如图 在平面直角坐标系中 正方形 ABCD 的边 AB 在 x 轴上 点 A 的坐标为(-2,0) 点 E 在边 CD 上 将 三角形 BCE沿 BE折叠 点 C 落在点 F 处 若点 F 的坐标为 (0,6) 则点 E 的坐标为 (第14题)---**Question 14:**
**Question Stem:**
14. 如图,在平面直角坐标系中,正方形 ABCD 的边 AB 在 x 轴上,点 A 的坐标为(-2,0), 点 E 在边 CD 上,将 $\triangle BCE$ 沿 $BE$ 折叠,点 C 落在点 F 处. 若点 F 的坐标为 (0,6),则 点 E 的坐标为 _______ .
**Options:**
(No options provided)
**Other Relevant Text:**
如图
在平面直角坐标系中
正方形 ABCD
的边 AB 在 x 轴上
点 A 的坐标为(-2,0)
点 E 在边 CD 上
将 $\triangle BCE$ 沿 $BE$ 折叠
点 C 落在点 F 处
若点 F 的坐标为 (0,6)
则点 E 的坐标为
(第14题)
**Chart/Diagram Description (Question 14):**
* **Type:** Geometric figure (Square and folded triangle) on a Cartesian coordinate system.
* **Main Elements:**
* **Coordinate Axes:** X-axis (horizontal) and Y-axis (vertical) intersect at the origin O. The X-axis is labeled 'x' and the Y-axis is labeled 'y'.
* **Origin:** Labeled O.
* **Points:** Labeled A, B, C, D, E, F, O. Point A is on the x-axis to the left of O. Point B is on the x-axis to the right of O. O appears to be between A and B. Point D is directly above A. Point C is directly above B. Point E is on the line segment CD. Point F is located on the positive y-axis.
* **Shapes:** Square ABCD. Triangle BCE is shown. Triangle BFE is formed after folding.
* **Lines:** Solid line segments form the square ABCD (sides AB, BC, CD, DA) and the triangle BCE (sides BC, CE, BE). The line segment BE is the fold line. Solid line segments BF and FE are the folded images of BC and CE respectively. Dashed lines from C to the x-axis and to the right, and from E to the x-axis and y-axis, indicate coordinate positions or boundaries of the square.
* **Labels and Annotations:** Points A, B, C, D, E, F, O are labeled. Axes are labeled x and y. The figure is labeled "(第14题)" at the bottom.
* **Relative Position and Direction:** ABCD is a square. AB lies on the x-axis. A is at (-2,0). AB is to the right of A. D is vertically above A, and C is vertically above B. CD is parallel to the x-axis. E is on CD. Triangle BCE is folded along BE such that C maps to F. F is at (0,6).
**Question 15:**
**Question Stem:**
(No question stem provided)
**Options:**
(No options provided)
**Other Relevant Text:**
(第15题)
**Chart/Diagram Description (Question 15):**
* **Type:** Geometric figure (Triangle with internal lines and indicated right angles).
* **Main Elements:**
* **Points:** Labeled A, B, C, D, E.
* **Lines:** Line segments AB, BC, CA form a triangle ABC. Line segment CD is drawn from C to D. Line segment AE is drawn from A to E, where E is on BC.
* **Angles:** A right angle symbol is shown at vertex C, indicating $\angle ACB = 90^\circ$. A right angle symbol is shown on line segment CD at point D, indicating that CD is perpendicular to AD or some other line, likely indicating $\angle ADC = 90^\circ$ if D is on AB, or perhaps CD is the altitude from C to AB. A right angle symbol is shown on line segment AE at point E, indicating that AE is perpendicular to BC, i.e., $\angle AEB = 90^\circ$.
* **Shapes:** Triangle ABC.
* **Labels and Annotations:** Points A, B, C, D, E are labeled. Right angle symbols are present at C, D, and E. The figure is labeled "(第15题)" at the bottom.
* **Relative Position and Direction:** Triangle ABC has a right angle at C. E is a point on side BC, and AE is perpendicular to BC at E. D is a point, and CD is drawn, with a right angle indicated at D.