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20 1 1 Answers to Mathematics and Science in Shanghai College Entrance Examination
20 1 1 Answers to Mathematics Examination Questions in Shanghai College Entrance Examination (Science)

Fill in the blanks

1、 ; 2、 ; 3、 ; 4, or; 5、 ; 6、 ; 7、 ;

8、 ; 9、 ; 10、 ; 1 1、 ; 12、 ; 13、 ; 14、 。

Second, multiple choice questions

15、 ; 16、 ; 17、 ; 18、 。

Third, answer questions.

19, solution: ................. (4 points)

Set, and then, ............. (12 points)

∵, ∴ ..............( 12)

20. Solution: (1) If it is timely or arbitrary, then

∵ , ,

∴ This function is an incremental function.

When, similarly, the function is theoretically a subtraction function.

When, then;

When, and then.

2 1, solution: let the height of a regular quadrangular prism be.

(1) even number, the bottom angle is, ∴ and the bottom angle is, namely

∵, midpoint, ∴, once again,

∴ is the plane angle of dihedral angle, i.e.

∴ , 。

(2) Establish a rectangular coordinate system as shown in the figure, including

Let the normal vector of the plane be,

Get

So, the distance from the point to the plane is.

22、⑴ ;

② Any, set, and then, that is.

② Hypothesis (contradiction), Ⅷ

The items in the series, not the items in the series, are exactly.

⑶ ,

, ,

When, in turn, ...

∴ 。

23. Solution: (1) Let it be a point on a line segment, then

, when,.

⑵ Set the endpoints of the line segments as respectively, and establish a rectangular coordinate system with a straight line as the axis and the midpoint as the origin.

Then, the point set is surrounded by the following curves

,

Its area is.

(3) (1) selection,

2 choice.

3 choice.