Test paper of junior high school mathematics competition in Pudong New Area
(There are * * * questions 15, 1~5, each with 6 points, and 6~ 10, each with 8 points,1~15, each with/kloc-.
1. If the equation about x
The solution of is nonnegative, so the value range of k is
.
2. Known
therefore
=
.
3. If a straight line
The length of the line segment cut by the two coordinate axes is 5, so the intercept of this straight line on the Y axis is
.
4. Known rectangular paper ABCD, AB=4, BC=8. Fold this paper along the diagonal BD, and then the area of the overlapping part of the folded paper is
.
5. If
, then
=
.
6. If
, then
=
.
7. As shown in the figure, quadrilateral ABCD and quadrilateral CEFG are both squares.
AB=5, then the area of △BDF is equal to
.
8. Known
, then
=
.
9.parabola
The two intersections with the X axis are located on both sides of the point (2,0), so the value range of A is
.
In 10.Rt△ABC, the lengths of two right-angled sides AC and BC are 8cm and 15cm respectively. Point D is on the AB side, point E is on the AC side, and CD and BE intersect at point F, and
, then CD=
.
1 1. It is known that real numbers A, B and C satisfy.
, then
=
.
12. As we all know, in trapezoidal ABCD, AD ‖BC, AD.
13. As shown in the figure, it is known that OC is the bisector of ∠AOB, and point P is on OC, and
OP=2 cm, ∠ AOB = 60, and the moving straight line passing through point P intersects with OA at point D,
Cross OB at point e, and then
=
Centimeter.
14. There are 100 students in a line of grade three in a school. Counting from 1 in turn, those who report odd numbers will leave the team; The rest of the students count again from 1, and those who report odd numbers leave the team; If this situation is repeated, then the number of students who reported for the first time should be
.
15. an m (m >) expressway toll station; 0) Vehicles queue up to wait for the toll to pass. Assuming that the traffic volume (the number of cars passing through the toll booth every minute) is unchanged, the speed of checking fees in each toll window is also unchanged. If you open a toll window, it will take 20 minutes for all the cars in line and the cars coming from behind to pass. If you open two toll windows at the same time, it only takes 8 minutes to pass through all the cars in line and the cars coming from behind. If it is required to pass all the cars waiting in line for charging within 3 minutes, and the cars that arrive later can pass at any time, then at least drive at the same time.
Charging window.
Shanghai Junior High School Mathematics Competition (Pudong New Area Trial Competition)
Test paper of junior high school mathematics competition in Pudong New Area
(There are * * * questions 15, 1~5, each with 6 points, and 6~ 10, each with 8 points,1~15, each with/kloc-.
1. If the equation about x
The solution of is nonnegative, so the value range of k is
.
2. Known
therefore
=
.
3. If a straight line
Cut by two coordinate axes
Shanghai Junior High School Mathematics Competition (Pudong New Area Trial Competition)