图示为正方形网格中的 4 个点(A、B、C 和 D)。 下列哪个表述是错误的?

先不看答案,让 AI 诊断你卡在哪里?

它不会直接告诉你答案,而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的

完整解法

13

1. Determine the coordinates of each point from the grid description.

Let the bottom-left corner of the grid be (0,0)(0,0).

  • Point A is at (1,2)(1, 2).
  • Point B is at (4,5)(4, 5).
  • Point C is at (6,3)(6, 3).
  • Point D is at (4,1)(4, 1).

2. Evaluate statement (1): D is south of B.

B is at (4,5)(4, 5) and D is at (4,1)(4, 1). Since they have the same horizontal position and D is below B, D is exactly South of B. Statement (1) is true.

3. Evaluate statement (2): D is south-west of C.

C is at (6,3)(6, 3) and D is at (4,1)(4, 1). Moving from C to D requires going 22 units West and 22 units South. Since the horizontal and vertical distances are equal, D is exactly South-West of C. Statement (2) is true.

4. Evaluate statement (4): B is north-west of C.

C is at (6,3)(6, 3) and B is at (4,5)(4, 5). Moving from C to B requires going 22 units West and 22 units North. Since the horizontal and vertical distances are equal, B is exactly North-West of C. Statement (4) is true.

5. Evaluate statement (3): A is north-west of D.

D is at (4,1)(4, 1) and A is at (1,2)(1, 2). Moving from D to A requires going 33 units West and 11 unit North. Because the horizontal and vertical distances are not equal, A is not exactly North-West of D (it is West-North-West). Statement (3) is false.

答案

Option (3)

AI 分析,可能出错

用 AI 批改,圈出写错的那一步,并自动将你的薄弱点存入错题本,形成你的错因库。

同一知识点的其他题

  1. 1如图所示,WXYZ 是一个梯形,AXYB 是一个菱形。XBC 和 XAZ 是直线。WX // ZY,BC = BY,∠XAB=82∘\angle XAB = 82^\circ,∠ZYB=19∘\angle ZYB = 19^\circ 且 ∠WZX=57∘\angle WZX = 57^\circ…
  2. 2在下图中,ABCD 是一个梯形。AF 和 EC 是直线。 佩珊写了四个陈述来描述该图形。 陈述 A:∠AED=∠ABC\angle AED = \angle ABC 陈述 B:∠EDA=∠FDC\angle EDA = \angle FDC 陈述 C:∠ABC+∠ECB=180∘\angle ABC + \angle ECB = 180^\circ…
  3. 3在下图中,ABGF 和 BCDG 是菱形。∠ABF=31∘\angle ABF = 31^\circ,∠CBG=40∘\angle CBG = 40^\circ 且 EF 平行于 DG。 求 ∠FGD\angle FGD。 求 ∠DFE\angle DFE。
  4. 4图中,PQ = PS 且 SRP 是一条直线。求 ∠RQS\angle\text{RQS}。 答:___ ∘^\circ
  5. 53.76°= 度 分 秒.