The square root of 1. (Nanjing, 2008)2 is ()
A. the fourth century BC.
2. (Wuhan 2008) The result of calculation is ()
A.2b . 2c-2d . 4
3. The following statement is true ()
The square root of A. 1 is 1 B. 1 is the square root of 1.
C.- 1 is the square root of-1 D. 0 has no square root.
4. In the following formula, the correct one is ()
A.=-2B。 =2 C. = 2 D. =2
5. The following statement is true ()
The cube root of A. 27 is 3b .- The cube root is 3b.
C.-2 is the square root of -8. D-27 has no cubic root.
*6. If = 4-k, the value range of k is ()
A.k ≥ 4 b.k ≤ 4 c.k = 4 d.k is any number.
* 7. (Huzhou, Zhejiang, 2007) The estimated value of+2 is in ().
Between A. 5 and 6, B. 6 and 7, C. 7 and 8, D. 8 and 9.
**8. When x =-3, the positive or negative value is ().
A.-3 B. 3 C. 3 D. 9
*9. The arithmetic square root of a number is equal to itself, so this number is ().
A. 1 and-1b. 1 and 0c. 1d. 1, 0,-1.
** 10. If it makes sense, the smallest integer that A can take is ().
A.0 B. 1 C. - 1 D. -4
** 1 1. If the square root of is 2, then the value of a is ().
A. 16
** 12. If the arithmetic square root of a natural number is a, then the arithmetic square root of its next natural number is ().
A.a+ 1 B .
Step 2 fill in the blanks
The arithmetic square root of 1 Is _ _ _ _ _ _ _, and the arithmetic square root of 3 is _ _ _ _ _ _.
2. if x2+ 1 = 6 and x > 0, then x = _ _ _ _ _ _ _
3. Calculation: () 2 = _ _ _ _ _, = _ _ _ _ _, () 2 = _ _ _ _ _ _ _ (A ≥ 0).
4. The surface area of the cube is 150cm2, and the side length of the cube is _ _ _ _ _ _ _.
5. The arithmetic square root of a number is equal to the cube root of this number, and this number is _ _ _ _ _ _ _.
6. (Hebei 2007) Comparative size: 7 _ _ _ _ _ _. (fill in >, -c .-2 < d. 0 0, then the relationship between a and size is ().
A.a > b.a = c.a < d. All the above conclusions may be valid.
* 1 1. satisfies -< x b, a2 > b2b. If a > | b |, a2 > B2.
C. if | a | = () 2, then a = b d. if a3 > B3, then a2 > B2.
Step 2 fill in the blanks
The irrational number in 1.-2. ,,-,,,π, 0 is _ _ _ _ _ _ _.
2. The real number with the smallest absolute value is _ _ _ _ _ _ _.
3. The reciprocal of-1is _ _ _ _ _ _ _, and the absolute value is _ _ _ _ _ _ _.
*4. Comparison size: 0.34 _ _ _ _ _; -_____- 1.42。
5. Simplification: |1-| = _ _ _ _ _, = _ _ _ _ _, |-1.74 | = _ _ _ _ _ _.
* 6. (Hangzhou, Zhejiang, 2008) Write the negative rational number greater than-1 as _ _ _ _ _ _ _ _; The negative irrational number greater than-1 is _ _ _ _ _ _ _.
7. (Ningxia in 2008) Calculation: 5-= _ _ _ _ _ _.
* * 8. (Yibin, 2007) Mathematicians invented a magic box. When any real number pair (a, b) enters it, it will get a new real number: A2+B+ 1. For example, if you put (3, -2) in, you will get 32+(-2)+ 1.
Three. solve problems
1.(Hainan in 2008) Calculation: +(- 12) ×-(- 1) 2.
2. Compare the sizes of the following groups.
(1)- and -3
(2) and
3. Write numbers that meet the following conditions.
(1) The sum of all integers whose absolute value is less than;
(2) All integers whose absolute value is less than 8.
**4. It is known that the fractional part of 5+ is A and the fractional part of 5- is B. Find the value of A+B. ..
**5. Let x and y be rational numbers and satisfy the equation x+2y-y = 17+4 to find the value of (+y) 2008.
**6. Known b
Test answer
I. Multiple choice questions
1.D 2。 A 3。 B 4。 D 5。 C 6。 C 7。 B 8。 B 9。 B 10。 A 1 1。 B 12。 D
Step 2 fill in the blanks
1.2,2.3.454. 5cm 5。 0 or 1 6. < 7.48.59.310.11.5 or -5 12.
Three. solve problems
1.( 1) The square root is: positive or negative, and the arithmetic square root is:
(2) The square root is 0.09, and the arithmetic square root is 0.09.
(2) The square root is: positive or negative, and the arithmetic square root is:
(2) The square root is: positive or negative, and the arithmetic square root is:
2.( 1)0. 1 (2)-6 (3) (4)-
3.( 1)x2=，x=
(2) Take 2x- 1 as a whole, 2x- 1 =+. When 2x- 1 =, x =；; When 2x- 1 =-, x =-
4.∫( 1-2a)2≥0，≥0，( 1-2A) 2+= 0，∴ ( 1-2A) 2 = 0，= 0，∴ 65438+。
5. The cube root of ∵ 3x+16 is 4, and the arithmetic square root of ∴ 3x+ 16 is 43, ∴ x = 16, ∴ 2x+4 = 36, ∴ 2x+.
Four. Practical application problems
1. The area of each square floor tile is16 ÷100 = 0.16 (m2), and the required side length of the square floor tile is 0.4 (m).
2. The volume of the first cube is 63 = 2 16 (cm3), the volume of the second cube is 2 16+ 127 = 343 (cm3), and the length of the second cube is = 7 (cm).
I. Multiple choice questions
1.C 2。 A 3。 B 4。 A 5。 D
6.D 7。 B 8。 C 9。 C 10。 D 1 1。 B 12。 B
Step 2 fill in the blanks
1.-,,,π 2.0 3. 1-,- 1
4. 5.- 1,- 1, 1.74- 6.-; -(not unique)
7.3 8.66
Three. solve problems
1. Original formula = 4-6- 1 =-3.
2.( 1)>(2)