1. In the rectangular ABCD, point E and point F are on the AB side and the AD side respectively, connecting EF and FC. It is known that EF bisects the area of rectangular ABCD, which proves that quadrilateral AFCE is a diamond.

2. Knowing that the image of linear function y=kx+b passes through points (-2,0) and (0,4), find the analytic expression of this function and draw the image.

3. As shown in the figure, in △ABC, AD is the height on the side of BC, AE is the midline on the side of BC, ∠ BAC = 60, sinB= 1/3, and find the value of cos∠DAE.

4. In △ABC, AB=AC, D is on BC, BD=AD, DC=AC, connecting AD and DC, which proves that the quadrilateral ADCE is a rectangle.

5. Given that the image of the proportional function y=kx passes through the point (3, -6), find the analytic expression of this function and draw the image.

Matters needing attention in mathematics learning in the first volume of Grade 8:

1, make a reasonable study plan: eighth grade mathematics study needs to make a reasonable study plan. This plan should include weekly study time, study content and review plan. Ensure that you have enough time to study and finish your homework every day, and set aside a part of time every week to review and consolidate what you have learned. We should also adjust our plans according to our own learning situation and interests, and maintain a positive learning attitude.

2. Pay attention to the study of basic knowledge: The study of eighth grade mathematics needs to pay attention to the study of basic knowledge. In the process of learning, we should listen carefully, take notes, understand and master basic concepts, formulas, theorems and other basic knowledge. Only by mastering these basic knowledge can we better understand and solve more complicated problems. Do more exercises and strengthen the consolidation and application of basic knowledge.

3. Learn to solve problems: eighth-grade mathematics learning needs to learn to solve problems. In the process of learning, we should learn to analyze problems, find ideas and methods to solve problems, and be able to use what we have learned to solve problems. We should also learn to sum up the experience and methods of solving problems and constantly improve our ability to solve problems. We should also pay attention to communication and discussion with classmates and teachers, solve problems and share learning experiences.