已知抛物线y=2x2+1。求 (1)抛物线上哪一点的切线的倾斜角为45°? (2

题型:解答题

问题:

已知抛物线y=2x2+1。求

(1)抛物线上哪一点的切线的倾斜角为45°?

(2)抛物线上哪一点的切线平行于直线4x-y-2=0?

(3)抛物线上哪一点的切线垂直于直线x+8y-3=0?

考点:导数的概念及其几何意义
题型:解答题
阅读理解。
     A new supermarket put on a notice inside the entrance. It said, "Remember, once a week, one of
our customers (顾客) gets free goods (things that cost nothing). This may be your lucky day!" All the
housewives who went to the supermarket had one great hope: to be the lucky customer who didn't have
to pay for her shopping.
     For several weeks Mrs Blake hoped to be the lucky customer. Unlike many other customers, she
never gave up hope. Her kitchen was full of things she did not need. She dreamed of the day, when the
manager of the supermarket would come and say to her, "Madam, this is your lucky day and everything
in your basket is free."
    One Friday morning, after she finished her shopping and had taken all the things to her car, she found
that she had forgotten to buy tea. She went to the supermarket, got the tea and went towards the
check-out. As she did so, she saw the manager of the supermarket come to her. "Madam," he said,
"congratulations! You are our lucky customer and everything in your basket is free!"
1. From the notice in the new supermarket, we know that ______.
[ ]
A. customers could buy things at lower prices once a week
B. the customer who bought the least goods didn't have to pay
C. just one customer could get free goods once a week
D. the first customer who bought goods in the supermarket was the lucky one
2. What was Mrs Blake's hope?
[ ]
A. To buy something cheaper in the supermarket.
B. To see the manager of the supermarket.
C. To buy everything she needed in the supermarket.
D. To be the lucky customer.
3. Why did Mrs. Blake go back to the market after her shopping?
[ ]
A. Because she wanted to see who would be the lucky customer.
B. Because she forgot to buy one more thing.
C. Because she had to pay for her shopping.
D. Because she wanted to get another chance to be the lucky customer.
4. Which of the following is NOT TRUE according to the passage?
[ ]
A. The manager of the market was a clever businessman.
B. In fact the notice for free goods was a trick (诡计).
C. Mrs. Blake's dream came true at last.
D. Mrs. Blake did shopping every week in the past several weeks.
5. What would Mrs. Blake probably say when she heard the manager's words?
[ ]
A. "Oh, my God!"
B. "How lucky I am!"
C. "Everyone has a lucky day."
D. "It's very kind of you!"
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B.同级业务部门

C.上级业务部门

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