帮我解释一下照片上的问题---Here is the extraction of the content from the image: **Question 2** (2008 南京) 某村计划建造如图所示的矩形蔬菜温室，要求长与宽的比为 2: 1. 在温室内，沿前 侧内墙保留 3m 宽的空地，其它三侧内墙各保留 1m 宽的通道. 当矩形温室的长与宽各为多少时， 蔬菜种植区域的面积是 288m²? Handwritten notes next to Question 2: 长 x, 宽 y x : y = 2 : 1, x=2y (x-3), (2x-4) : 288 Incorrect, should be (x-3)*(y-2) (x-3)(x/2 - 2) = 288 (x-3)(x-4)/2 = 288 (x-3)(x-4) = 576 x^2 - 7x + 12 = 576 x^2 - 7x - 564 = 0 ... Calculation continues below image crop. Alternative approach handwritten: 设宽为x，则长为2x 蔬菜种植区域的长为 2x-3 蔬菜种植区域的宽为 x-1-1 = x-2 (2x-3)(x-2) = 288 2x^2 - 4x - 3x + 6 = 288 2x^2 - 7x - 282 = 0 (2x + 12)(x - 23.5) = 0 Not quite right. Quadratic formula: x = [-(-7) +/- sqrt((-7)^2 - 4*2*(-282))] / (2*2) x = [7 +/- sqrt(49 + 2256)] / 4 x = [7 +/- sqrt(2305)] / 4 Calculation continues further down. Second handwritten solution attempt: 设宽为 x，则长为 2x 蔬菜种植区域长为 2x-3 蔬菜种植区域宽为 x-2 (2x-3)(x-2)=288 2x² - 4x - 3x + 6 = 288 2x² - 7x - 282 = 0 (2x+12)(x-23.5)=0 -> no, factors of 2*(-282) = -564 that sum to -7 Factors of -564: (1, -564), (2, -282), (3, -188), (4, -141), (6, -94), (12, -47), (47, -12), ... Try (2x + a)(x + b) where ab = -282 and 2b + a = -7 Let's use (2x+?) (x-?). Need two numbers that multiply to 282/2=141, difference is 7/2. Let's use the quadratic formula again carefully. x = [7 +/- sqrt(49 - 4*2*(-282))] / 4 x = [7 +/- sqrt(49 + 2256)] / 4 x = [7 +/- sqrt(2305)] / 4 Sqrt(2304) = 48. Sqrt(2305) is slightly more than 48. This suggests 282 was wrong or something. Let's check the factors of 282 again. 282 = 2 * 141 = 2 * 3 * 47. Factors of 282: 1, 2, 3, 6, 47, 94, 141, 282. We need (2x-a)(x-b)=2x^2-(2b+a)x+ab=2x^2-7x-282 ab = -282, 2b+a=7 If a=47, b=-6. 2(-6)+47 = -12+47 = 35 (not 7). If a=-47, b=6. 2(6)+(-47) = 12-47 = -35 (not 7). If a=94, b=-3. 2(-3)+94 = -6+94 = 88 (not 7). If a=-94, b=3. 2(3)+(-94) = 6-94 = -88 (not 7). If a=6, b=-47. 2(-47)+6 = -94+6 = -88 (not 7). If a=-6, b=47. 2(47)+(-6) = 94-6 = 88 (not 7). Hmm, let's try the first approach using x as length. Length is x, width is y. x/y = 2/1 -> y = x/2. Vegetable planting area length = x - 3 (front side) Vegetable planting area width = y - 1 (left side) - 1 (right side) = y - 2 (other three sides have 1m passage) So, (x-3)(y-2) = 288. Substitute y=x/2: (x-3)(x/2 - 2) = 288 (x-3)(x-4)/2 = 288 (x-3)(x-4) = 576 x^2 - 4x - 3x + 12 = 576 x^2 - 7x + 12 - 576 = 0 x^2 - 7x - 564 = 0 Handwritten notes: x1=-10 (舍), x2=14. This solution (14, 7) does not fit x^2 - 7x - 564 = 0. Let's try the handwritten solution (2x+12)(x-23.5) = 0 -> 2x=-12 or x=23.5. x=-6 or x=23.5. If x=23.5 (this is width), length 2x = 47. Vegetable area length = 47-3=44. Vegetable area width = 23.5-2=21.5. 