In the activity of "measuring the height of objects", four students of a math interest group choose to measure the height of four trees in the school. While basking in the sun, they did the following work:

Small square: the measured shadow length of a bamboo pole with a length of 1m is 0.8m, and the shadow length of a nail tree is 4.08m (as shown in figure 1).

Xiaohua: I found that the shadow of the B tree did not completely fall on the ground, but part of it fell on the wall of the teaching building (as shown in Figure 2). The shadow length on the wall is 1.2m, and the shadow length on the ground is 2.4m 。

Xiaoli: The measured shadow of the C tree falls on the ground, and some of it falls on the first step of the teaching building (as shown in Figure 3). The measured shadow length is 0.2m, the height of the first step is 0.3m, and the shadow length falling to the ground is 4.4m 。

In the activity of "measuring the height of objects", four students of a math interest group choose to measure the height of four trees in the school. While basking in the sun, they did the following work:

Small square: the measured shadow length of a bamboo pole with a length of 1m is 0.8m, and the shadow length of a nail tree is 4.08m (as shown in figure 1).

Xiaohua: I found that the shadow of the B tree did not completely fall on the ground, but part of it fell on the wall of the teaching building (as shown in Figure 2). The shadow length on the wall is 1.2m, and the shadow length on the ground is 2.4m 。

Xiaoli: The measured shadow of the C tree falls on the ground, and some of it falls on the first step of the teaching building (as shown in Figure 3). The measured shadow length is 0.2m, the height of the first step is 0.3m, and the shadow length falling to the ground is 4.4m 。

Xiaoming: The measured shadow length of Ding Shu is 2.4m on the ground and 3.2m on the slope (as shown in Figure 4). Xiao Ming, whose height is 1.6m, is standing on the slope, and his shadow length is 2m measured by Xiao Fang.

(1) Fill in the height of the nail tree directly on the horizontal line in meters.

(2) Find the height of tree B (draw a schematic diagram).

(3) Please select the height of the C-tree as ()

A, 6.5m b, 5.75m c, 6.05m d and 7.25m.

(4) Can you calculate the height of the Ding tree? attempt

Self-operation: As shown in Figure ①, point O is the midpoint of line segment MN. Compared with point O, lines PQ and MN can draw a pair of congruent triangles with point O as the center of symmetry.

According to the experience gained from the above operations, complete the following inquiry activities:

(1) Q 1: As shown in Figure ②, in quadrilateral ABCD, AB‖DC, E is the midpoint of BC, ∠BAE=∠EAF, AF and DC are compared with point F, try to explore the equivalent relationship between line segment AB and AF and CF, and write your conclusion.

(2) Question 2: As shown in Figure ③, in the quadrilateral ABCD, AB‖DC, E is the midpoint of BC, BAE = ∠ EAF, AF and DC extension lines are compared with point F, try to explore the equivalent relationship between line AB and AF, CF, and prove your conclusion.

(3) Inquiry 3: As shown in Figure 4, compared with point E, BA intersects with DE at point A, and BE:EC= 1:2, ∠BAE=∠EAF, CF ∠ AB, the equivalent relationship between AB line and AF and CF proves your conclusion.

(4) As shown in Figure 4, compared with point E, DE and BC intersect at point A, BE:EC= 1:n, ∠BAE=∠EAF, CF‖AB, and the equivalent relationship between line AB and AF and CF.