Current location - Training Enrollment Network - Mathematics courses - Junior high school first grade mathematics unit examination questions.
Junior high school first grade mathematics unit examination questions.
1. Compare the following logarithms:

(1)-0. 1 and-0.2;

(2)-45 and -56.

2. Compare the following logarithms:

(1)-82 1 and-17 |;

(2)-2 0 142 0 15 and -2 0 152 0 16.

Type 2 skillfully uses the nature of absolute value to find the value of letters.

3. Given | x-3 |+y-5 | = 0, find the value of x+y. 。

4. As we all know |x-2| and |y-3| are reciprocal, so find the value of x+y. 。

The Application of the Third Absolute Value in Life

The driver Xiao Li's operation all afternoon is in the north-south direction of Gulou Street. Assuming that the south is positive and the north is negative, his mileage this afternoon is as follows (km):+15, -3,-14,-1 1,-18.

6. In the activity class, six students made six ping-pong balls with plasticine. The diameter can have an error of 0.02 mm. The number of millimeters exceeding the specified diameter is recorded as positive, and the shortage is recorded as negative. The inspection results are as follows:

Li Ming, Zhang X Zhao Wei, a classmate who plays table tennis.

Test result+0.031-0.017+0.023-0.021.022-0.01.

(1) Please point out which students' table tennis is satisfactory?

(2) Point out which classmate plays table tennis best and which classmate plays table tennis worst?

(3) Please rank the quality of table tennis made by six students from best to worst;

(4) Use the absolute value knowledge to explain the above problems.

Reference answer

1.( 1) Because |-0. 1|=0. 1, |-0.2|=0.2, 0. 1

so-0. 1 >; -0.2.

(2) Because |-45|=45=2430, |-56|=56=2530 and 2430.

so-45 & gt; -56.

2. (1) simplify-|-17 | =-17, which is the comparative size of two negative numbers.

Because |-82 1|=82 1, |-17 | =17 = 321>; 17,

So-82 1

(2) Because |-20142015 | = 20142015, |-20152016 | = 20/kloc. 2 0 152 0 16,

so-2 0 142 0 15 & gt; -2 0 152 0 16.

3.x-3 |+y-5 | = 0,

X-3=0,y-5=0。

The solution is x=3 and y=5.

So x+y=3+5=8.

According to the meaning of the question, |x-2|+|y-3|=0.

So x=2 and y=3.

So x+y=5.

5. The total fuel consumption is 0.1× (|+15 |+|-3 |+14 |+|-1|+/kloc-0 |+4.

6.( 1) Zhang Bing and Cai Wei.

Cai Wei and Li Ming.

Zhang Bing, Yoga Yu, Zhao Ping, Wang X, Li Ming.

(4) This is the application of absolute value in real life. For errors, the smaller the absolute value, the better.