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The image you uploaded appears to be a geometry problem in Vietnamese. Let me break down and translate the parts of the problem:

1. **Given:**
   - A right triangle ABC with \( AB < AC \), right-angled at A.
   - The height \( AH \) is drawn from vertex A perpendicular to the side BC, meeting BC at point H.
   - A circle with center \( O \) intersects side \( BC \) at point E.

2. **Tasks:**
   - **a)** Prove that the line \( CA \) and the line \( CE \) are tangent to the circle at point E.
   - **b)** Prove that the line \( AK \) is perpendicular to \( BC \), where \( K \) is the point of intersection of the line \( AK \) with side \( BC \) at point Q.
   - **c)** Prove that \( F \) is the intersection of the lines \( EQ \) and \( BK \), and demonstrate that triangle \( \Delta KEF \) is congruent to triangle \( \Delta QEF \).

This looks like a rich geometric proof that involves proving tangency, perpendicularity, and congruency of triangles.

Would you like help with any specific part of the problem or a step-by-step solution for each part? Let me know what you'd like to explore first. 

Here are some related questions for further understanding:
1. How do you prove that a line is tangent to a circle?
2. What is the condition for two triangles to be congruent?
3. How can you use the concept of perpendicularity in geometry?
4. What properties does a right triangle with an altitude have?
5. How can you demonstrate the intersection of two lines in geometry? 

**Tip:** To prove tangency, you can often use the fact that the radius of the circle at the point of tangency is perpendicular to the tangent line.

Cho tam giác ABC vuông tại A (với AB < AC), đường cao AH (H ∈ BC). Đường tròn (B) bán kính BA cắt AH tại E.
1. Chứng minh CA và CE là các tiếp tuyến của đường tròn (B).
2. Kéo AK ⊥ LC tại K. Dựng thẳng qua B vuông góc với AK tại I cắt AC tại Q.
3. Chứng minh từ giáp BKE là hình chữ nhật và AB = BI = BQ.
4. Gọi F là giao điểm của EQ với BK. Chứng minh ΔKEB ≅ ΔEQB và AF ≅ FC.

Explore this geometry problem involving right triangles, tangency, and perpendicularity. The problem asks you to prove properties related to tangents to a circle, perpendicular lines, and congruent triangles. Suitable for high school geometry students (Grades 10-12).

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