过点+P+(+xo+,+yo+）作圆+O+:x²+y²=9的两条切线，切点分别为+A+,+B+，若直线+AB+与圆（x-1）²+y²=1相切，则+yo²++18xo=

根据提供的引用内容，我们可以使用几何知识来解决这个问题。首先，我们需要找到圆和直线的切点，然后计算切点的坐标。接下来，我们可以使用切点的坐标来求解yo²+18xo的值。

根据几何知识，过点P(xo, yo)作圆O(x²+y²=9)的两条切线的切点分别为A和B。如果直线AB与圆(x-1)²+y²=1相切，么我们可以得到以下关系式：

1. 圆O的半径为√9=3。
2. 直线AB的斜率等于圆O的斜率，即直线AB的斜率为-(xo-1)/yo。
3. 直线AB的方程为y = -(xo-1)/yo * (x - xo) + yo。
4. 直线AB与圆(x-1)²+y²=1相切，意味着直线AB与圆(x-1)²+y²=1只有一个交点，即切点。5. 将直线AB的方程代入圆(x-1)²+y²=1的方程，得到一个关于x的二次方程。
6. 由于直线AB与圆(x-1)²+y²=1相切，所以这个二次方程的判别式D=0。
7. 解这个二次方程，得到切点的x坐标。
8. 将切点的x坐标代入直线AB的方程，得到切点的y坐标。
9. 计算yo²+18xo的值。

根据上述步骤，我们可以得到切点的坐标和yo²+18xo的值。请注意，由于没有提供具体的数值，我们无法计算出最终的结果。但是，你可以按照上述步骤自行计算。

相关问题

X(n,:)=1+rand(size(xo)).*(u-1)

This is a MATLAB code that creates a matrix X with the same number of rows as the input matrix xo, and random values between 0 and u-1 for each element in X.

Here's a breakdown of the code:

- X(n,:) = 1: This initializes each row of the matrix X to 1.
- rand(size(xo)): This creates a matrix of random values with the same size as xo.
- .*(u-1): This multiplies each element in the random matrix by u-1, which scales the values to be between 0 and u-1.

Overall, the code generates a new matrix X with the same size as xo, but with random values between 0 and u-1.

关于c ++:从字符串crypto ++导入rsa公钥/私钥

你可以使用Crypto++库中的RSA类来导入RSA公钥/私钥的字符串表示。下面是一个简单的示例代码：

#include <iostream>
#include <string>
#include <cryptopp/rsa.h>
#include <cryptopp/base64.h>

using namespace CryptoPP;

int main()
{
    // RSA keys in PEM format
    std::string publicKeyPEM = "-----BEGIN PUBLIC KEY-----\n"
                               "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAvRJ9YmJ9A0seV0bSf+I6\n"
                               "n5i6dF6qXl5Hf8b0KJvJ7eN0yTnE4t5rKQYdM+DLg1yXz+4kWv8xgJxJW9Q2gY7L\n"
                               "wNqROnFJZrOq6zZVrWXfR4gWVv8grl2PZl6vQfGbdzPd2BhLW1QOyPZfGy1CCoMg\n"
                               "FQd6ZqBx1UJHsUSx/PnV0i35S8zO7Zq9UxOYbRr9SiCsTJ0FNLwPz7CkC5u3VJ5D\n"
                               "z5z2K7U0fGkO+8fOc5Qv2JUqKd6sN2oT+18+eVf/lvtlQ4U3aXyKZB7u0k8T3xKx\n"
                               "3J2r3x4y+o9B3fz1aV0R/5N5Iz2Kt6gJyJmJyNfh0T+D5JLZL8o+Oq8rD8/8mLgV\n"
                               "XQIDAQAB\n"
                               "-----END PUBLIC KEY-----\n";

