下面的正方形网格中画了三个点。 Eve 站在网格内。她所在的位置在 X 的西北方向,且在 Y 的正北方向。Z 在 Eve 的什么方向?

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完整解法

11

1. Determine the coordinates of X, Y, and Z on the grid

Let the bottom-left corner of the grid be (0,0)(0,0).
ZZ is in the 1st column, 3rd row from bottom: Z=(1,3)Z = (1, 3).
YY is in the 3rd column, 4th row from bottom: Y=(3,4)Y = (3, 4).
XX is in the 5th column, 3rd row from bottom: X=(5,3)X = (5, 3).

2. Find Eve's location based on the given directions

Eve is north of YY, so her x-coordinate is the same as YY's: xE=3x_E = 3.
Eve is north-west of XX. North-west means moving left and up equally. From X(5,3)X(5,3), moving left 2 units and up 2 units gives (5−2,3+2)=(3,5)(5-2, 3+2) = (3, 5).
Since xE=3x_E = 3, Eve's location is E=(3,5)E = (3, 5).

3. Determine the direction of Z from Eve

Eve is at E(3,5)E(3, 5) and ZZ is at (1,3)(1, 3).
To go from EE to ZZ, we move left 2 units (West) and down 2 units (South).
Since the horizontal and vertical movements are equal, the direction is exactly South-west.

答案

South-west (option 2)

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