已知一条抛物线和一个椭圆都经过点M(1,2),它们在x轴上具有相同的焦点F1,且

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问题:

已知一条抛物线和一个椭圆都经过点M(1,2),它们在x轴上具有相同的焦点F1,且两者的对称轴都是坐标轴,抛物线的顶点在坐标原点.
(1)求抛物线的方程和椭圆方程;
(2)假设椭圆的另一个焦点是F2,经过F2的直线l与抛物线交于P,Q两点,且满足
F2P
=m
F2Q
,求m的取值范围.
考点:椭圆的标准方程及图象抛物线的标准方程及图象圆锥曲线综合
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How to Avoid Weight Gain Over Holidays

Do you love the holidays, but hate the pounds that follow? You are not alone. Holidays are times for feasting and celebrating. Many people are worried about their weight. ______1______ Whether you are celebrating at the office party or sitting down for the traditional family dinner, regard eating as a time for tasting a variety of foods. The idea is to enjoy the holidays but not to eat too much. You don’t have to turn away from the foods that you enjoy.

Here are some tips for preventing weight gain and maintaining physical fitness:

Don’t skip meals.

Before you leave home, have a small, low-fat meal or snack. ______2______

Control portions.

Use a small plate (about 10 inches) and put aside the large ones that may encourage you to “load up.” ______3______ Once you have your “tasting” serving, move away from the dining table. Doing so will make it less tempting (吸引人的) to be eating constantly as your appetite is inspired by the sight of food.

Begin with soup and fruit or vegetables.

Fill up beforehand with water-based soup and raw fruit or vegetables. Or drink a large glass of water before you eat to help you feel full.

Stick to physical activity.

______4______ A 20-minute walk after a meal can help burn off additional calories.

______5______

Dishes that look oily or creamy may have a large amount of fat. Choose lean meats. Fill your plate with salad and green vegetables. Use lemon juice instead of dressing or butter.

A.This may help to avoid getting too excited before delicious food.

B.You had better turn your attention away from delicious foods.

C.With proper planning, though, it is possible to keep normal weight during the holidays.

D.You should be most comfortable eating an amount of food about the size of your fist.E. Avoid high-fat foods.

F. Don’t let exercise take a break during the holidays.

G. You’d better remember the Dos and Don’ts for keeping fit and slim.

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已知函数f(x)=x3-ax2+3x.

(Ⅰ)若x=3是f(x)的极值点,求f(x)在x∈[1,a]上的最小值和最大值.

(Ⅱ)若f(x)在x∈[1,+∞)上是增函数,求实数a的取值范围.

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(二)逻辑推理。共10道题,先给出一个题干,要求你在备选答案中找出你认为正确的答案。请开始答题:

A.故意夸大了商业伦理调查员的论述,使其显得不可信

B.指责商业伦理调查员有偏见,但不能提供足够的证据来证实他的指责

C.没能证实其他古董交易所也不能鉴定他们所卖的古董

D.列出了大仓号古董交易所的优势,但没有对商业伦理调查员的问题做出回答

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中英文互译:伤流

题型:解答题

粗车时,选择切削用量的顺序是( )。

A.Ap-V-F

B.F-Ap-V

C.V-F-Ap

D.Ap-F-V

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