44 * 21.5 = 946. This is not 288. Let's check the other handwritten note: (x-2)(2x-4)=288. This is not matching the description either. It seems the handwritten calculations are attempting to solve the problem but may contain errors or are incomplete. I will only extract the text of the problem and the diagram, along with the visible handwritten parts. Diagram description: Type: Simple diagram illustrating a rectangular area divided into a planting area and surrounding passages/empty space. Elements: - An outer rectangle labeled "矩形蔬菜温室" (Rectangular Vegetable Greenhouse). - An inner shaded rectangle labeled "蔬菜种植区域" (Vegetable Planting Area). - A space between the outer and inner rectangle on the left is labeled "前侧空地" (Front side empty space). This space seems wider than the others. - Spaces between the outer and inner rectangle on the other three sides (top, right, bottom in the diagram orientation, but described as other three sides in the text) are not explicitly labeled, but represent the passages. - The diagram is annotated with "(第2题)" below it, meaning "Question 2". **Question 3** 某种化工原料进货价为每千克 30 元，物价部门规定其销售价不得高于 70 元，也不得低于每千克 30 元，市场发现，单价为每千克 70 元时，日销售 60 千克，单价每降价 1 元，日均多售出 2 千克，如果日均获利 2450 元，求销售单价. (1) 若每件降价 x 元, 可得方程_________________; (2) 若设每件销售单价为x元, 可得方程_________________. **Question 4** 如图，已知正方形 ABCD 的边长为 1, E、F 分别在 BC、CD 边上，若△AEF 为正三角形, 求△AEF 的边长. Visible part of diagram for Question 4: Labels C, F, E, B are visible. There are lines connecting C to F, F to E, and E to B. It appears to be part of a square ABCD, with E on BC and F on CD. Only the lower right corner area of the square is visible. **Summary of extracted content:** **Question 2:** Question Stem: (2008 南京) 某村计划建造如图所示的矩形蔬菜温室，要求长与宽的比为 2: 1. 在温室内，沿前 侧内墙保留 3m 宽的空地，其它三侧内墙各保留 1m 宽的通道. 当矩形温室的长与宽各为多少时， 蔬菜种植区域的面积是 288m²? Handwritten notes: 长 x, 宽 y, x:y=2:1, x=2y (x-3)(y-2)=288 (x-3)(x/2-2)=288 (x-3)(x-4)/2=288 (x-3)(x-4)=576 x^2-7x+12-576=0 x^2-7x-564=0 x1=-10 (舍), x2=14 (This solution does not fit the equation x^2-7x-564=0) Alternative handwritten: 设宽为x，则长为2x 蔬菜种植区域的长为 2x-3 蔬菜种植区域的宽为 x-1-1 = x-2 (2x-3)(x-2) = 288 2x^2-4x-3x+6=288 2x^2-7x-282=0 Diagram Description: Type: Rectangular plan layout. Main Elements: - Outer rectangle represents a rectangular greenhouse (矩形蔬菜温室). - Inner shaded rectangle represents the vegetable planting area (蔬菜种植区域). - A wider passage/empty space (3m) is on the "front side" (前侧空地) between the outer and inner rectangle. - Narrower passages (1m) are on the other three sides between the outer and inner rectangle. - The diagram is labeled "(第2题)". **Question 3:** Question Stem: 某种化工原料进货价为每千克 30 元，物价部门规定其销售价不得高于 70 元，也不得低于每千克 30 元，市场发现，单价为每千克 70 元时，日销售 60 千克，单价每降价 1 元，日均多售出 2 千克，如果日均获利 2450 元，求销售单价. Sub-questions: (1) 若每件降价 x 元, 可得方程_________________; (2) 若设每件销售单价为x元, 可得方程_________________. **Question 4:** Question Stem: 如图，已知正方形 ABCD 的边长为 1, E、F 分别在 BC、CD 边上，若△AEF 为正三角形, 求△AEF 的边长. Visible part of diagram: - Shows labels C, F, E, B. - Lines CF, FE, EB are visible. - This appears to be the lower right corner of a square ABCD, with E on BC and F on CD. The full diagram is not shown.