is important for us. When we feel worried, we may not want to eat. A long time ago in England, some judges (n.法官；v.判断) often judged if a man . ______(tell) the truth by giving him some dry bread. If the man could not swallow(吞) the bread, it meant that he was not honest. A man who is worrying about something has trouble in
. ______(swallow) anything dry.
如图，在平面直角坐标系中，已知点A、B、C在x轴上，点D、E在y轴上，OA＝OD＝2，OC＝OE＝4，B为线段OA的中点，直线AD与经过B、E、C三点的抛物线交于F、G两点，与其对称轴交于M，点P为线段FG上一个动点（点P与F、G不重合），作PQ∥y轴与抛物线交于点Q．
（1）若经过B、E、C三点的抛物线的解析式为y＝－x2＋（2b－1）x＋c－5，则b＝ ，c＝ （直接填空）
（2）①以P、D、E为顶点的三角形是直角三角形，则点P的坐标为 （直接填空）
②若抛物线顶点为N，又PE＋PN的值最小时，求相应点P的坐标.
（3）连结QN，探究四边形PMNQ的形状：
①能否成为平行四边形
②能否成为等腰梯形？若能，请直接写出点P的坐标；若不能，请说明理由.
如图①，将一张矩形纸片对折，然后沿虚线剪切，得到两个（不等边）三角形纸片△ABC，△A1B1C1．
（1）将△ABC，△A1B1C1如图②摆放，使点A1与B重合，点B1在AC边的延长线上，连接CC1交BB1于点E．
①求证：四边形C1B1AB为梯形.
②若∠A="45°," ∠ABC="30°," 求∠B1C1C的度数
（2）若将△ABC，△A1B1C1如图③摆放，使点B1与B重合，点A1在AC边的延长线上，连接CC1交A1B于点F．试判断∠A1C1C与∠A1BC是否相等，并说明理由．
（3）在（2）的条件下，若AC＝3，B1C1＝6，设A1B＝x，C1F＝y，写出y与x的函数关系式（不要求写出自变量的取值范围）
某经销商代理销售一种手机，按协议，每卖出一部手机需另交品牌代理费100元，已知该种手机每部进价800元，销售单价为1200元时，每月能卖出100部，市场调查发现，若每部手机每让利50元，则每月可多售出40部.
（1）若每月要获取36000元利润，求让利价
（利润＝销售收入－进货成本－品牌代理费）
（2）设让利x元，月利润为y元，写出y与x的函数关系式，并求让利多少元时，月利润最大？
如图，已知AB为⊙O的直径，E是AB延长线上一点，点C是⊙O上的一点，连结EC、BC、AC，且∠BCE＝∠BAC.
（1）求证：EC是⊙O的切线.
（2）过点A作AD垂直于直线EC于D，若AD＝3，DE＝4，求⊙O的半径.
的图象在第四象限相交于点P，并且PA⊥x轴于点A，PB⊥y轴于点B，已知B（0，－6）且S△DBP＝27.
的图象与△ABP总有公共点，直接写出n的取值范围.
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