1. Fill in the blanks: (2 points for each question, ***30 points)
1, when x____ _ _, the score x/(2x- 1) is significant; When x____, the value of (x2-3x-4)/(x2-5x-6) is zero.
The square root of 2 1/49 is _ _.
The physical and chemical factor of 3,3-(5)1/2 is _ _ _.
4. In 4.RT δ ABC, ∠ c = 90, AB = 13cm, AC = 12cm, then BC = _ _ _ _, and the height on AB is _ _.
5. If (7.534) 1/2=2745, then (753.4)1/2 = _ _.
6. The quadrilateral of diagonal _ _ is a rectangle.
7. If the sum of the internal angles of a polygon is 1260, the polygon is a _ _ _ polygon.
8. The diagonal length of a square is 9(2) 1/2cm, the circumference is _ _ _ _, and the area is _ _ _ _.
9. In the following numbers, π, 3. 14,-(5)1/2,0,1/21,in which the irrational number is _ _.
10, quadratic form (2) 1/2, (75) 1/2, (1/27) 1/2, (1/50)/
The simplest root is _ _ _ _, and the same root is _ _.
1 1, in the trapezoid, the length of the midline is 17cm, the two diagonals are perpendicular to each other, and the included angle between one diagonal and the bottom is 30.
The length of the two diagonal lines of a trapezoid is _ _ _ _.
Second, multiple-choice questions (3 points for each question, ***30 points)
The arithmetic square root of 1, [-(25) 1/2]2 is ().
(5) 1/2 D，5
2, diamond is an axisymmetric figure, its axis of symmetry * * * has ().
A, two B's, four C's, six D's and eight.
3. The following conditions, can be judged as a parallelogram is ().
A, a group of opposite sides are equal; B, the two diagonals are equal.
C, one set of diagonally equal, another set of diagonally complementary D, one set of diagonally equal and one set of adjacent angles complementary.
4, the following formula is correct ().
a，(3) 1/2+(2) 1/2 =(5) 1/2 B，(a2-B2) 1/2 = a-B(a & gt； b)
c，(2) 1/2(5) 1/2 =( 10) 1/2D，2( 1/5) 1/2 = 10(5) 1/2
5. When x is a real number, the formula [(x+3) 1/2]/(x- 1) is meaningful in the real number range ().
A, x≥-3 B, x & gt-3 C, x≠ 1 D, x≥-3 and x≠ 1.
6, the following operation is correct ().
a，[( 1/a)- 1]/(a- 1)=[( 1-a)/a]/(a- 1)= 1/a B，(-a-b)/c=-[(a-b)/c]
c，[2x/(3x+5)]-2 = 2x-6x- 10 =-4x- 10D，a/[(a- 1)2]+ 1/[( 1-a)2]= a+ 1/[(a- 1)2]
7. The property that a square has but a diamond does not necessarily have is ().
A diagonal lines bisect each other b, diagonal lines equal to c, diagonal lines bisect a group of diagonal lines d, and diagonal lines are perpendicular to each other.
8. Simplified: [-(m3/a)] 1/2, with ().
a，m/a(am) 1/2 B，m/a(-am) 1/2 C，-m/a(am) 1/2 D，-m/a(-am) 1/2
9. There are four kinds of figures (1) parallelogram, (2) rhombus, (3) rectangle and (4) square. We can find a point.
The graph that makes the distance from this point to all edges equal is ().
A, (1) and (2) B, (2) and (3) C, (2) and (4) D, (3) and (4).
10, if the fractional agenda (x- 1)/(x-2)=a/(x-2) generates the root, then the value of a is ().
a，2 B， 1 C，0 D，- 1
Iii. Answer questions (3 points for each question, *** 15 points)
1, calculation: (1) x+2-4/(2-x) (2) [(12)1/2-4 (1/8)/kloc-0.
(3) Solve the equation:1/(x2-x) =1/(2x-x2)-4/(x2-3x+2).
(4) The two heights of Δ ABC are Be, and CF and M are the midpoint of BC, which proves that ME=MF.
(5) Draw a diamond so that its side length is 3cm and its diagonal length is 4cm.
4 (1) If x >；; 0，y & gt0，x+3(xy) 1/2-4y=0。 Find the value of (x) 1/2: (y) 1/2. (4 points)
(2) Given a2-3a+ 1=0, find the value of (a+ 1/a2-2) 1/2. (5 points)
5. It is known that the side length of square ABCD is 16, and f is on AD.
CE⊥CF extends through AB to E, and the area of δ cef is 200.
Find the length of BE. (6 points)
Six, the application of column equation solution (6 points)
Both A and B start from A to B. It is known that the distance between the two places is 50 kilometers, and the speed of B is 2.5 times that of A..
Start at 1 hour and 30 minutes, and then start for B. As a result, B arrives at B earlier than A 1 hour. What is the speed of the two?
Seven, take BE=BC on the diagonal BD of the square ABCD,
Even CE, p is a point on pq⊥bc ce; PR⊥BE，
Verification: PQ+PR={[(2) 1/2]/2}AB(4 points).