我们可以通过以下代码来解决这个问题：

首先，我们要创建一个自定义的WebViewClient，并重写shouldOverrideUrlLoading方法。在这个方法里，我们先调用父类的shouldOverrideUrlLoading方法，然后再手动配置信任的证书。

//创建自定义的WebViewClient
private class MyWebViewClient extends WebViewClient {

    @Override
    public boolean shouldOverrideUrlLoading(WebView view, String url) {
        //调用父类的shouldOverrideUrlLoading方法
        boolean result = super.shouldOverrideUrlLoading(view, url);
        //手动配置信任的证书
        if (url != null && url.startsWith("https://")) {
            try {
                URL myUrl = new URL(url);
                HttpsURLConnection connection = (HttpsURLConnection)myUrl.openConnection();
                if (connection instanceof HttpsURLConnection) {
                    try {
                        Certificate[] certs = connection.getServerCertificates();
                        CertificateFactory certificateFactory = CertificateFactory.getInstance("X.509");
                        KeyStore trustStore = KeyStore.getInstance(KeyStore.getDefaultType());
                        trustStore.load(null);
                        for (Certificate cert : certs) {
                            String alias = cert instanceof X509Certificate ? ((X509Certificate)cert).getSubjectDN().getName() : myUrl.getHost();
                            trustStore.setCertificateEntry(alias, cert);
                        }
                        SSLContext context = SSLContext.getInstance("TLS");
                        TrustManagerFactory tmf = TrustManagerFactory.getInstance(TrustManagerFactory.getDefaultAlgorithm());
                        tmf.init(trustStore);
                        context.init(null, tmf.getTrustManagers(), new SecureRandom());
                        HttpsURLConnection.setDefaultSSLSocketFactory(context.getSocketFactory());
                        HttpsURLConnection.setDefaultHostnameVerifier(new HostnameVerifier() {
                            @Override
                            public boolean verify(String hostname, SSLSession session) {
                                return true;
                            }
                        });
                    } catch (Exception e) {
                        e.printStackTrace();
                    }
                }
            } catch (Exception e) {
                e.printStackTrace();
            }
        }
        return result;
    }

}

接下来，在我们的WebView中，我们要使用这个自定义的WebViewClient。这可以通过以下代码实现：

//在WebView中使用MyWebViewClient
webView.setWebViewClient(new MyWebView