Welcome to Hamathster, where I share notes, exercises, and translations in mathematics and physics, alongside computing projects and observations from everyday life.

Browse Articles · Read Notes · Find Courses · Use Tools

Suppose a regular 17-gon has side length $a$ and is inscribed in the unit circle. Clearly,

Using complex numbers, one can obtain an algebraic expression for $a$, thereby solving the problem of constructing a regular 17-gon with straightedge and compass.

• Exam duration: 45 minutes
• Number of questions: 50
• Question types: Single-choice questions (20), True/False questions (20), Multiple-choice questions (10)
• Score: 2 points per question
• Full score: 100 points
• Passing score: 90 points or above

Waiting for the Exam

1. Assemble at the designated location and use your ID card to receive the exam number plate.

2. Go to the second floor and use your ID card for identity verification. The following requirements apply:

• Hats are not allowed.
• Masks are not allowed.
• Photochromic glasses are not allowed.
• Your chin must be fully visible.

If the ID card cannot be read successfully, wait patiently for manual verification.

3. Enter the waiting hall and wait for your name to be called.

4. After your name is called, go downstairs and take the shuttle bus to the exam waiting area. Store your phone in the electronic lockers at the back and wait patiently for your name to be called again. This may take quite a long time.

5. After your name is called, get into the vehicle and adjust the seat properly. When ready, state your name and the last four digits of your ID number, then look at the camera in front of you.

6. After facial recognition is completed in the driver’s seat, you are no longer allowed to speak.

Preparations After Getting into the Car

1. Adjust the seat Whether the seat is adjusted properly directly affects your control of the brake pedal.

2. Adjust the rear-view mirrors Proper mirror adjustment directly affects all reference points that need to be observed through the mirrors.

• Turn the knob to L to adjust the left rear-view mirror. Adjust it so that the vehicle body occupies about $\dfrac{1}{3}$ of the mirror.
• First adjust the mirror upward until you can see the left rear door handle, then adjust it downward so that the left rear door handle touches the upper edge of the mirror.
• Make sure that the left rear wheel is visible.

Similarly, adjust the right rear-view mirror:

• Turn the knob to R to adjust the right rear-view mirror. Adjust it so that the vehicle body occupies about $\dfrac{1}{3}$ of the mirror.
• First adjust the mirror upward until you can see the right rear door handle, then adjust it downward so that the right rear door handle touches the upper edge of the mirror.

If the mirror cannot be adjusted to the desired position, you can compensate by adjusting the seat position and your sitting posture.

3. Before the vehicle starts moving, do not rush to press the brake and shift into Drive. Be sure to check whether the parking brake has been fully released, whether the seat belt is fastened, and whether the doors are completely closed. These are all indicated on the instrument panel.

4. Slowly release the brake. Once you have confirmed that all preparations are complete, shift into gear and slowly release the brake pedal.

Common points where marks may be deducted before entering an exam item:

• Parking brake not fully released
• Seat belt not fastened as required
• Door not completely closed