1. In the following categories, the correct calculation is ().
A.=4 B. = 5 C. = 1 D. = 5
Answer a
2. The arithmetic square root of is ()
A. 3rd century BC.
Answer b
Analysis ∵ =3,
The arithmetic square root of 3 is,
The arithmetic square root of ∴ is.
So choose B.
3. The following statement is true ()
The square root of a is 8 b, which is the square root of a.
C. = 3d. The square root of (-2) 2 is-2.
Answer b
4. The following calculation is correct ()
A.-32 =-9 SAR
Answer b
Analyze option A, because the cube of 2 is 8, so option A is wrong.
Option B, because -32 represents the reciprocal of the square of 3, so -32 =-9, so option A is correct.
C option, because it represents the arithmetic square root of 9, so C option is wrong.
The d option is wrong because it represents the arithmetic square root of the square.
So choose B.
5. The following statement is true ()
The cubic root of A. 27 is 3 b.9 and the arithmetic square root is 3.
The square root of C. is 4 d. The number of cubic roots equal to the square root is 1.
Answer b
In option A, the cube root of 27 is 3, so this option is wrong;
In option B, the arithmetic square root of 9 is 3, so this option is correct;
In option c, the square root of is, so this option is wrong;
In option d, the number of cubic roots equal to square roots is only 0, so this option is wrong;
So choose B.
6. The following option is correct ()
A. Any number has a square root. B. The number whose cube root is equal to the square root is 1.
C. the arithmetic square root must be greater than 0 d. Any positive number has two square roots.
Answer d
Because negative numbers have no square roots, option A is wrong, because the number of cubic roots equal to square roots is 0, so option B is wrong, because the arithmetic square root of 0 is equal to 0, so option C is wrong, because positive numbers have two square roots, which are opposite, so option D is right.
7. If the square root of a number is, then the cube root of this number is ()
A. The 4th day of the 2nd year BC
Answer d
Analysis is because if the square root of a number is,
So this number is 64,
So the cube root of this number is 4.
So choose D.
8. Among the following figures, () is unreasonable.
A. 3. 14 D BC.
Answer d
9. When (-) 0,0,0,0.01001…, -0.333 …, the irrational number is ().
A.2 B. 3 C. 4 D.5
Answer c
Analyzing the above numbers, such as,,, etc. cannot be simplified, so according to the definition of irrational numbers: "Infinitely circulating decimals are called irrational numbers", we can know that there are four irrational numbers:,, * *.
So choose C.
10. As shown in the figure, the number represented by the points on the number axis may be ().
A.B. C. D。
Answer c
Test analysis: there are pictures to prove it:
A. impossible
B. impossible
C. It is possible
D. impossible
So choose C.
1 1. Integer greater than-and less than ()
A.6 B. 5 C. 4 D.3
Answer c
12. The number in real number -5, 0, -3 is
A.-5 years BC-3 years BC
Answer d
According to the analysis, zero is greater than negative number, positive number is greater than zero, and the number is 3.
So choose: D. 2 1 century education.
13. The integer part of a real number is ().
A.2 B. 3 C. 4 D. 5
Answer b
Test analysis:
The integer part of is 3.
So choose B.
14. It is known that if b is an integer, the value of a may be ().
A.B. C. D。
Answer c
15. There are four ranges on the number axis, as shown in the figure, indicating that the point falls on ().
A. Paragraph1b. Paragraph 2c. Paragraph 3 d. Paragraph ④
Answer c
Analytical solutions: 2.62=6.76, 2.72=7.29, 2.82=7.84, 2.92=8.4 1, 32=9, ∫ 7.84 < 8.41,∴, ?
16. If, a and b are two consecutive positive integers, the value of is ().
A.9 B. 5 C. 4 D. 3
Answer d
A=4 and b=5, so choose D.
17. The estimated value is ()
Between A. 2 and 3, B. 3 and 4, C. 4 and 5, D. 5 and 6.
Answer c
Analysis 3 < < 4,4
So choose C.
18. If and x is an integer, the value of x that meets the condition is ().
A.5 B. 4 C. 3 D.2
Answer a
19. The estimated value is ()
Between A. 3 and 4, B. 4 and 5, C. 5 and 6, D. 6 and 7.
Answer b
Test analysis: ∵ 16 < 19 < 25,
∴4<