    std::string privateKeyPEM = "-----BEGIN PRIVATE KEY-----\n"
                                "MIIEvwIBADANBgkqhkiG9w0BAQEFAASCBKkwggSlAgEAAoIBAQCuN1Qa1iRQ9ZvZ\n"
                                "iFfZjzKfKXk9X5Rq8Dp4CCVt1LJbXG8oU1Kd7UeJb+JyQrK+D1hViDUKvC4pDvZL\n"
                                "7Wv8wzZ1mJN+3M+Vc7dqSaTr0z+U4d3ZKQKj1UjF9/3Ud/HXw6Ez84Zx5fX1U7P\n"
                                "3u9Qo+6g0cva0tYcZ8E4m8osjzOZn3n5Z+qoDZ2IuoktDjQOdT7vZJc7JmLQ+6U\n"
                                "Gyf8B4j0c6V7iJ0oqOeq27m2xY6xu9gKwDvZl9zJrFv6f9JQy6yY5ZjXVItK8o+\n"
                                "x3DfX+eD8XO7Z0f1wO3J5lXgBuJop4B3PzZPmZw3jwN3LZwU7hAqjWQvLj5r+DqR\n"
                                "KwvS6TJnAgMBAAECggEBAJv9zZ1N9sN7E+gTt9y/7xFG2PjgB9VjYWg6bd4QKpRq\n"
                                "zGJNj2n8q6k8l7k2uT6sRcO5RhS8bQpO4iLl3GJXZr5kjC0Z/1kE1p4H8Y9e5bDh\n"
                                "gNl3ZnK3Wpli8q7KqUjOY8j6Ktj7+vZnT3sW6v/qpIbQgBn7d3q0qsqzjTm8c5f\n"
                                "V3JzUJqkVJqX1mJmJd6tZslpO8mJyZL/vkC4KszkQeE8xKu6sIiA4r6l5e0+OJ8M\n"
                                "8XmXhV8D8ZcHgKvq7qrBvFq5Xv2mHsLdQO+J7uNLC3iQzY3u4jB6Gk8fN7N3e3jv\n"
                                "dDmf8P0l7dOj6q5sZtqoK6fJjW+PcVnC8KzXUy4YrtkCgYEA3g9W5c7J8KmX3xSU\n"
                                "2p/7VfGzBYC7J1Ll1fz4qWf3XZ2VQF7q6yRrA5X+H2GkZiB3vL8/3gOeO3WuGnI0\n"
                                "bJr1lOY9xMvQj7a6KdC5h4Wvmt3qqh6VdQw7dFx8fJ8x5RQwReOuyZ9nEE5Vf+en\n"
                                "cRg9Uk9LQl3rZ4cazH7c+Lkrj2ECgYEAzL4u8eJ5gCpUvJZJyCmlrJX0GryL1wzE\n"
                                "5zO8m1tjwg1YONyJvR4g4bd7p+56q6v3wTzoumH6x3AWDZC8Z6Jr6i4a8+cnl+9M\n"
                                "P+Jr5Lr2fN2Y7w3dFzHhY5NIR0ZxTQJdC5Jp+el1+Kg2y4eFJZpQz0ueH2Jy6wuz\n"
                                "zqJUQY2RmXUCgYEAwYjQg1FnKPGvJlRrXwL9cO4I3W0gx/kD+LpT8aEguJlRf4uS\n"
                                "ZyN8a+xLZbGzWc5wKT9z3whYf4fXf4aFh2U+ZQzXG7yUa5KdNf7xvP8QXa6omQY0\n"
                                "sQO2e1+Vc1r7h2e0HNY0U6E0g+7l7MBZv5lZP6XG7HdY5k8n1UdbvR9uGkECgYEA\n"
                                "xAIlWc+0qLQUjY7t2sqHjzJ3nV2GxMvW0G9fZgD6loQWtKX2Y7r/x6WLZ9Smc5ZQ\n"
                                "4QJ1l0sT1q2YKqCwR1u+2J9lX8Pp17FZK8Xvq8kPT9lQK9o3+JvUqPvX6xrmJ2mK\n"
                                "R7uxvYv+ZzL2R9gkt/6g1QH0aRZzZj0+6+J5PfWen9sCgYEA7fQxJYJdQdUgJvZL\n"
                                "gH2Y1o5LJ5W1N3v9zQJLJGJ1Tt7TfB3gXzOzL/hsW68Uzr+1JqP6e9LTk5OuWVQG\n"
                                "yR7zFv3p6K5tqT2Z0OJdS4xVw/2zB5YzJiK6I6b5aMZr9o2ZtW/0A1m5RcU6bJSo\n"
                                "Vz5Q5O1ZoD7JdS3d+6iNq+f8dQ==\n"
                                "-----END PRIVATE KEY-----\n";

    // Base64 decode the PEM strings
    std::string publicKeyStr, privateKeyStr;

    StringSource(publicKeyPEM, true, new Base64Decoder(new StringSink(publicKeyStr)));
    StringSource(privateKeyPEM, true, new Base64Decoder(new StringSink(privateKeyStr)));

    // Load the keys from the decoded strings
    RSA::PublicKey publicKey;
    RSA::PrivateKey privateKey;

    StringSource(publicKeyStr, true, new PEMDecoder(new StringSink(publicKey)));
    StringSource(privateKeyStr, true, new PEMDecoder(new StringSink(privateKey)));

    return 0;
}

在这个示例中，我们将PEM格式的RSA公钥/私钥字符串进行Base64解码，然后使用Crypto++库中的PEMDecoder类将它们加载到RSA::PublicKey和RSA::PrivateKey对象中。