\u8a72\u6a21\u578b\u7121\u6cd5\u6709\u6548\u8655\u7406\u8a9e\u6c23\u3001\u591a\u4eba\u5c0d\u8a71\u6216\u80cc\u666f\u566a\u97f3\uff0c\u4e5f\u7121\u6cd5\u8f38\u51fa\u7b11\u8072\u3001\u6b4c\u8072\u6216\u60c5\u611f\u3002<\/p>\n\n\n\n
GPT-4o \u73fe\u5728\u5c07\u9019\u4e9b\u529f\u80fd\u6574\u5408\u5230\u4e00\u500b\u6a21\u578b\u4e2d\uff0c\u66f4\u6709\u6548\u5730\u7406\u89e3\u548c\u8f38\u51fa\u60c5\u611f\u3002\u5b83\u9084\u80fd\u6a21\u4eff\u4eba\u985e\u5c0d\u8a71\u4e2d\u7684\u97ff\u61c9\u6642\u9593\uff0c\u5e73\u5747\u70ba320\u6beb\u79d2\u3002<\/p>\n\n\n\n
\u5be6\u969b\u61c9\u7528\u2014\u2014\u5716\u50cf\u8655\u7406<\/h3>\n\n\n\n
\u4ee5\u4e0b\u662f\u4e00\u500b\u4f86\u81ea OpenAI \u98df\u8b5c\u7684\u5716\u50cf\u8655\u7406\u793a\u4f8b\u3002\u9996\u5148\uff0c\u5b89\u88dd\u4e26\u5347\u7d1a OpenAI SDK\uff0c\u7136\u5f8c\u521d\u59cb\u5316\u5ba2\u6236\u7aef\uff1a<\/p>\n\n\n\n
pip install --upgrade openai<\/pre>\n\n\n\nfrom openai import OpenAI
import os
client = OpenAI(api_key=os.environ.get(\"OPENAI_API_KEY\", \"<your OpenAI API key if not set as an env var>\"))<\/pre>\n\n\n\nGPT-4o \u53ef\u4ee5\u76f4\u63a5\u8655\u7406\u5716\u7247\u4e26\u6839\u64da\u5716\u7247\u63a1\u53d6\u667a\u80fd\u884c\u52d5\u3002\u6211\u5011\u53ef\u4ee5\u63d0\u4f9b\u5169\u7a2e\u683c\u5f0f\u7684\u5716\u7247\uff1aBase64 \u7de8\u78bc\u6216 URL\u3002<\/p>\n\n\n\n
\u4ee5\u4e0b\u662f\u67e5\u770b\u6211\u5011\u5c07\u4f7f\u7528\u7684\u5716\u7247\u7684\u7a0b\u5f0f\uff1a<\/p>\n\n\n\n
from IPython.display import Image, display, Audio, Markdown
import base64
IMAGE_PATH = \"data\/triangle.png\"
# Preview image for context
display(Image(IMAGE_PATH))<\/pre>\n\n\n\n
\u4e09\u89d2\u5f62\u793a\u4f8b<\/figcaption><\/figure>\n<\/div>\n\n\n\u73fe\u5728\uff0c\u6211\u5011\u53ef\u4ee5\u5c07\u5176\u7de8\u78bc\u70ba Base64 \u4e26\u767c\u9001\u7d66\u5ba2\u6236\u7aef\uff0c\u4f8b\u5982\uff0c\u6211\u5011\u8a62\u554f\u4e09\u89d2\u5f62\u7684\u9762\u7a4d\uff1a<\/p>\n\n\n\n
# Open the image file and encode it as a base64 string
def encode_image(image_path):
with open(image_path, \"rb\") as image_file:
return base64.b64encode(image_file.read()).decode(\"utf-8\")
base64_image = encode_image(IMAGE_PATH)
response = client.chat.completions.create(
model=\"gpt-4o\",
messages=[
{\"role\": \"system\", \"content\": \"You are a helpful assistant that responds in Markdown. Help me with my math homework!\"},
{\"role\": \"user\", \"content\": [
{\"type\": \"text\", \"text\": \"What's the area of the triangle?\"},
{\"type\": \"image_url\", \"image_url\": {
\"url\": f\"data:image\/png;base64,{base64_image}\"}
}
]}
],
temperature=0.0,
)
print(response.choices[0].message.content)<\/pre>\n\n\n\n\u6211\u5011\u5728\u63a7\u5236\u53f0\u4e0a\u5f97\u5230\u4e86\u6b63\u78ba\u7684\u7b54\u6848\uff1a<\/p>\n\n\n\n
To find the area of the triangle, we can use Heron's formula. First, we need to find the semi-perimeter of the triangle.
The sides of the triangle are 6, 5, and 9.
1. Calculate the semi-perimeter \\( s \\):
\\[ s = \\frac{a + b + c}{2} = \\frac{6 + 5 + 9}{2} = 10 \\]
2. Use Heron's formula to find the area \\( A \\):
\\[ A = \\sqrt{s(s-a)(s-b)(s-c)} \\]
Substitute the values:
\\[ A = \\sqrt{10(10-6)(10-5)(10-9)} \\]
\\[ A = \\sqrt{10 \\cdot 4 \\cdot 5 \\cdot 1} \\]
\\[ A = \\sqrt{200} \\]
\\[ A = 10\\sqrt{2} \\]
So, the area of the triangle is \\( 10\\sqrt{2} \\) square units.<\/pre>\n\n\n\n\u7d50\u8ad6<\/h1>\n\n\n\n
\u7d50\u5408\u5305\u62ec\u97f3\u983b\u3001\u8996\u89ba\u548c\u6587\u672c\u5728\u5167\u7684\u591a\u7a2e\u8f38\u5165\u6a21\u5f0f\uff0c\u63d0\u9ad8\u4e86\u6a21\u578b\u5728\u5404\u7a2e\u4efb\u52d9\u4e0a\u7684\u6027\u80fd\u3002\u9019\u7a2e\u65b9\u6cd5\u4f7f\u5f97\u7406\u89e3\u548c\u4e92\u52d5\u66f4\u52a0\u5168\u9762\uff0c\u63a5\u8fd1\u4eba\u985e\u8655\u7406\u4fe1\u606f\u7684\u65b9\u5f0f\u3002<\/p>\n\n\n\n