https://file.aiquickdraw.com/mathbot/file/1727011148298fx8j24bs.jpg

The problem on the right side of the image involves a geometric diagram with a semicircle, triangle, and angles. Here's a brief breakdown of the two questions:

1. **First Question (問1):**
   - The question asks about the type of triangle \( OAB \).
   - Based on the image, triangle \( OAB \) seems to be inscribed in a semicircle where \( OB \) is a radius and \( AB \) is a chord.

2. **Second Question (問2):**
   - The question asks for the measurement of the central angle \( \angle \theta \).
   - Since the semicircle is involved, the angle at the center is typically related to the inscribed angle \( \angle OAB \).

Let me summarize what we can infer:

- Triangle \( OAB \) is likely a **right triangle** due to the semicircle property that any triangle inscribed in a semicircle, with one side as the diameter, is a right triangle.
- The central angle \( \theta \) can be determined using geometric properties of the circle, possibly depending on how the chord or other angles relate to it.

If you need a more detailed solution or clarification on any part, feel free to ask! Now, here are 5 related questions for deeper understanding:

1. How does the semicircle property help us conclude that triangle \( OAB \) is a right triangle?
2. What is the relationship between the inscribed angle and the central angle in a circle?
3. How do you calculate the length of the chord \( AB \) using geometric formulas?
4. What are the specific steps to find the size of the central angle \( \theta \)?
5. Can you apply the Pythagorean theorem to find any missing lengths in triangle \( OAB \)?

**Tip:** Remember, any triangle inscribed in a semicircle, with one side as the diameter, is always a right triangle.

The problem asks about a triangle OAB inscribed in a semicircle, where OB is the radius and AB is a chord. The two parts of the question ask about the type of triangle OAB and the size of the central angle θ.

This problem involves analyzing a triangle OAB inscribed in a semicircle, identifying the triangle type, and calculating the central angle θ. Key geometric theorems such as the right triangle inscribed in a semicircle and the relationship between inscribed and central angles are explored.

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